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

Research output: Contribution to journalArticleResearchpeer-review

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

Cite this

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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.",
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journal = "Communications in Statistics: Theory and Methods",
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Parameter estimation for the dirictlet-muldiomial distribution using supplementary beta-binomial data. / Danaher, Peter J.

In: Communications in Statistics - Theory and Methods, Vol. 17, No. 6, 01.01.1988, p. 1777-1788.

Research output: Contribution to journalArticleResearchpeer-review

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AB - 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.

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KW - magazine

KW - maximum likelihood estimation

KW - method of moments

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