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
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
收藏
页码:1758 / 1767
页数:10
相关论文
共 50 条
  • [31] A Bayesian Shrinkage Approach for the Inverse Weibull Distribution under the Type-II Censoring Schemes
    Delavari, Mojtaba
    Khodadadi, Zahra
    Zare, Karim
    Deiri, Einolah
    Ziaei, Abdul Rasoul
    CONTEMPORARY MATHEMATICS, 2024, 5 (04): : 5743 - 5762
  • [32] Optimal confidence regions for the parameters of a general exponential class under Type-II progressive censoring
    Al-Jarallah, Reem A.
    Raqab, Mohammad Z.
    RAIRO-OPERATIONS RESEARCH, 2024, 58 (02) : 1233 - 1247
  • [33] A- and D-optimal progressive Type-II censoring designs based on Fisher information
    Dahmen, K.
    Burkschat, M.
    Cramer, E.
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2012, 82 (06) : 879 - 905
  • [34] Statistical inference of the exponentiated exponential distribution based on progressive type-II censoring with optimal scheme
    Kabdwal, Naresh Chandra
    Azhad, Qazi J.
    Hora, Rashi
    INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT, 2024, 15 (08) : 3833 - 3853
  • [35] OPTIMAL STEP-STRESS ACCELERATED LIFE TEST PLANS WITH PROGRESSIVE TYPE-II CENSORING
    Leu, Lii-Yuh
    Shen, Kuan-Fu
    ADVANCES AND APPLICATIONS IN STATISTICS, 2007, 7 (01) : 81 - 95
  • [36] An agent based modeling approach for determining optimal price-rebate schemes
    Khouja, Moutaz
    Hadzikadic, Mirsad
    Zaffar, Muhammad Adeel
    SIMULATION MODELLING PRACTICE AND THEORY, 2008, 16 (01) : 111 - 126
  • [37] On Optimal Progressive Censoring Schemes from Models with U-Shaped Hazard Rate: A Comparison between Conventional and Fuzzy Priors
    Feroze, Navid
    Noor-ul-Amin, Muhammad
    Sadiq, Maryam
    Hossain, Md. Moyazzem
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [38] Analysis of progressive Type-II censoring schemes for generalized power unit half-logistic geometric distribution
    El-Saeed, Ahmed R.
    Ramadan, AhmedT.
    Alsadat, Najwan
    Alohali, Hanan
    Tolba, Ahlam H.
    AIMS MATHEMATICS, 2023, 8 (12): : 30846 - 30874
  • [39] Estimation procedures and optimal censoring schemes for an improved adaptive progressively type-II censored Weibull distribution
    Nassar, Mazen
    Elshahhat, Ahmed
    JOURNAL OF APPLIED STATISTICS, 2024, 51 (09) : 1664 - 1688
  • [40] Prediction of censored exponential lifetimes in a simple step-stress model under progressive Type II censoring
    Basak, Indrani
    Balakrishnan, N.
    COMPUTATIONAL STATISTICS, 2017, 32 (04) : 1665 - 1687