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2007•American Journal of Mathematical and Management SciencesRequires access

A Note on Prediction Interval for a Rayleigh Distribution: Bayesian Approach

Sanku Dey, Mrityunjoy Das

Open publisher page 33 citations

Abstract

SYNOPTIC ABSTRACTLife testing components, or products having one-parameter Rayleigh distribution which age with time, are considered. Using the natural conjugate family of priors, we derive the posterior distribution, and hence the predictive distribution of the future observations. The Bayesian predictive interval is compared with classical counterparts. A numerical example is given.

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SYNOPTIC ABSTRACTLife testing components, or products having one-parameter Rayleigh distribution which age with time, are considered. Using the natural conjugate family of priors, we derive the posterior distribution, and hence the predictive distribution of the future observations. The Bayesian predictive interval is compared with classical counterparts. A numerical example is given.

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Available abstract

SYNOPTIC ABSTRACTLife testing components, or products having one-parameter Rayleigh distribution which age with time, are considered. Using the natural conjugate family of priors, we derive the posterior distribution, and hence the predictive distribution of the future observations. The Bayesian predictive interval is compared with classical counterparts. A numerical example is given.

Key concepts: Prior probability, Posterior predictive distribution, Conjugate prior, Bayesian probability, Posterior probability, Interval (graph theory), Mathematics, Rayleigh distribution

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