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Fitting distributions with R

Fitting distributions with R 1 Fitting distributions WITH R Release February 2005 Vito Ricci Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version or any later version published by the Free Software Foundation: #FDL Copyright 2005 Vito Ricci Fitting distributions with R 2 TABLE OF CONTENTS Introduction Graphics Model choice Parameters estimate Measures of goodness of fit Goodness of fit tests Normality tests Appendix: List of R statements useful for distributions Fitting References Fitting distributions with R 3 Introduction Fitting distributions consists in finding a mathematical function which represents in a good way a statistical variable.

A Quantile-Quantile (Q-Q) plot3 is a scatter plot comparing the fitted and empirical distributions in terms of the dimensional values of the variable (i.e., empirical quantiles). It is a graphical technique for determining if a data set come from a known population. In this plot on the y-axis we have empirical quantiles4 e on the x-

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