Parameter estimation for the dirictlet-muldiomial distribution using supplementary beta-binomial data

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Abstract

We develop estimates for the parameters of the DirichleL-multinorniai 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.

Original languageEnglish
Pages (from-to)1777-1788
Number of pages12
JournalCommunications in Statistics - Theory and Methods
Volume17
Issue number6
DOIs
Publication statusPublished - 1 Jan 1988
Externally publishedYes

Keywords

  • beta-binomial
  • Dirichiet-multinomial
  • exposure
  • magazine
  • maximum likelihood estimation
  • method of moments

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