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%% FSDA
%
% FSDA code for any function is open and extensible.
%
% FSDA is developed by the Robust Statistics Academy of the University of Parma
% (http://rosa.unipr.it) jointly with the
% Joint Research Centre of European Commission
% (https://ec.europa.eu/jrc/en/about/jrc-site/ispra)
%
% The source code is also available on github
% (https://uniprjrc.github.io/FSDA/)
%
% The html documentation of each function in Mathworks style can be found
% in the supplementary software section of MATLAB help system.
% A copy of the documentation can also be found at the web address
% (http://rosa.unipr.it/FSDA/guide.html)
%
% File names, description, category and date last modified
%
% Name - Description - Category - Date last modified
%-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
% ace - Computes alternative conditional expectation - REG-Transformations - 2023 Apr 19
% aceplot - Produces the aceplot to visualize the results of ace - VIS-Reg - 2023 May 10
% add2boxplot - Adds labels to the boxplot figure - VIS-Mult - 2022 Dec 03
% add2spm - Adds objects (personalized clickable multilegends and text labels) to the scatter plot matrix - VIS-Mult - 2023 Apr 19
% add2yX - Adds objects (personalized clickable multilegends and text labels) to the yXplot - VIS-Reg - 2023 Apr 19
% addt - Produces the t test for an additional explanatory variable - REG-Regression - 2022 Nov 10
% ASbdp - Finds the constant c associated to the supplied breakdown point for Andrew's sine function - UTISTAT - 2023 May 29
% ASc - Computes breakdown point and efficiency associated with constant c for Andrew's rho function - UTISTAT - 2023 May 28
% ASeff - Finds the constant c which is associated to the requested efficiency for Andrew's sine function - UTISTAT - 2023 May 28
% ASpsi - Computes psi function (derivative of rho function) for Andrew's sine function - UTISTAT - 2023 May 28
% ASpsider - Computes derivative of psi function (second derivative of rho function) for Andrew's sine function - UTISTAT - 2023 May 29
% ASpsix - Computes psi function (derivative of rho function) times x for Andrew's sine function - UTISTAT - 2023 May 28
% ASrho - Computes rho function for Andrew's sine function - UTISTAT - 2023 May 28
% ASwei - Computes weight function psi(u)/u for Andrew's sine function - UTISTAT - 2023 May 28
% avas - Computes additivity and variance stabilization for regression - REG-Transformations - 2023 Apr 19
% avasms - Computes avas using a series of alternative options - REG-Transformations - 2023 May 17
% avasmsplot - Produces the augmented star plot and enables interactivity - VIS-Reg - 2023 Apr 19
% balloonplot - Creates a balloon plot of a contingency table - VIS-Mult - 2023 Apr 19
% barnardtest - Barnard's unconditional test - MULT-Categorical - 2023 Apr 19
% barVariableWidth - Produces a bar plot with different widths and colors for each bar - VIS-Reg - 2023 Apr 19
% basicPower - Computes the basic power transformation - UTISTAT - 2023 Apr 19
% bc - Returns the Binomial coefficient - UTICOMB - 2023 Sep 08
% biplotFS - Calls biplotAPP.mlapp to show a dynamic biplot - VIS-Mult - 2023 Mar 09
% boxcoxR - Finds MLE of lambda in linear regression (and confidence interval) using Box Cox, YJ or extended YJ transformation - REG-Transformations - 2023 Sep 30
% boxplotb - Computes a bivariate boxplot - VIS-Mult - 2023 Apr 19
% boxtest - Performs Box test of equality of covariance matrices - MULT-Multivariate - 2023 Apr 19
% brushFAN - Displays a GUI which enables brushing in the fanplot - GUI - 2023 Nov 02
% brushRES - Displays a GUI which enables brushing in resfwdplot - GUI - 2022 Nov 10
% brushROB - Displays a GUI which enables brushing in resindexplot - GUI - 2022 Nov 10
% bwe - Estimates the bandwidth smoothing parameter for kernel density estimation - UTISTAT - 2023 Apr 06
% cabc - Closes all open figures except the one in foreground (the current) - UTIGEN - 2022 Nov 10
% carbikeplot - Produces the carbike plot to find best relevant clustering solutions - VIS-Clu - 2023 Sep 20
% carbikeplotGPCM - Produces the carbike plot to find best relevant clustering solutions - VIS-Clu - 2023 Apr 30
% cascade - Is a third party function used in FSDA demos and examples - UTIGEN - 2022 Nov 10
% cdsplot - Produces the candlestick plot for robust model selection in linear regression - VIS-Reg - 2023 Apr 19
% CEVmodel - Computes price and instantaneous variance processes from the CEV model - UTISTAT - 2022 Nov 10
% clickableMultiLegend - Hides/shows symbols inside all gplotmatrix subplots (or similar multi-plots) clicking on the legend - UTIGEN - 2022 Nov 10
% ClusterRelabel - Enables to control the labels of the clusters which contain predefined units - UTISTAT - 2023 Sep 08
