The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time the Kum-GEP distribution is introduced and studied. This distribution can have a decreasing and upside-down bathtub failure rate function depending on the value of its parameters; it's including some special sub-model like exponentiated P...

New distribution of inverse Pareto using kumaraswamy generalized called Kumaraswamy is introduced in this paper. The proposed model applicable the study variety fields. Several properties distribution, including explicit expressions for quantile, moments, moment generating function and are studied. maximum likelihood estimation used to estimate parameters derive information matrix it. Simulatio...

background and purpose: the identification of genetics risk factors of human diseases is very important. this study is conducted to model the allele frequencies (afs) of alzheimer’s disease. materials and methods: in this study, several candidate probability distributions are fitted on a data set of alzheimer’s disease genetic risk factor. unknown parameters of the considered distributions are ...

A new family of distributions called the mixture exponentiated Kumaraswamy-G (henceforth, in short, ExpKum-G) class is developed. We consider Weibull distribution as baseline (G) to propose and study this special sub-model, which we call Kumaraswamy distribution. Several useful statistical properties proposed ExpKum-G are derived. Under classical paradigm, maximum likelihood estimation under pr...

UNLABELLED In this paper, we propose a five-parameter lifetime model called the McDonald exponentiated gamma distribution to extend beta exponentiated gamma, Kumaraswamy exponentiated gamma and exponentiated gamma, among several other models. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment. We discuss estimation...