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This paper presents Bayes estimators and highest posterior density intervals for the Rayleigh parameter and its reliability based on the first r lifetimes in a group of n components under test. Based on the same censored data, Bayes predictive estimators and highest posterior density prediction intervals for a future observation as well as for the remaining (n-r) order statistics are derived. A numerical example is included.
Howlader et al. (Sun,) studied this question.