On record statistics from a mixture of two exponential distributions
This article is concerned with the problem of estimating the parameters of the finite mixture of two exponential distributions based on record statistics. The maximum likelihood and Bayes methods of estimation are used for this purpose. Bayes estimators for the parameters of the mixture model are, obtained by using the approximation form of Lindley (1980). The Bayes estimates are compared with their corresponding maximum likelihood estimates based on a Monic Carlo simulation study.
record statistics exponential distribution finite mixture bayes approximation monte carlo simulation