A new three-parameter exponential distribution with applications in reliability and engineering

The Journal of Nonlinear Sciences and its Applications

article

Maha A. Aldahlan¹  Ahmed Z. Afify² 

[1] Department of, Statistics, College of Science, University of Jeddah;Department of Statistics, Mathematics, Insurance, Benha University

关键词: Exponential distribution;    generating function;    inverse Pareto-G family;    maximum likelihood;    order statistics;   

DOI  :  10.22436/jnsa.013.05.03

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

We introduce a new three-parameter model called the oddinverse Pareto exponential distribution which extends the exponentialdistribution and provides constant, decreasing, increasing,decreasing-increasing, upside-down bathtub and bathtub failure rate shapes.Some of its mathematical properties are derived. The maximum likelihoodmethod is used to estimate the model parameters. The proposed model providesbetter fits over some existing distributions by means of two real datasets.

【 授权许可】

Unknown