Multivariate inverse trinomial distribution as a Lagrangian probability model

Kunio Shimizu, Nobuharu Nishii, Mihoko Minami

研究成果: Article査読

4 被引用数 (Scopus)

抄録

The univariate inverse trinomial distribution is so named because its cumulant generating function (c.g.f.) is the inverse of the c.g.f. of a trinomial distribution. The inverse trinomial distribution, which includes the inverse binomial and negative binomial distributions, is derivable from the Lagrangian expansion. The present paper pertains to the definition of the bivariate and multivariate inverse trinomial distributions through Lagrangian probability distributions. A multivariate inverse binomial distribution, generated by the method of reduction, converges to a multivariate inverse Gaussian distribution as a limiting form.

本文言語English
ページ(範囲)1585-1598
ページ数14
ジャーナルCommunications in Statistics - Theory and Methods
26
7
DOI
出版ステータスPublished - 1997 1月 1
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率

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