% combsFS - Is an iterative algorithm equivalent to the MATLAB combs.m - UTICOMB - 2023 Sep 08
% CorAna - Performs correspondence analysis - MULT-Categorical - 2023 Aug 23
% CorAnaplot - Draws the Correspondence Analysis (CA) graphs with confidence ellipses - VIS-Mult - 2023 Sep 18
% corrcdf - Computes correlation coefficient probability distribution function - ProbDist - 2023 May 29
% corrNominal - Measures strength of association between two unordered (nominal) categorical variables - MULT-Categorical - 2023 Aug 17
% corrOrdinal - Measures strength of association between two ordered categorical variables - MULT-Categorical - 2023 Sep 18
% corrpdf - Computes correlation coefficient probability density function - ProbDist - 2022 Dec 02
% covplot - Plots the trajectories of the elements of the covariance (correlation) matrix monitored - VIS-Mult - 2023 Apr 19
% CressieRead - Computes the power divergence family - MULT-Categorical - 2023 Apr 19
% crosstab2datamatrix - Recreates the original data matrix X from contingency table N - MULT-Categorical - 2023 Apr 19
% ctlcurves - Computes Classification Trimmed Likelihood Curves - CLUS-RobClaMULT - 2023 Sep 08
% ctlcurvesplot - Plots the output of routine ctlcurves - VIS-Clu - 2023 Apr 19
% ctsub - Computes numerical integration from x(1) to z(i) of y=f(x) - UTISTAT - 2023 Apr 06
% dempk - Performs a merging of components found by tkmeans - CLUS-RobClaMULT - 2023 Sep 08
% distribspec - Plots a probability density function between specification limits - UTISTAT - 2023 Oct 03
% ellipse - Generates an ellipse given mu (location vector) and Sigma (scatter matrix) - UTISTAT - 2022 Nov 10
% estregimeTAR - Estimate a regression model with OLS in one of the regimes of a TAR model - REG-Regression - 2022 Nov 10
% exactcdf - Finds exact p-values - UTISTAT - 2022 Nov 10
% existFS - Check if file exists and puts answer in a cached persistent variable - UTIGEN - 2022 Nov 10
% fanBIC - Uses the output of FSRfan to choose the best value of the transformation parameter in linear regression - VIS-Reg - 2023 Nov 02
% fanBICpn - Uses the output of FSRfan called with input option family 'YJpn' to choose la_P and la_N - VIS-Reg - 2023 Nov 02
% fanplot - Plots the fan plot (this function will be replaced by fanplotFS) - VIS-Reg - 2023 Nov 02
% fanplotFS - Plots the fan plot for transformation in linear regression or deletion t stat - VIS-Reg - 2023 Nov 02
% FE_int_vol - Computes the integrated variance from a diffusion process via the Fourier estimator using Dirichlet kernel - UTISTAT - 2023 Apr 19
% FE_int_vol_Fejer - Computes the integrated variance from a diffusion process via the Fourier estimator using Fejer kernel - UTISTAT - 2023 Apr 19
% FE_spot_vol - Estimates the instantaneous variance of a diffusion process by the Fourier estimator with Dirichlet kernel - UTISTAT - 2023 Apr 19
% FE_spot_vol_FFT - Estimates the instantaneous variance of a diffusion process by the Fourier estimator with Dirichlet kernel, using the FFT algorithm - UTISTAT - 2023 Apr 19
% findDir - Finds recursively all directories in root - UTIGEN - 2023 Apr 19
% findFile - Finds recursively all files in root - UTIGEN - 2023 Apr 19
% forecastH - Produce forecasts with confidence bands for regression model with heteroskedasticity - REG-Hetero - 2023 May 29
% forecastTS - Forecast for a time series with trend, time varying seasonal, level shift and irregular component - REG-Regression - 2023 Nov 02
% FowlkesMallowsIndex - Computes the Fowlkes and Mallows index - UTISTAT - 2022 Nov 10
% FSCorAnaeda - Performs forward search in correspondence analysis with exploratory data analysis purposes - MULT-Multivariate - 2023 Apr 19
% FSCorAnaenvmmd - Computes the empirical envelopes of Minimum MD outside subset during the search - MULT-Multivariate - 2023 Apr 19
% FSM - Computes forward search estimator in multivariate analysis - MULT-Multivariate - 2023 Apr 19
% FSMbonfbound - Computes Bonferroni bounds for each step of the search (in mult analysis) - UTISTAT - 2022 Nov 10
% FSMbsb - Gives the units belonging to subset at step(s) msel of the forward search - MULT-Multivariate - 2023 Apr 19
% FSMeda - Performs forward search in multivariate analysis with exploratory data analysis purposes - MULT-Multivariate - 2023 Apr 19
% FSMedaeasy - Is exactly equal to FSMeda but it is much less efficient - MULT-Multivariate - 2023 Apr 19
% FSMenvmmd - Computes the theoretical envelopes of Minimum MD outside subset during the search - MULT-Multivariate - 2023 Apr 19
% FSMfan - Computes confirmatory lrt of a suggested transformation - MULT-Transformations- 2023 Apr 19
% FSMinvmmd - Converts values of minimum Mahalanobis distance into confidence levels - MULT-Multivariate - 2023 Apr 19
