The Odd Gamma Weibull-Geometric Model: Theory and Applications

Mathematics

Christophe Chesneau¹  Farrukh Jamal²  RanaMuhammad Imran Arshad³ 

[1] Department of Mathematics, LMNO, University of Caen, 14032 Caen, France;Department of Statistics, Govt. S.A Postgraduate College Dera Nawab Sahib, Bahawalpur, Punjab 63360, Pakistan;Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan;

关键词: Weibull distribution;    gamma distribution;    hazard rate function;    lifetime data;    maximum likelihood method;   

DOI  :  10.3390/math7050399

来源: DOAJ

【 摘 要 】

In this paper, we study a new four-parameter distribution called the odd gamma Weibull-geometric distribution. Having the qualities suggested by its name, the new distribution is a special member of the odd-gamma-G family of distributions, defined with the Weibull-geometric distribution as baseline, benefiting of their respective merits. Firstly, we present a comprehensive account of its mathematical properties, including shapes, asymptotes, quantile function, quantile density function, skewness, kurtosis, moments, moment generating function and stochastic ordering. Then, we focus our attention on the statistical inference of the corresponding model. The maximum likelihood estimation method is used to estimate the model parameters. The performance of this method is assessed by a Monte Carlo simulation study. An empirical illustration of the new distribution is presented by the analyses two real-life data sets. The results of the proposed model reveal to be better as compared to those of the useful beta-Weibull, gamma-Weibull and Weibull-geometric models.

【 授权许可】

Unknown