A New Compound Gamma and Lindley Distribution with Application to Failure Data

Austrian Journal of Statistics

article

Mousa Abdi¹  Akbar Asgharzadeh²  Hassan S. Bakouch³  Zahra Alipour⁴ 

[1] Higher Education Complex of Bam;University of Mazandaran;Tanta University;Iran University of Science and Technology

关键词: hazard rate function;    least squares;    maximum likelihood;    stress-strength parameter;    simulation;    total time on test (TTT) plots.;   

DOI  :  10.17713/ajs.v48i3.843

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

In this paper, we propose a new lifetime distribution by compounding the gamma and Lindley distributions. Construction of it can be interpreted in the viewpoint of the reliability analysis and Bayesian inference. Moreover, the distribution has decreasing and unimodal hazard rate shapes. Several properties of the distribution are obtained, involving characteristics of the (reverse) hazard rate function, quantiles, moments, extreme order statistics and some stochastic order relations. Estimating the distribution parameters is discussed by some estimation methods and their performance is evaluated by a simulation study. Also, estimation of the stress-strength parameter is investigated. Usefulness of the distribution among other models is illustrated by fitting two failure data sets and using some goodness-of-fit measures.

【 授权许可】

CC BY