A Generalized Class of Exponentiated Modi Ed Weibull Distribution With Applications

Journal of Data Science

article

Shusen Pu¹  Broderick O. Oluyede²  Yuqi Qiu³  Daniel Linder⁴ 

[1] Department of Mathematics, Applied Mathematics and Statistics Case Western Reserve University;Department of Mathematical Sciences Georgia Southern University;Department of Family Medicine and Public Health University of California;Department of Biostatistics Georgia Southern University

关键词: Modified Weibull distribution;    statistical properties;   

DOI  :  10.6339/JDS.201610_14(4).0002

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

In this paper, a new class of five parameter gamma-exponentiated or generalized modified Weibull (GEMW) distribution which includes exponential, Rayleigh, Weibull, modified Weibull, exponentiated Weibull, exponentiated exponential, exponentiated modified Weibull, exponentiated modified exponential, gamma-exponentiated exponential, gamma exponentiated Rayleigh, gamma-modified Weibull, gamma-modified exponential, gamma-Weibull, gamma-Rayleigh and gamma-exponential distributions as special cases is proposed and studied. Mathematical properties of this new class of distributions including moments, mean deviations, Bonferroni and Lorenz curves, distribution of order statistics and Renyi entropy are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real data sets presented in order to illustrate the usefulness of this new class of distributions and its sub-models.

【 授权许可】

CC BY