A MCMC-type simple probabilistic approach for determining optimal progressive censoring schemes

被引：3

作者：

Bhattacharya, Ritwik ^{[1
]}

Balakrishnan, Narayanaswamy ^{[2
]}

机构：

[1] Inst Tecnol & Estudios Super Monterrey, Dept Ind Engn, Sch Engn & Sci, Monterrey 76130, Queretaro, Mexico

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2024年 / 53卷 / 04期

关键词：

Life-testing experiment; Near-optimal solution; Optimal progressive censoring; Quantile; Variance measure; Cost criterion; LIFE;

D O I：

10.1080/03610918.2022.2057537

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We present here a simple probabilistic approach for determining an optimal progressive censoring scheme by defining a probability structure on the set of feasible solutions. Given an initial solution, the new updated solution is computed within the probabilistic structure. This approach will be especially useful when the cardinality of the set of feasible solutions is large. The validation of the proposed approach is demonstrated by comparing the optimal scheme so determined with the one obtained by exhaustive numerical search.

引用

页码：1758 / 1767

页数：10

共 50 条

[1] On optimal schemes in progressive censoring
Burkschat, M
Cramer, E
Kamps, U
STATISTICS & PROBABILITY LETTERS, 2006, 76 (10) : 1032 - 1036
[2] Optimality criteria and optimal schemes in progressive censoring
Burkschat, M.
Cramer, E.
Kamps, U.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (07) : 1419 - 1431
[3] On Optimal Progressive Censoring Schemes for Normal Distribution
Salemi U.H.
Rezaei S.
Si Y.
Nadarajah S.
Nadarajah, S. (mbbsssn2@manchester.ac.uk), 2018, Springer Science and Business Media Deutschland GmbH (05) : 637 - 658
[4] Optimal progressive Type-II censoring schemes for nonparametric confidence intervals of quantiles
Balakrishnan, N.
Han, Donghoon
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2007, 36 (06) : 1247 - 1262
[5] On optimality of extremal schemes in progressive type II censoring
Burkschat, M.
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (06) : 1647 - 1659
[6] Optimal sampling and statistical inferences for Kumaraswamy distribution under progressive Type-II censoring schemes
Osama E. Abo-Kasem
Ahmed R. El Saeed
Amira I. El Sayed
Scientific Reports, 13
[7] Optimal sampling and statistical inferences for Kumaraswamy distribution under progressive Type-II censoring schemes
Abo-Kasem, Osama E.
El Saeed, Ahmed R.
El Sayed, Amira I.
SCIENTIFIC REPORTS, 2023, 13 (01)
[8] Reliability estimation from Topp Leone smixture distribution using optimal progressive censoring schemes: A Bayesian approach
Feroze, Navid
Aslam, Muhammad
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) : 1539 - 1556
[9] Modified Weibull model: A Bayes study using MCMC approach based on progressive censoring data
Soliman, Ahmed A.
Abd-Ellah, Ahmed H.
Abou-Elheggag, Naser A.
Ahmed, Essam A.
RELIABILITY ENGINEERING & SYSTEM SAFETY, 2012, 100 : 48 - 57
[10] Inference and optimal censoring scheme for a competing-risks model with type-II progressive censoring
Tian, Yajie
Liang, Yingna
Gui, Wenhao
MATHEMATICAL POPULATION STUDIES, 2024, 31 (01) : 1 - 39

← 1 2 3 4 5 →