A lifetime model with increasing failure rate

被引：22

作者：

Bakouch, Hassan S. ^{[1
,2
]}

Jazi, Mansour Aghababaei ^{[3
]}

Nadarajah, Saralees ^{[4
]}

Dolati, Ali ^{[5
]}

Roozegar, Rasool ^{[5
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

[2] King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21589, Saudi Arabia

[3] Univ Sistan & Baluchestan, Fac Math, Zahedan, Iran

[4] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[5] Yazd Univ, Dept Stat, Yazd 89195741, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 23期

关键词：

Exponentiated exponential distribution; IFR; Lifetime data; Poisson-exponential distribution; Weibull distribution; Weighted exponential distribution; RELIABILITY PROPERTIES; RICHNESS; SIZE;

D O I：

10.1016/j.apm.2014.04.028

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with a new two-parameter lifetime distribution with increasing failure rate. This distribution is constructed as a distribution of a random sum of independent exponential random variables when the sample size has a zero truncated binomial distribution. Various statistical properties of the distribution are derived. We estimate the parameters by maximum likelihood and obtain the Fisher information matrix. Simulation studies show the performance of the estimators. Also, estimation of the parameters is considered in the presence of censoring. A real data set is analyzed for illustrative purposes and it is noted that the distribution is a good competitor to the gamma, Weibull, exponentiated exponential, weighted exponential and Poisson-exponential distributions for this data set. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：5392 / 5406

页数：15

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