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Parameter estimation for the dirichlet-multinomial distribution using supplementary beta-binomial data
Authors:Peter J Danaher
Institution:Department of Statistics , University College , Dublin 4, Ireland
Abstract:We develop estimates for the parameters of the Dirichlet-multinomial distribution (DMD) when there is insufficient data to obtain maximum likelihood or method of moment estimates known in the literature. We do, however, have supplemetary beta-binomial data pertaining to the marginals of the DMD, and use these data when estimating the DMD parameters. A real situation and data set are given where our estimates are applicable.
Keywords:Beta-binomial  Dirichlet-mulnnomtai  magazine exposure  maximum likelihood estimation  method of moments
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