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One-sample Bayesian prediction intervals based on progressively type-II censored data from the half-logistic distribution under progressive stress model

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  • Essam AL-Hussaini
  • Alaa Abdel-Hamid
  • Atef Hashem

Abstract

Based on progressively type-II censored sample, we discuss Bayesian interval prediction under progressive stress accelerated life tests. The lifetime of a unit under use condition stress is assumed to follow the half-logistic distribution with a scale parameter satisfying the inverse power law. Prediction bounds of future order statistics are obtained. A simulation study is performed and numerical computations are carried out, based on two different progressive censoring schemes. The coverage probabilities and average interval lengths of the confidence intervals are computed via a Monte Carlo simulation. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Essam AL-Hussaini & Alaa Abdel-Hamid & Atef Hashem, 2015. "One-sample Bayesian prediction intervals based on progressively type-II censored data from the half-logistic distribution under progressive stress model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(7), pages 771-783, October.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:7:p:771-783
    DOI: 10.1007/s00184-014-0526-4
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    References listed on IDEAS

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    1. N. Balakrishnan, 2007. "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 211-259, August.
    2. 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.
    3. M. El-Din & A. Shafay, 2013. "One- and two-sample Bayesian prediction intervals based on progressively Type-II censored data," Statistical Papers, Springer, vol. 54(2), pages 287-307, May.
    4. Abdel-Hamid, Alaa H. & AL-Hussaini, Essam K., 2009. "Estimation in step-stress accelerated life tests for the exponentiated exponential distribution with type-I censoring," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1328-1338, February.
    5. Basak, Indrani & Basak, Prasanta & Balakrishnan, N., 2006. "On some predictors of times to failure of censored items in progressively censored samples," Computational Statistics & Data Analysis, Elsevier, vol. 50(5), pages 1313-1337, March.
    6. Raqab, Mohammad Z. & Asgharzadeh, A. & Valiollahi, R., 2010. "Prediction for Pareto distribution based on progressively Type-II censored samples," Computational Statistics & Data Analysis, Elsevier, vol. 54(7), pages 1732-1743, July.
    7. Alaa Abdel-Hamid & Essam AL-Hussaini, 2007. "Progressive stress accelerated life tests under finite mixture models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 66(2), pages 213-231, September.
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    Cited by:

    1. A. M. Abd El-Raheem & M. H. Abu-Moussa & Marwa M. Mohie El-Din & E. H. Hafez, 2020. "Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    2. Alaa H. Abdel-Hamid & Atef F. Hashem, 2021. "Inference for the Exponential Distribution under Generalized Progressively Hybrid Censored Data from Partially Accelerated Life Tests with a Time Transformation Function," Mathematics, MDPI, vol. 9(13), pages 1-28, June.
    3. Kotb, M.S. & Raqab, M.Z., 2019. "Statistical inference for modified Weibull distribution based on progressively type-II censored data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 233-248.
    4. Jeon, Young Eun & Kang, Suk-Bok, 2020. "Estimation for the half-logistic distribution based on multiply Type-II hybrid censoring," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    5. Atef F. Hashem & Salem A. Alyami & Alaa H. Abdel-Hamid, 2022. "Inference for a Progressive-Stress Model Based on Ordered Ranked Set Sampling under Type-II Censoring," Mathematics, MDPI, vol. 10(15), pages 1-23, August.
    6. Jiaxin Nie & Wenhao Gui, 2019. "Parameter Estimation of Lindley Distribution Based on Progressive Type-II Censored Competing Risks Data with Binomial Removals," Mathematics, MDPI, vol. 7(7), pages 1-15, July.

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