Authors: Paul J Mostert, A Bekker & JJJ Roux
The compound Rayleigh distribution, with its unimodal hazard function, makes it attractive for modeling lifetimes of patients with characteristics of random hazard rate. The Bayes estimators for some lifetime parameters, as well as the parameters of the compound Rayleigh model, are derived for a right censored sample.
The estimators for these parameters are obtained, using the squared error loss function and Varian's linear-exponential (LINEX) loss function. A few well-known non- informative priors are considered for the parameters of the model. Simulation study is carried out to assess the performance of the estimators under these loss functions as well as under the segmented loss functions.
Keywords: Bayes estimators, compound Rayleigh distribution, lifetime parameters, linex loss function, mean survival time, Rayleigh distribution, right censored sample, squared error loss function, segmeted loss function.