% FSMmmd - Monitors minMD - MULT-Multivariate - 2023 Apr 19
% FSMmmdeasy - Is exactly equal to FSMmmd but it is much less efficient - MULT-Multivariate - 2023 Apr 19
% FSMmmdrs - Performs random start monitoring of minimum Mahalanobis distance - CLUS-RobClaMULT - 2023 Sep 08
% FSMtra - Computes MLE of transformation parameters - MULT-Transformations- 2023 Apr 19
% FSR - Computes forward search estimator in linear regression - REG-Regression - 2023 Apr 19
% FSRaddt - Produces t deletion tests for each explanatory variable - REG-ModelSelection - 2023 Sep 20
% FSRB - Gives an automatic outlier detection procedure in Bayesian linear regression - REG-Bayes - 2023 Apr 19
% FSRBbsb - Returns the units belonging to the subset in each step of the Bayesian forward search - REG-Regression - 2023 Apr 19
% FSRBeda - Enables to monitor several quantities in each step of the Bayesian search - REG-Bayes - 2023 Apr 19
% FSRBmdr - Computes minimum deletion residual and other basic linear regression quantities in each step of the Bayesian search - REG-Bayes - 2023 Apr 19
% FSRbonfbound - Computes Bonferroni bounds for each step of the search (in linear regression) - UTISTAT - 2023 Apr 06
% FSRBr - Bayesian forward search in linear regression reweighted - REG-Bayes - 2023 Apr 07
% FSRbsb - Returns the units belonging to the subset in each step of the forward search - REG-Regression - 2023 Apr 19
% FSRcp - Monitors Cp and AIC for all models of interest of size smallp - REG-ModelSelection - 2023 Apr 19
% FSReda - Enables to monitor several quantities in each step of the forward search - REG-Regression - 2023 Apr 19
% FSRenvmdr - Computes the theoretical envelopes of Minimum Deletion Residual outside subset during the search - REG-Regression - 2023 Apr 19
% FSRfan - Monitors the values of the score test statistic for each lambda - REG-Transformations - 2023 Nov 02
% FSRH - Gives an automatic outlier detection procedure in heteroskedastic linear regression - REG-Hetero - 2023 May 13
% FSRHbsb - Returns the units belonging to the subset in each step of the heteroskedastic forward search - REG-Hetero - 2023 May 13
% FSRHeda - Enables to monitor several quantities in each step of the forward search - REG-Hetero - 2023 May 14
% FSRHmdr - Computes minimum deletion residual and other basic linear regression quantities in each step of the heteroskedastic search - REG-Hetero - 2023 May 13
% FSRinvmdr - Converts values of minimum deletion residual into confidence levels - REG-Regression - 2023 Apr 19
% FSRmdr - Computes minimum deletion residual and other basic linear regression quantities in each step of the search - REG-Regression - 2023 Apr 19
% FSRmdrrs - Performs random start monitoring of minimum deletion residual - CLUS-RobClaREG - 2023 Sep 08
% FSRms - Performs robust model selection using flexible trimming in linear regression - REG-ModelSelection - 2023 Apr 19
% FSRr - Forward search in linear regression reweighted - REG-Regression - 2022 Nov 10
% FSRts - Is an automatic adaptive procedure to detect outliers in time series - REG-Regression - 2023 Apr 19
% FSRtsbsb - Returns the units belonging to the subset in each step of the forward search - REG-Regression - 2023 Apr 19
% FSRtsmdr - Computes minimum deletion residual for time series models in each step of the search - REG-Regression - 2023 Apr 19
% funnelchart - Displays a funnel chart - VIS-Mult - 2023 Apr 19
% genSigmaGPCM - Generates covariance matrix for the 14 Gaussian Parsimonious Clustering Models - CLUS-RobClaMULT - 2023 Sep 08
% GowerIndex - Computes matrix of similarity indexes using Gower metric - CLUS-RobClaMULT - 2023 Sep 08
% GUIautocorr - Shows the necessary calculations to obtain the autocorrelation in a GUI - GUI - 2023 Apr 19
% GUIconcentration - Shows the necessary calculations to obtain the GINI concentration index in a GUI - GUI - 2023 Apr 19
% GUIcorr - Shows the necessary calculations to obtain the correlation in a GUI - GUI - 2023 Apr 06
% GUIcov - Shows the necessary calculations to obtain the covariance in a GUI - GUI - 2023 Apr 06
% GUImad - Shows the necessary calculations to obtain MAD, S_M or S_Me in a GUI - GUI - 2023 May 30
% GUIpowermean - Shows the necessary calculations to obtain the power (generalized) mean in a GUI - GUI - 2023 Apr 06
% GUIquantile - Shows the necessary calculations to obtain $x_z$ quantile - GUI - 2023 Apr 19
% GUIregress - Shows the necessary calculations to obtain simple linear regression statistics in a GUI - GUI - 2023 May 01
% GUIskewness - Shows the necessary calculations to obtain the variance in a GUI - GUI - 2023 Apr 06
% GUIstd - Shows the necessary calculations to obtain the standard deviation in a GUI - GUI - 2023 Apr 06
