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【全文链接或数据库名称(选填)】A Bayesian Study of the Multinomial Distribution来自JSTOR收藏DA Bloch，GS Watson

摘要

Lindley [6] studies the topic in our title. By using Fisher's conditional-Poisson approach to the multinomial and the logarithmic transformation of gamma variables to normality, he showed that linear contrasts in the logarithms of the cell probabilities $\theta_i$ are asymptotically jointly normal and suggested that the approximation can be improved by applying a "correction" to the sample. By studying the asymptotic series for the joint distribution in Section 2 an improved correction procedure is found below. A more detailed expansion is given in Section 3 for the distribution of a single contrast in the $\log \theta_i$. In many problems a linear function of the $\theta_i$ is of interest. The exact distribution is obtained and is of a form familiar in the theory of serial correlation coefficients. A beta approximation is given. For three cells, a numerical example is given to show the merit of this approximation. A genetic linkage example is considered which requires the joint distribution of two linear functions of the $\theta_i$. The exact joint distribution is found but is too involved for practical use. A normal approximation leads to Lindley's results [7].

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出版源

《Annals of Mathematical Statistics》, 1967, 38(5):1423-1435

关键词

*STATISTICAL DISTRIBUTIONS / PROBABILITY / DISTRIBUTION THEORY.

The Bayesian Analysis of Contingency Tables
作者：DV Lindley
全文链接：Published by: Institute of Mathematical Statistics Stable URL: http://www.jstor.org/stable/2238298 Page Count: 22

giresse 发表于 2015-10-20 08:49

Thank you so much!

breaker_5433 发表于 2015-10-20 09:14
Thank you so much!

u r welcome!