On properties of the bayes estimates of the rayleigh mixture parameters: A simulation study

The lifetimes of the objects which age linearly with time are modeled by the rayleigh distribution. the life expectancy of such objects may be governed by a known number of causes of failure. a manufacturer may be interested in the proportion and expected life of the objects belonging to each subgroup of this mixture population based on an ordinary type i right censored mixture sample. to highlight and compare the properties of the bayes estimators assuming the uniform,the jeffreys and the square root inverted gamma priors,an extensive simulation study is conducted considering various sample sizes,different censoring rates and a number of combinations of the parameters of the mixture model. a real life illustration is also presented. © 2010 pakistan journal of statistics.