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Chapter 3: Sampling Concepts                                     73






                             3.6 MATLAB Code

                             The MATLAB Statistics Toolbox has functions for calculating the maximum
                             likelihood estimates for most of the common distributions, including the
                             gamma and the Weibull distributions. It is important to remember that the
                             parameters estimated for some of the distributions (e.g., exponential and
                             gamma) are different from those defined in Chapters 2 and 3. We refer the
                             reader to Appendix E for a complete list of the functions appropriate to this
                             chapter. Table 3.2 provides a partial list of MATLAB functions for calculating
                             statistics.We also provide some functions for statistics with the Computa-
                             tional Statistics Toolbox. These are summarized in Table 3.3.

                                   AB
                                        3
                                  T
                                   A
                                    B
                                    B
                                      E3
                                      E
                                  TA A BL  LE L L E  3.2 .2 .2
                                  T
                                         .2
                                  T
                                        3
                                  List of MATLAB functions for calculating statistics
                                             Purpose                    MATLAB Function
                                  These functions are available in the      mean
                                   standard MATLAB package.                 var
                                                                            std
                                                                            cov
                                                                           median
                                                                          corrcoef
                                                                          max, min
                                                                            sort
                                  These functions for calculating         harmmean
                                   descriptive statistics are available in the   iqr
                                   MATLAB Statistics Toolbox.             kurtosis
                                                                            mad
                                                                           moment
                                                                           prctile
                                                                            range
                                                                          skewness
                                                                          trimmean
                                  These MATLAB Statistics Toolbox          betafit
                                   functions provide the maximum           binofit
                                   likelihood estimates for distributions.  expfit
                                                                           gamfit
                                                                           normfit
                                                                          poissfit
                                                                           weibfit
                                                                           unifit
                                                                            mle






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