% GUItrimmean - Shows the necessary calculations to obtain the trimmed mean in a GUI - GUI - 2023 Nov 02
% GUIvar - Shows the necessary calculations to obtain the variance in a GUI - GUI - 2023 Apr 06
% GYfilt - Computes the Gervini-Yohai univariate outlier identifier - UTISTAT - 2023 Apr 19
% HAbdp - Finds the constant c associated to the supplied breakdown point - UTISTAT - 2022 Nov 10
% HAc - Computes breakdown point and efficiency associated with constant c - UTISTAT - 2023 Apr 19
% HAeff - Finds the tuning constant that guarrantees a requested asymptotic efficiency - UTISTAT - 2022 Nov 10
% HApsi - Computes psi function using Hampel proposal - UTISTAT - 2022 Nov 10
% HApsider - Computes derivative of psi function using Hampel proposal - UTISTAT - 2022 Nov 10
% HApsix - Computes psi function using Hampel proposal times x - UTISTAT - 2022 Nov 10
% HArho - Computes rho function using Hampel proposal - UTISTAT - 2022 Nov 10
% HAwei - Computes weight function psi(u)/u using Hampel proposal - UTISTAT - 2022 Nov 10
% histFS - Plots a histogram with the elements in each bin grouped according to a vector of labels - VIS-Reg - 2022 Nov 10
% htmlwriteFS - Is an obsolete function which will be removed in future releases. Use publishFS.m instead - UTIHELP - 2023 Sep 08
% HUc - Computes breakdown point and efficiency associated with constant c for Huber link - UTISTAT - 2023 May 28
% HUeff - Finds the constant c which is associated to the requested efficiency for Tukey biweight estimator - UTISTAT - 2023 May 28
% HUpsi - Computes psi function (derivative of rho function) for Huber - UTISTAT - 2022 Nov 10
% HUpsider - Computes derivative of psi function (second derivative of rho function) for Huber - UTISTAT - 2022 Nov 10
% HUpsix - Computes psi function (derivative of rho function) times x for Huber - UTISTAT - 2022 Nov 10
% HUrho - Computes rho function for Huber - UTISTAT - 2022 Nov 10
% HUwei - Computes weight function psi(u)/u for Huber - UTISTAT - 2023 Apr 06
% HYPbdp - Finds constant c which is associated to the requested breakdown point for hyp. tan. estimator - UTISTAT - 2023 May 28
% HYPc - Computes breakdown point and efficiency associated with constant chyperbolic tangent estimator (for a given value of k=sup CVC) - UTISTAT - 2023 May 30
% HYPck - Computes values of the scalars A, B, d for hyperbolic tangent estimator - UTISTAT - 2022 Nov 10
% HYPeff - Finds constant c which is associated to the requested efficiency for hyperbolic estimator - UTISTAT - 2023 May 29
% HYPk - Computes breakdown point and efficiency for hyp. tan. estimator - UTISTAT - 2023 Apr 19
% HYPpsi - Computes psi function for hyperbolic tangent estimator - UTISTAT - 2022 Nov 10
% HYPpsider - Computes derivative of psi function for hyperbolic tangent estimator - UTISTAT - 2022 Nov 10
% HYPpsix - Computes psi function for hyperbolic tangent estimator times x - UTISTAT - 2022 Nov 10
% HYPrho - Computes rho function using hyperbolic tangent estimator - UTISTAT - 2022 Nov 10
% HYPwei - Computes weight function psi(u)/u for hyperbolic tangent estimator - UTISTAT - 2022 Nov 10
% inversegamcdf - Computes inverse-gamma cumulative distribution function - ProbDist - 2022 Dec 02
% inversegaminv - Computes the inverse of the inverse-gamma cumulative distribution function - ProbDist - 2022 Dec 02
% inversegampdf - Computes inverse-gamma probability density function - ProbDist - 2022 Dec 02
% isfunction - Checks if a function exists - UTIGEN - 2022 Nov 10
% kdebiv - Computes (and optionally plots) a kernel smoothing estimate for bivariate data - UTISTAT - 2022 Nov 10
% levfwdplot - Plots the trajectories of leverage along the search - VIS-Reg - 2023 Apr 19
% lexunrank - Gives the the $k$-combination of $n$ elements of position $N$ in the lexicographic order of all combinations - UTICOMB - 2023 Sep 08
% lga - Performs linear grouping analysis - CLUS-RobClaREG - 2023 Sep 08
% logmvnpdfFS - Produces log of Multivariate normal probability density function (pdf) - ProbDist - 2022 Dec 02
% LTSts - Extends LTS estimator to time series - REG-Regression - 2023 Oct 31
% LTStsLSmult - Extends LTSts to the detection of multiple Level Shifts in time series - REG-Regression - 2023 Jun 15
% LTStsVarSel - Does variable selection in the robust time series model LTSts - REG-Regression - 2023 Apr 19
% LXS - Computes the Least Median of Squares (LMS) or Least Trimmed Squares (LTS) estimators - REG-Regression - 2023 Jun 15
% mahalCorAna - Computes Mahalanobis distances (in squared units) for each row of matrix Y - UTISTAT - 2022 Dec 03
% mahalFS - Computes Mahalanobis distances (in squared units) for each row of matrix Y - UTISTAT - 2022 Nov 10
% makecontentsfileFS - Extends Matlab function makecontentsfile - UTIHELP - 2023 Sep 08
