BAYESIAN ESTIMATION OF THE PARAMETER OF THE p-DIMENSIONAL SIZE-BIASED RAYLEIGH DISTRIBUTION

Arun Kumar Rao, Himanshu Pandey, Kusum Lata Singh

Abstract


In this paper, we have derived the probability density function of the size-biased p-dimensional Rayleigh distribution and studied its properties. Its suitability as a survival model has been discussed by obtaining its survival and hazard functions. We also discussed Bayesian estimation of the parameter of the size-biased p-dimensional Rayleigh distribution. Bayes estimators have been obtained by taking quasi-prior. The loss functions used are squared error and precautionary.

Keywords


Size-biased distribution, Bayes theorem, squared error loss function, precautionary loss function, quasi-prior.

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Lithuanian Journal of Statistics ISSN 1392-642X, eISSN 2029-7262
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