BAYESIAN EsTIMl\TION FOR THE PROPORTIONS IN A ~'IXTURE OF DISTRIBUTIONS
نویسنده
چکیده
The joint density of a random sample from a mixture of two distributions is expressed as a binomial mixture of conditional densities. Then, the posterior distribution of the proportion, in a mixture of two known and distinct distributions, relative to a beta prior distribution is explored in detail and a conjugate family of prior distributions is introduced. The results are generalized 4It for estimating the proportions in a finite mixture of known distributions.
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