% malfwdplot - Plots the trajectories of scaled Mahalanobis distances along the search - VIS-Mult - 2023 Apr 19
% malindexplot - Plots the Mahalanobis distances versus a selected variable - VIS-Mult - 2023 May 01
% mcd - Computes Minimum Covariance Determinant - MULT-Multivariate - 2023 May 10
% mcdCorAna - Computes Minimum Covariance Determinant in correspondence analysis - MULT-Multivariate - 2023 Nov 02
% mcdeda - Monitors Minimum Covariance Determinant for a series of values of bdp - MULT-Multivariate - 2023 Apr 19
% mdpattern - Finds and plots missing data patterns - UTISTAT - 2023 Apr 19
% mdpd - Computes Minimum Distance Power Divergence statistics - UTISTAT - 2023 Apr 19
% mdpdR - Allows to apply Minimum Density Power Divergence criterion to parametric regression problems - REG-Regression - 2023 Apr 19
% mdpdReda - Allows to monitor Minimum Density Power Divergence criterion to parametric regression problems - REG-Regression - 2023 Apr 19
% mdrplot - Plots the trajectory of minimum deletion residual (mdr) - VIS-Reg - 2023 Jul 14
% mdrrsplot - Plots the trajectory of minimum deletion residual from random starts - CLUS-RobClaREG - 2023 Jun 19
% medcouple - Computes the medcouple, a robust skewness estimator - UTISTAT - 2022 Nov 10
% MixSim - Generates k clusters in v dimensions with given overlap - CLUS-MixSim - 2023 Oct 31
% MixSimreg - Generates k regression hyperplanes in p dimensions with given overlap - CLUS-MixSim - 2023 Sep 08
% Mlocation - Finds the M estimator of location in a univariate sample - UTISTAT - 2022 Nov 10
% Mlocsca - Computes M estimator of location and scale in univariate samples - UTISTAT - 2022 Nov 10
% mmdplot - Plots the trajectory of minimum Mahalanobis distance (mmd) - VIS-Mult - 2023 Apr 19
% mmdrsplot - Plots the trajectories of minimum Mahalanobis distances from different starting points - VIS-Mult - 2023 Apr 19
% MMmult - Computes MM estimators in multivariate analysis with auxiliary S-scale - MULT-Multivariate - 2023 Apr 19
% MMmultcore - Computes multivariate MM estimators for a selected fixed scale - MULT-Multivariate - 2023 Apr 19
% MMmulteda - Computes MM estimators in multivariate analysis for a series of values of eff - MULT-Multivariate - 2023 Apr 19
% MMreg - Computes MM estimator of regression coefficients - REG-Regression - 2023 May 29
% MMregcore - Computes MM regression estimators for a selected fixed scale - REG-Regression - 2023 May 29
% MMregeda - Computes MM estimator in linear regression for a series of values of efficiency - REG-Regression - 2023 May 29
% moonplot - Draws the Correspondence Analysis (CA) moonplot - VIS-Mult - 2023 Jul 20
% mreadFS - Enables to create a structure with InputArgs/OptArgs/OutArgs ... from .m function files (OBSOLETE FUNCTION REPLACED BY publishFS.m) - UTIHELP - 2023 Sep 08
% Mscale - Finds the M estimator of the scale - UTISTAT - 2023 May 29
% msdcutoff - Mahalanobis Squared Distance cutoff - UTISTAT - 2023 May 10
% mtR - Generates the same random numbers produced by R software with Mersenne Twister mt19937ar - ProbDist - 2022 Dec 02
% mve - Computes Minimum volume ellipsoid - MULT-Multivariate - 2023 Apr 19
% mveeda - Monitors Minimum volume ellipsoid for a series of values of bdp - MULT-Multivariate - 2023 Apr 19
% nchoosekFS - Returns the Binomial coefficient or matrix containing all combinations - UTICOMB - 2023 Sep 08
% ncpci - Non centrality parameter confidence interval (taken from effect_of_size_toolbox) - UTISTAT - 2023 Apr 19
% ncx2mixtcdf - Computes cumulative distribution function of a linear combination of non-central chi-square +N(0,s) - ProbDist - 2023 Apr 19
% normBoxCox - Computes (normalized) Box-Cox transformation - UTISTAT - 2023 Apr 19
% normYJ - Computes (normalized) Yeo-Johnson transformation - UTISTAT - 2023 Apr 19
% normYJpn - Computes (normalized) extended Yeo-Johnson transformation - UTISTAT - 2023 Apr 19
% openMatlabFileFromHTML - Enables to put in HTML an hypertextual link to a specific MATLAB file - UTIGEN - 2022 Nov 10
% OPTbdp - Finds the constant c associated to the supplied breakdown point - UTISTAT - 2022 Nov 10
% OPTc - Computes breakdown point and efficiency associated with constant c for Optimal rho function - UTISTAT - 2022 Nov 10
% OPTeff - Finds the constant c which is associated to the requested efficiency - UTISTAT - 2023 May 28
% OptimalCuttingFrequency - Computes the optimal cutting frequency for the Fourier estimator of integrated variance - UTISTAT - 2023 Apr 03
% OPTpsi - Computes psi function (derivative of rho function) for optimal weight function - UTISTAT - 2022 Nov 10
% OPTpsider - Computes derivative of psi function (second derivative of rho function) for optimal weight function - UTISTAT - 2022 Nov 10
