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Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling

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  • Kotb Mohammed S.

    (Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt)

Abstract

We suggest a ranked set sample method to improve Bayesian prediction intervals. The paper deals with the Bayesian prediction intervals in the context of an ordered ranked set sample from a certain class of exponential-type distributions. A proper general prior density function is used and the predictive cumulative function is obtained in the two-sample case. The special case of linear exponential distributed observations is considered and completed with numerical results.

Suggested Citation

  • Kotb Mohammed S., 2016. "Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling," Stochastics and Quality Control, De Gruyter, vol. 31(1), pages 45-54, June.
    • Handle: RePEc:bpj:ecqcon:v:31:y:2016:i:1:p:45-54:n:6
    DOI: 10.1515/eqc-2016-0001
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    References listed on IDEAS

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    1. Lynne Stokes, 1995. "Parametric ranked set sampling," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(3), pages 465-482, September.
    2. Adatia, A., 2000. "Estimation of parameters of the half-logistic distribution using generalized ranked set sampling," Computational Statistics & Data Analysis, Elsevier, vol. 33(1), pages 1-13, March.
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