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Bayes prediction based on right censored data

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Abstract

This paper is concerned with a Bayes prediction problem in the exponential distribution under random censorship. Using censored samples, we work out a prediction interval for a sum of interest which consists of some future samples. Differing from the general Bayes approach, we do not specify the prior distribution of the parameter, and only a first moment condition on the prior is assumed. Simulation studies are conducted to exhibit the coverage probabilities of the prediction interval.

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References

  • Al-Hussaini EK, Jaheen ZF (1995) Bayesian prediction bounds for the Burr type XII failure model. Commun Statist Theory Method 24:1829–1842

    Article  MATH  Google Scholar 

  • Al-Hussaini EK, Jaheen ZF (1996) Bayesian prediction bounds for the Burr type XII distribution in the presence of outliers. J Statist Plann Inference 55:23–37

    Article  MATH  MathSciNet  Google Scholar 

  • Berger JO (1985) Statistical decision theory and Bayesian analysis. Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  • Kaplan ET, Meier P (1958) Nonparametric estimation from incomplete observations. J Am Stat Assoc 53:457–481

    Article  MATH  MathSciNet  Google Scholar 

  • Ouyang LY, Wu SJ (1994) Prediction intervals for an ordered observation from a Pareto distribution. IEEE Trans Reliab 43:264–269

    Article  Google Scholar 

  • Press SJ (1989) Bayesian statistics: principles, models and applications. Wiley, New York

    MATH  Google Scholar 

  • Robbins H (1982) Estimating many variance. Stat Decis Theory Relat Topics III 2:218–226

    Google Scholar 

  • Robbins H (1983) Some thoughts on empirical Bayes estimation. Ann Stat 11:713–723

    Article  MATH  MathSciNet  Google Scholar 

  • Wang QH, Jing BY (2001) Empirical likelihood for a class of functionals of survival distribution with censored data. Ann Inst Stat Math 53:517–527

    Article  MATH  MathSciNet  Google Scholar 

  • Zhou M (1992) Asymptotic normality of the synthetic data regression estimation for censored survival data. Ann Stat 20:1002–1021

    Article  MATH  Google Scholar 

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Correspondence to Noël Veraverbeke.

Additional information

Financial support from the IAP research network (#P5/24) of the Belgian Government (Belgian Science Policy) is gratefully acknowledged.

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Wang, L., Veraverbeke, N. Bayes prediction based on right censored data. Stat Papers 50, 137–149 (2009). https://doi.org/10.1007/s00362-006-0044-1

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  • DOI: https://doi.org/10.1007/s00362-006-0044-1

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