Statistical analysis of generalized exponential distribution under progressive censoring with binomial removals

被引：7

作者：

Yan, Weian ^{[1
,2
]}

Shi, Yimin ^{[1
]}

Song, Baowei ^{[2
]}

Mao, Zhaoyong ^{[2
]}

机构：

[1] NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[2] NW Polytech Univ, Coll Marine Engn, Xian 710072, Peoples R China

来源：

JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS | 2011年 / 22卷 / 04期

基金：

中国国家自然科学基金;

关键词：

binomial removal; progressive censoring; maximum likelihood estimator; expected experiment time; generalized exponential distribution; PARETO DISTRIBUTION; WEIBULL; INFERENCE; LIKELIHOOD; RECORDS; SAMPLES; FAMILY;

D O I：

10.3969/j.issn.1004-4132.2011.04.022

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The estimation of generalized exponential distribution based on progressive censoring with binomial removals is presented, where the number of units removed at each failure time follows a binomial distribution. Maximum likelihood estimators of the parameters and their confidence intervals are derived. The expected time required to complete the life test under this censoring scheme is investigated. Finally, the numerical examples are given to illustrate some theoretical results by means of Monte-Carlo simulation.

引用

页码：707 / 714

页数：8

共 30 条

[1] Approximate MLE for the scaled generalized exponential distribution under progressive type-II censoring [J].

Asgharzadeh, A. .

JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2009, 38 (03) :223-229

[2] Likelihood and Bayesian estimation of Pr(X<Y) using lower record values from the generalized exponential distribution [J].

Baklizi, Ayman .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2008, 52 (07) :3468-3473

[3]

Balakrishnan Narayanaswamy, 2000, Progressive censoring: theory, methods, and applications

[4]

Cao JH., 2006, INTRO RELIABILITY MA

[5] Parameter estimations for generalized exponential distribution under progressive type-I interval censoring [J].

Chen, D. G. ;

Lio, Y. L. .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2010, 54 (06) :1581-1591

[6] PROGRESSIVELY CENSORED SAMPLES IN LIFE TESTING [J].

COHEN, AC .

TECHNOMETRICS, 1963, 5 (03) :327-&

[7] Generalized exponential distribution: Existing results and some recent developments [J].

Gupta, Rameshwar D. ;

Kundu, Debasis .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (11) :3537-3547

[8]

Gupta RD, 2003, COMPUT STAT DATA AN, V43, P179, DOI 10.1016/S0167-9473(02)00206-2

[9] Generalized exponential distribution: Different method of estimations [J].

Gupta, RD ;

Kundu, D .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2001, 69 (04) :315-337

[10] Generalized exponential distributions [J].

Gupta, RD ;

Kundu, D .

AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 1999, 41 (02) :173-188

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