% OPTpsix - Computes psi function (derivative of rho function) times x - UTISTAT - 2022 Nov 10
% OPTrho - Computes rho function for optimal weight function - UTISTAT - 2022 Nov 10
% OPTwei - Computes weight function psi(u)/u for optimal weight function - UTISTAT - 2022 Nov 10
% overlap - Computes the exact overlap given the parameters of the mixture - CLUS-MixSim - 2023 Sep 08
% overlapmap - Produces an interactive overlap map - CLUS-RobClaMULT - 2023 Sep 08
% pcaFS - Performs Principal Component Analysis (PCA) on raw data - MULT-Multivariate - 2023 Jul 26
% PDbdp - Finds the constant alpha associated to the supplied breakdown point for minimum power divergence estimator - UTISTAT - 2023 Apr 07
% PDc - Computes breakdown point and efficiency associated with tuning constant alpha for minimum power divergence estimator - UTISTAT - 2023 May 28
% PDeff - Finds the constant alpha which is associated to the requested efficiency for minimum power divergence estimator - UTISTAT - 2023 May 28
% PDpsi - Computes psi function (derivative of rho function) for minimum density power divergence estimator - UTISTAT - 2023 Apr 07
% PDpsider - Computes derivative of psi function (second derivative of rho function) for minimum power divergence estimator - UTISTAT - 2023 Apr 07
% PDpsix - Computes psi function (derivative of rho function) times x for minimum density power divergence estimator - UTISTAT - 2023 Apr 07
% PDrho - Computes rho function for minimum density power divergence estimator - UTISTAT - 2023 Apr 07
% PDwei - Computes weight function psi(u)/u for for minimum density power divergence estimator - UTISTAT - 2023 May 30
% position - Controls the position of the open figures - UTIGEN - 2023 Nov 02
% Powertra - Computes power transformation (Box-Cox or Yeo-Johnson) - UTISTAT - 2023 Apr 19
% publishBibliography - Enables to create web page which contains the references inside the input .m files - UTIHELP - 2023 Sep 08
% publishFS - Enables to create automatic HELP FILES from structured .m function files - UTIHELP - 2023 Sep 08
% publishFunctionAlpha - Enables to create web page which contains the alphabetical list of functions - UTIHELP - 2023 Sep 08
% publishFunctionCate - Enables to create web page which contains the categorical list of functions - UTIHELP - 2023 Sep 08
% Qn - Robust estimator of scale (first quartile of interpoint distances $|x_i-x_j|$) - UTISTAT - 2023 Apr 06
% qqplotFS - Creates qqplot of studentized residuals with envelopes - VIS-Reg - 2023 Apr 19
% quickselectFS - Finds the k-th order statistic - UTIGEN - 2023 May 10
% quickselectFS_demo - Illustrates the functioning of quickselectFS - GUI - 2023 May 10
% quickselectFSw - Finds the 100*p-th weighted order statistic for $0<p<1$ - UTIGEN - 2023 Sep 25
% quickselectFSw_demo - Illustrates the functioning of quickselectFSw - GUI - 2023 May 10
% RandIndexFS - Calculates Rand type Indices to compare two partitions - UTISTAT - 2022 Nov 10
% randsampleFS - Generates a random sample of k elements from the integers 1 to n (k<=n) - UTICOMB - 2023 Sep 08
% rcontFS - Generates a random two-way table with given marginal totals - MULT-Categorical - 2023 Apr 19
% regressB - Computes Bayesian estimates of regression parameters - REG-Bayes - 2023 Apr 19
% regressH - Fits a multiple linear regression model with heteroskedasticity - REG-Hetero - 2023 May 13
% regressHart - Fits a multiple linear regression model using ART heteroskedasticity - REG-Hetero - 2023 May 14
% regressHhar - Fits a multiple linear regression model with Harvey heteroskedasticity - REG-Hetero - 2023 May 14
% regressts - Computes estimates of regression parameters for a time series models - REG-Regression - 2023 Apr 19
% removeExtraSpacesLF - Removes extra spaces and selected carriage returns from input string - UTIGEN - 2022 Nov 10
% repDupValWithMean - Replaces values of y which have non unique elements in vector x with local means - UTIGEN - 2023 Apr 19
% resfwdplot - Plots the trajectories of the monitored scaled (squared) residuals - VIS-Reg - 2023 Jun 19
% resindexplot - Plots the residuals from a regression analysis versus index number or any other variable - VIS-Reg - 2023 Apr 19
% restrdeter - Computes determinant restriction - CLUS-RobClaMULT - 2023 Sep 08
% restrdeterGPCM - Applies determinat restrictions for the 14 GPCM - CLUS-RobClaMULT - 2023 Sep 08
% restreigen - Computes eigenvalues restriction (without Dykstra algorithm) - CLUS-RobClaMULT - 2023 Sep 08
% restreigeneasy - Computes eigenvalues restriction (without Dykstra algorithm) - CLUS-RobClaMULT - 2023 Sep 08
% restreigenmemopt - Computes eigenvalues restriction (without Dykstra algorithm) - CLUS-RobClaMULT - 2023 Sep 08
% restrshapeExact - Computes constrained Gamma (shape) matrix with exact constraints - CLUS-RobClaMULT - 2023 Sep 08
