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Prediction for Pareto distribution based on progressively Type-II censored samples

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  • Raqab, Mohammad Z.
  • Asgharzadeh, A.
  • Valiollahi, R.

Abstract

In this paper, we discuss different predictors of times to failure of units censored in multiple stages in a progressively censored sample from Pareto distribution. The best linear unbiased predictors, maximum likelihood predictors and approximate maximum likelihood predictors are considered. We also present two methods for obtaining prediction intervals for the times to failure of units. A numerical simulation study involving two data sets is presented to illustrate the methods of prediction.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:csdana:v:54:y:2010:i:7:p:1732-1743
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. M. M. Mohie El-Din & A. R. Shafay & M. Nagy, 2018. "Statistical inference under adaptive progressive censoring scheme," Computational Statistics, Springer, vol. 33(1), pages 31-74, March.
    2. 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.
    3. Ahmed Soliman & N. Abou-elheggag & A. Abd ellah & A. Modhesh, 2012. "Bayesian and non-Bayesian inferences of the Burr-XII distribution for progressive first-failure censored data," METRON, Springer;Sapienza Università di Roma, vol. 70(1), pages 1-25, April.
    4. Refah Alotaibi & Ehab M. Almetwally & Indranil Ghosh & Hoda Rezk, 2022. "Classical and Bayesian Inference on Finite Mixture of Exponentiated Kumaraswamy Gompertz and Exponentiated Kumaraswamy Fréchet Distributions under Progressive Type II Censoring with Applications," Mathematics, MDPI, vol. 10(9), pages 1-23, April.
    5. Tian, Yuzhu & Zhu, Qianqian & Tian, Maozai, 2015. "Estimation for mixed exponential distributions under type-II progressively hybrid censored samples," Computational Statistics & Data Analysis, Elsevier, vol. 89(C), pages 85-96.
    6. 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.
    7. M. M. Mohie El-Din & M. Nagy & M. H. Abu-Moussa, 2019. "Estimation and Prediction for Gompertz Distribution Under the Generalized Progressive Hybrid Censored Data," Annals of Data Science, Springer, vol. 6(4), pages 673-705, December.
    8. Essam A. Ahmed, 2017. "Estimation and prediction for the generalized inverted exponential distribution based on progressively first-failure-censored data with application," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(9), pages 1576-1608, July.
    9. J. Ahmadi & B. Khatib Astaneh & M. Rezaie & S. Ameli, 2022. "Prediction of times to failure of censored units under generalized progressive hybrid censoring scheme," Computational Statistics, Springer, vol. 37(4), pages 2049-2086, September.
    10. Cramer, Erhard & Schmiedt, Anja Bettina, 2011. "Progressively Type-II censored competing risks data from Lomax distributions," Computational Statistics & Data Analysis, Elsevier, vol. 55(3), pages 1285-1303, March.
    11. 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.
    12. Xuehua Hu & Wenhao Gui, 2018. "Bayesian and Non-Bayesian Inference for the Generalized Pareto Distribution Based on Progressive Type II Censored Sample," Mathematics, MDPI, vol. 6(12), pages 1-26, December.
    13. Saadati Nik, A. & Asgharzadeh, A. & Raqab, Mohammad Z., 2021. "Estimation and prediction for a new Pareto-type distribution under progressive type-II censoring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 508-530.

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