![]() ![]() The parameters of the distribution are estimated by maximizing the likelihood of the sample. Maximum of Likelihood for fitting a distribution However, for certain distributions, the mean suffices (for example Poisson's distribution), or, if not, the asymmetry coefficient is also required (Weibull's distribution for example). For most distributions, the use of the mean and the variance is sufficient. This simple method uses the definition of the moments of the distribution as a function of the parameters to determine the latter. ![]() XLSTAT offers two fitting methods: Moments for distribution fitting Fitting a distribution to a data sample consists, once the type of distribution has been chosen, in estimating the parameters of the distribution so that the sample is the most likely possible (as regards the maximum likelihood) or that at least certain statistics of the sample (mean, variance for example) correspond as closely as possible to those of the distribution. ![]()
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