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Maximum likelihood estimators under progressive Type-I interval censoring

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  • Budhiraja, Sonal
  • Pradhan, Biswabrata
  • Sengupta, Debasis

Abstract

The consistency and asymptotic normality of the maximum likelihood estimators (MLEs), based on progressively type-I interval censored (PIC-I) data are proved under appropriate regularity conditions. The information obtained in the PIC-I setup is compared with that of grouped data and also with progressively type-I censored (PC-I) data.

Suggested Citation

  • Budhiraja, Sonal & Pradhan, Biswabrata & Sengupta, Debasis, 2017. "Maximum likelihood estimators under progressive Type-I interval censoring," Statistics & Probability Letters, Elsevier, vol. 123(C), pages 202-209.
    • Handle: RePEc:eee:stapro:v:123:y:2017:i:c:p:202-209
    DOI: 10.1016/j.spl.2016.12.013
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    References listed on IDEAS

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    1. Coskun Kus & Yunus Akdogan & Shuo-Jye Wu, 2013. "Optimal progressive group censoring scheme under cost considerations for pareto distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(11), pages 2437-2450, November.
    2. Chen, D.G. & Lio, Y.L., 2010. "Parameter estimations for generalized exponential distribution under progressive type-I interval censoring," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1581-1591, June.
    3. Shuo-Jye Wu & Chun-Tao Chang & Kang-Jun Liao & Syuan-Rong Huang, 2008. "Planning of progressive group-censoring life tests with cost considerations," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(11), pages 1293-1304.
    4. Shuo-Jye Wu & Syuan-Rong Huang, 2010. "Optimal progressive group-censoring plans for exponential distribution in presence of cost constraint," Statistical Papers, Springer, vol. 51(2), pages 431-443, June.
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    Cited by:

    1. Sonal Budhiraja & Biswabrata Pradhan, 2020. "Point and interval estimation under progressive type-I interval censoring with random removal," Statistical Papers, Springer, vol. 61(1), pages 445-477, February.
    2. Soumya Roy & Biswabrata Pradhan, 2023. "Inference for log‐location‐scale family of distributions under competing risks with progressive type‐I interval censored data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 77(2), pages 208-232, May.

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