Using Square-Root Inverted Gamma Distribution as Prior to Draw Inference on the Rayleigh Distribution

Based on a complete failure time data, the maximum likelihood and Bayesian estimator under squared error and general entropy loss functions for the scale parameter and the reliability function of the Rayleigh distribution are derived. Assessments between the estimators are investigated through a simulation study. The results indicate that, Bayes estimator under the squared error loss function performs better than the others having obtained and compared the estimators using mean squared errors and absolute biases of the estimated values