% restrshapeGPCM - Produces the restricted shape matrix for the 14 GPCM - CLUS-RobClaMULT - 2023 Sep 08
% restrSigmaGPCM - Computes constrained covariance matrices for the 14 GPCM specifications - CLUS-RobClaMULT - 2023 Sep 08
% RhoPsiWei - Finds rho, psi, psi', w functions given bdp, or eff or tuning constant c - UTISTAT - 2023 May 29
% RKbdp - Finds the constants c associated to the supplied breakdown point and asymptotic rejection point - UTISTAT - 2023 Apr 06
% RKeff - Finds the constants c and M which are associated to the requested efficiency and ARP - UTISTAT - 2022 Nov 10
% RKpsi - Computes psi function for Rocke (translated Tukey's) biweight - UTISTAT - 2023 Apr 06
% RKpsider - Computes derivative of psi function (second derivative of rho function) for Rocke (translated Tukey's) biweight - UTISTAT - 2023 Apr 06
% RKpsix - Computes psi function times x for Rocke (translated Tukey's) biweight - UTISTAT - 2023 Apr 06
% RKrho - Computes rho function for Rocke (translated Tukey's) biweight - UTISTAT - 2023 Apr 06
% RKwei - Computes weight function psi(u)/u for Rocke (translated Tukey's) biweight - UTISTAT - 2023 Apr 06
% rlga - Performs robust linear grouping analysis - CLUS-RobClaREG - 2023 Sep 08
% rlsmo - Computes a running-lines smoother with global cross-validation - REG-Transformations - 2023 Apr 06
% RobCov - Computes covariance matrix of robust regression coefficients - REG-Regression - 2023 Apr 19
% RobRegrSize - Provides proper threshold for robust estimators to obtain an empirical size close to 1 per cent nominal size - REG-Regression - 2022 Nov 10
% rthin - Applies independent random thinning to a point pattern - UTISTAT - 2022 Nov 10
% scatterboxplot - Creates scatter diagram with marginal boxplots - VIS-Mult - 2023 Sep 20
% Score - Computes the score test for transformation - REG-Transformations - 2023 Apr 19
% ScoreYJ - Computes the score test for Yeo and Johnson transformation - REG-Transformations - 2023 Apr 19
% ScoreYJall - Computes all the 4 score tests for YJ transformation - REG-Transformations - 2023 Apr 19
% ScoreYJmle - Computes the likelihood ratio test fof H_0=lambdaP=lambdaP0 and lambdaN=lambdaN0 - REG-Transformations - 2023 Apr 19
% ScoreYJpn - Computes the score test for YJ transformation for pos and neg observations - REG-Transformations - 2023 Apr 19
% SDest - Computes Stahel-Donoho robust estimator of dispersion-location - MULT-Multivariate - 2023 Apr 19
% SETARX - Implements Threshold autoregressive models with two regimes - REG-Regression - 2023 Apr 06
% setdiffFS - Finds the positive integers in a which are not present in the positive integers in b - UTIGEN - 2022 Nov 10
% setToolboxStartEnd - Sets release compatibility in ToolboxPackagingConfiguration.prj file - UTIHELP - 2023 Sep 08
% shuffling - Does a random permutation of the elements of input vector - UTICOMB - 2023 Sep 08
% simdataset - Simulates and-or contaminates a dataset given the parameters of a finite mixture model with Gaussian components - CLUS-MixSim - 2023 Sep 08
% simdatasetreg - Simulates a regression dataset given the parameters of a mixture regression model - CLUS-MixSim - 2023 Sep 08
% simulateLM - Simulates linear regression data with prespecified values of statistical indexes - REG-Regression - 2023 Apr 19
% simulateTS - Simulates a time series with trend, time varying seasonal, level shift and irregular component - REG-Regression - 2023 Apr 19
% smothr - Produces smoothed values with constraints - REG-Transformations - 2023 Apr 06
% Smult - Computes S estimators in multivariate analysis - MULT-Multivariate - 2023 Apr 19
% Smulteda - Computes S estimators in multivariate analysis for a series of values of bdp - MULT-Multivariate - 2023 Apr 19
% Sn - Robust estimator of scale (robust version of Gini's average difference) - UTISTAT - 2023 Apr 06
% SparseTableTest - Computes independence test for large and sparse contingency tables - MULT-Categorical - 2023 Apr 19
% spmplot - Produces an interactive scatterplot matrix with boxplots or histograms on the main diagonal and possibly robust bivariate contours - VIS-Mult - 2023 Nov 01
% Sreg - Computes S estimators in linear regression - REG-Regression - 2023 May 29
% Sregeda - Computes S estimators in linear regression for a series of values of bdp - REG-Regression - 2023 May 29
% subsets - Creates a matrix of indexes where rows are distinct p-subsets extracted from a set of n elements - UTICOMB - 2023 Sep 08
% suplabel - Places text as a title, xlabel, or ylabel on a group of subplots - UTIGEN - 2022 Nov 10
% supsmu - Smooths scatterplots using Friedman's supersmoother algorithm - REG-Transformations - 2022 Nov 10
% tabledisp - Displays in good format a table or array in the command line - UTIGEN - 2023 Mar 27
