Two sample Bayesian prediction intervals for order statistics based on the inverse exponential-type distributions using right censored sample |
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Authors: | MM Mohie El-Din Y Abdel-Aty AR Shafay |
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Affiliation: | 1. Department of Mathematics, Faculty of Science, Al-Azhar University, Egypt;2. Department of Mathematics, Faculty of Science, Fayoum University, Egypt |
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Abstract: | In this paper, two sample Bayesian prediction intervals for order statistics (OS) are obtained. This prediction is based on a certain class of the inverse exponential-type distributions using a right censored sample. A general class of prior density functions is used and the predictive cumulative function is obtained in the two samples case. The class of the inverse exponential-type distributions includes several important distributions such the inverse Weibull distribution, the inverse Burr distribution, the loglogistic distribution, the inverse Pareto distribution and the inverse paralogistic distribution. Special cases of the inverse Weibull model such as the inverse exponential model and the inverse Rayleigh model are considered. |
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