Bayesian Estimation of the Parameter of the p-Dimensional Size-Biased Rayleigh Distribution

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