% tabulateFS - Creates frequency table of unique values of x, excluding possible 0 counts - UTISTAT - 2022 Nov 10
% Taureg - Computes Tau estimators in linear regression - REG-Regression - 2023 May 29
% TBbdp - Finds the constant c associated to the supplied breakdown point for Tukey's biweight - UTISTAT - 2023 May 27
% TBc - Computes breakdown point and efficiency associated with constant c for Tukey's biweight - UTISTAT - 2023 May 28
% TBeff - Finds the constant c which is associated to the requested efficiency for Tukey's biweight - UTISTAT - 2023 May 28
% tBothSides - Allows users to transform both sides of a (nonlinear) regression model - REG-Regression - 2023 Apr 19
% TBpsi - Computes psi function (derivative of rho function) for Tukey's biweight - UTISTAT - 2023 Apr 06
% TBpsider - Computes derivative of psi function (second derivative of rho function) for Tukey's biweight - UTISTAT - 2022 Nov 10
% TBpsix - Computes psi function (derivative of rho function) times x for Tukey's biweight - UTISTAT - 2022 Nov 10
% TBrho - Computes rho function for Tukey's biweight - UTISTAT - 2023 Apr 06
% TBwei - Computes weight function psi(u)/u for Tukey's biweight - UTISTAT - 2023 Apr 06
% tclust - Computes trimmed clustering with scatter restrictions - CLUS-RobClaMULT - 2023 Sep 08
% tclusteda - Computes tclust for a series of values of the trimming factor - CLUS-RobClaMULT - 2023 Sep 08
% tclustIC - Computes tclust for different number of groups k and restriction factors c - CLUS-RobClaMULT - 2023 Sep 08
% tclustICgpcm - Computes tclust for different number of groups k and restr. factors $c_{det}$ and $c_{shw}$ - CLUS-RobClaMULT - 2023 Sep 08
% tclustICplot - Plots information criterion as a function of c and k - VIS-Clu - 2023 Sep 18
% tclustICplotGPCM - Plots information criterion as a function of $c_{det}$, $c_{shw}$, $c_{shb}$ and $k$ - VIS-Clu - 2023 Apr 19
% tclustICsol - Extracts a set of best relevant solutions - CLUS-RobClaMULT - 2023 Sep 18
% tclustICsolGPCM - Extracts a set of best relevant solutions from 3D array computed using function tclustICgpcm - CLUS-RobClaMULT - 2023 Sep 08
% tclustreg - Performs robust linear grouping analysis - CLUS-RobClaREG - 2023 Sep 08
% tclustregeda - Performs robust linear grouping analysis for a series of values of the trimming factor - CLUS-RobClaREG - 2023 Sep 08
% tclustregIC - Computes tclustreg for different number of groups k and restriction factors c - CLUS-RobClaREG - 2023 Sep 08
% tkmeans - Computes trimmed k-means - CLUS-RobClaMULT - 2023 Sep 08
% triu2vec - Extracts in a vector the linear indexes or the elements on and above the k-th diagonal of a square matrix - UTIGEN - 2022 Nov 10
% twdcdf - Computes the cumulative distribution function of the Tweedie distribution - ProbDist - 2022 Dec 02
% twdpdf - Computes the probability density function of the Tweedie distribution - ProbDist - 2022 Dec 02
% twdrnd - Generates random variates from the Tweedie distribution - ProbDist - 2022 Dec 02
% txmerge - Performs a (hierarchical) merging of the inflated number of components found by tkmeans or tclust - CLUS-RobClaMULT - 2023 Sep 08
% unibiv - Has the purpose of detecting univariate and bivariate outliers - MULT-Multivariate - 2023 Apr 19
% upperfracpos - Positions two figures on the upper part of the screen - UTIGEN - 2022 Nov 10
% verLessThanFS - Compares version of MATLAB to specified version number - UTIGEN - 2022 Nov 10
% vervaatrnd - Simulates random variates from the Vervaat perpetuity distribution - ProbDist - 2022 Dec 02
% vervaatsim - Returns a Vervaat perpetuity - ProbDist - 2022 Dec 02
% vervaatxdf - Returns the pdf and cdf of a Vervaat perpetuity - ProbDist - 2022 Dec 02
% VIOM - Computes weights estimates under Variance-Inflation Model - REG-Regression - 2023 Apr 19
% waterfallchart - Creates a waterfall chart - VIS-Mult - 2023 Apr 19
% wedgeplot - Generates the double wedge plot of a time series - VIS-Reg - 2023 Oct 31
% winsor - Returns a winsorized copy of input - UTISTAT - 2022 Nov 10
% WNChygecdf - Returns Wallenius' non-central hypergeometric cumulative distribution function - ProbDist - 2023 Apr 06
% WNChygepdf - Returns Wallenius' non-central hypergeometric probability density function - ProbDist - 2023 Apr 06
% wraptextFS - Formats long strings into wrapped text of specified width - UTIGEN - 2023 Apr 19
% wthin - Thins a uni/bi-dimensional dataset - UTISTAT - 2023 Sep 18
% xmlcreateFS - Creates an XML file passing through publishFS - UTIHELP - 2023 Sep 08
% yXplot - Produces an interactive scatterplot of y against each variable of X in the input dataset - VIS-Reg - 2023 Nov 02
% zscoreFS - Computes (robust) standardized z scores - UTIGEN - 2023 Sep 18