A New Class of Generalized Modified Weibull Distribution with Applications

Austrian Journal of Statistics

article

Broderick Oluyede¹  Shujiao Huang¹  Tiantian Yang¹ 

[1] Georgia Southern University

关键词: Gamma distribution;    Modified Weibull distribution;    Maximum likelihood estimation.;   

DOI  :  10.17713/ajs.v44i3.36

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

A new five parameter gamma-generalized modified Weibull (GGMW) distribution which includes exponential, Rayleigh, modified Weibull, Weibull, gamma-modified Weibull, gamma-modified Rayleigh, gamma-modified exponential, gamma-Weibull, gamma-Rayleigh, and gamma-exponential distributions as special cases is proposed and studied. Some mathematical properties of the new class of distributions including moments, distribution of the order statistics, and Renyi entropy are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to a real datasets to illustrates the usefulness of the proposed class of models are presented.

【 授权许可】

CC BY