Parameter estimation for the dirichlet-multinomial distribution using supplementary beta-binomial data |
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Authors: | Peter J Danaher |
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Institution: | Department of Statistics , University College , Dublin 4, Ireland |
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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. |
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Keywords: | Beta-binomial Dirichlet-mulnnomtai magazine exposure maximum likelihood estimation method of moments |
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