Abstract

In this study we are going to discuss an extended form of Pearson, including the reversed generalized Pearson curves distribution as its subfamily, and refer to it as the extended generalized same distribution. Because of many difficulties described in the literature in modeling the parameters, we propose here a new extended model. The model associated to this heuristic is implemented to validate the result of the generalized Pearson family routine in the specific cases. This study is presents same applications of Pearson family’s of distributions, and give the new extended, which extends the classical Pearson family. Various properties of this new family are investigated and then exploited to derive several related results, especially characterizations, in probability. As a motivation, the statistical applications of the results based on health related data are included. It is hoped that the findings of this work will be useful for the practitioners in various fields of theoretical and applied sciences.

Key words: Pearson and Burr family distribution extended, special, families, goodness of fit.