Inferences using type-II progressively censored data with binomial removals

This paper considers the estimation problem for Burr type-X model, when the lifetimes are collected under type-II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial distribution. The methods of maximum likelihood as well as the Bayes...

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Bibliographic Details
Published inArabian journal of mathematics Vol. 4; no. 2; pp. 127 - 139
Main Authors Soliman, Ahmed A., Abd Ellah, Ahmed H., Abou-Elheggag, Nasser A., El-Sagheer, Rashad M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2015
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
62F10
62N05
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Summary:This paper considers the estimation problem for Burr type-X model, when the lifetimes are collected under type-II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial distribution. The methods of maximum likelihood as well as the Bayes procedure to derive both point and interval estimates of the parameters are used. The expected test time to complete the censoring test is computed and analyzed for different censoring schemes. The effect of the binomial distribution parameter p on the expected test time under progressive censoring and the relative expected test time over the complete sample are investigated. Monte Carlo simulations are performed to compare and evaluate the performance of different methods. Furthermore, an example with a real data set is presented for illustrative purposes.
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-015-0127-8