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Computation of optimum Type-II progressively hybrid censoring schemes using variable neighborhood search algorithm

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  • Ritwik Bhattacharya

    (Centro de Investigación en Matemáticas (CIMAT))

  • Biswabrata Pradhan

    (Indian Statistical Institute)

Abstract

Type-II progressively hybrid censoring scheme is a mixture of Type-II progressive censoring and Type-I censoring schemes. In this article, we first derive the expression of Fisher information matrix based on Type-II progressively hybrid censored data for multi-parameter distribution. We then propose a cost minimization-based optimality criterion to determine optimum Type-II progressively hybrid censoring schemes. Determination of optimum schemes through exhaustive search within the set of all admissible censoring schemes for large sample sizes is not feasible in practice. We propose a meta-heuristic algorithm based on variable neighborhood search approach for large sample sizes. A sensitivity analysis is also carried out in order to study the effect of mis-specification of parameter values or cost coefficients on the optimum solution. Finally, we also discuss A-, D- and T- optimum censoring schemes.

Suggested Citation

  • Ritwik Bhattacharya & Biswabrata Pradhan, 2017. "Computation of optimum Type-II progressively hybrid censoring schemes using variable neighborhood search algorithm," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(4), pages 802-821, December.
    • Handle: RePEc:spr:testjl:v:26:y:2017:i:4:d:10.1007_s11749-017-0534-6
    DOI: 10.1007/s11749-017-0534-6
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    References listed on IDEAS

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    1. Ping Chan & Hon Ng & Feng Su, 2015. "Exact likelihood inference for the two-parameter exponential distribution under Type-II progressively hybrid censoring," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(6), pages 747-770, August.
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    3. Bhattacharya, Ritwik & Pradhan, Biswabrata & Dewanji, Anup, 2015. "Computation of optimum reliability acceptance sampling plans in presence of hybrid censoring," Computational Statistics & Data Analysis, Elsevier, vol. 83(C), pages 91-100.
    4. N. Balakrishnan, 2007. "Rejoinder on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 290-296, August.
    5. Nader Ebrahimi, 1988. "Determining the sample size for a hybrid life test based on the cost function," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 63-72, February.
    6. Kundu, Debasis & Joarder, Avijit, 2006. "Analysis of Type-II progressively hybrid censored data," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2509-2528, June.
    7. Lin, Chien-Tai & Chou, Cheng-Chieh & Huang, Yen-Lung, 2012. "Inference for the Weibull distribution with progressive hybrid censoring," Computational Statistics & Data Analysis, Elsevier, vol. 56(3), pages 451-467.
    8. R. Bhattacharya & B. Pradhan & A. Dewanji, 2014. "Optimum life testing plans in presence of hybrid censoring: A cost function approach," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 30(5), pages 519-528, September.
    9. Biswabrata Pradhan & Debasis Kundu, 2009. "On progressively censored generalized exponential distribution," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(3), pages 497-515, November.
    10. Balakrishnan, N. & Burkschat, Marco & Cramer, Erhard & Hofmann, Glenn, 2008. "Fisher information based progressive censoring plans," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 366-380, December.
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    Cited by:

    1. Ritwik Bhattacharya, 2020. "Implementation of compound optimal design strategy in censored life-testing experiment," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(4), pages 1029-1050, December.
    2. Ritwik Bhattacharya & Baidya Nath Saha & Graceila González Farías & Narayanaswamy Balakrishnan, 2020. "Multi-criteria-based optimal life-testing plans under hybrid censoring scheme," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 430-453, June.

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