A GENERALIZED CLASS OF EXPONENTIATED MODI ED WEIBULL DISTRIBUTION WITH APPLICATIONS
نویسندگان
چکیده
In this paper, a new class of five parameter gamma-exponentiated or generalized modified Weibull (GEMW) distribution which includes exponential, Rayleigh, Weibull, exponentiated gamma gamma-modified gamma-Weibull, gamma-Rayleigh and gamma-exponential distributions as special cases is proposed studied. Mathematical properties including moments, mean deviations, Bonferroni Lorenz curves, order statistics Renyi entropy are presented. Maximum likelihood estimation technique used to estimate the model parameters applications real data sets presented in illustrate usefulness its sub-models.
منابع مشابه
Exponentiated Generalized Inverse Weibull Distribution
The inverse Weibull distribution can be readily applied to a wide range of situations including applications in medicine, reliability and ecology. In this article we introduce a new model of generalized inverse Weibull distribution referred to as the Exponentiated generalized inverse distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment gener...
متن کاملThe Gamma-Exponentiated Weibull Distribution
We study the gamma-exponentiated Weibull distribution which includes as special cases several models such as the exponential, Weibull, exponentiatedWeibull, gamma-exponentiated exponential and exponentiated exponential distributions. This new distribution might be useful for failure time data analysis. We demonstrate that its density function is an infinite linear combination of Weibull densiti...
متن کاملThe Exponentiated Inverted Weibull Distribution
The exponentiated -parent distribution is a generalization of the standard parent distribution. [7] introduced a simple generalization to weibull distribution namely the exponentiated weibull distribution. The new distribution was applied to analyzing bathtub failure rates lifetime data. In this paper, we consider the standard exponentiated inverted weibull distribution (EIW) that generalizes t...
متن کاملTransmuted Exponentiated Modified Weibull Distribution
A generalization of the exponentiated modified Weibull distribution so-called the transmuted exponentiated modified Weibull distribution is proposed and studied. Various structural properties including explicit expressions for the moments, quantiles, and moment generating function of the new distribution are derived. The estimation of the model parameters is performed by least square method. We...
متن کاملThe Transmuted Exponentiated Weibull Geometric Distribution: Theory and Applications
A generalization of the exponentiated Weibull geometric model called the transmuted exponentiated Weibull geometric distribution is proposed and studied. It includes as special cases at least ten models. Some of its structural properties including order statistics, explicit expressions for the ordinary and incomplete moments and generating function are derived. The estimation of the model param...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of data science
سال: 2021
ISSN: ['1680-743X', '1683-8602']
DOI: https://doi.org/10.6339/jds.201610_14(4).0002