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تحت إشراف قسم الرياضيات والإحصاء ​أقيم يوم الثلاثاء 1/9/1442هـ  سيمنار بعنوان:

Exponentiated power generalized Weibull  power series family of distributions : Properties, estimation and applications

قدمه  أ.د. إبراهيم البطل  وذلك في تمام الساعة 10:00 مساءً عبر برنامج الزووم

ملخص البحث:

Abstract. In this paper, we introduce the exponentiated power generalized Weibull power series  (EPGWPS) family of distributions, obtained by compounding the exponentiated power generalized  Weibull and power series distributions. By construction, the new family contains a myriad of new flexible lifetime distributions having strong physical interpretations (lifetime system, biological studies. . .). We discuss the characteristics and properties of theEPGWPS family, including its probability density and hazard rate functions, quantiles, moments, incomplete  moments, skewness and kurtosis. The main vocation of the EPGWPS family remains to be applied in a statistical  setting, and data analysis in particular.  In this regard, we explore the estimation of the model parameters by the  maximum likelihood method, with accuracy supported by a detailed simulation study. Then, we apply it to two  

practical data sets, showing the applicability and competitiveness of the EPGWPS models in comparison to some other well-reputed models.