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Monotonicity Properties of Dirichlet Integrals with Applications to the Multinomial Distribution and the Anova Test

机译：Dirichlet积分的单调性及其在多项式分布和anova检验中的应用

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The paper is concerned with establishing bounds for certain Dirichlet integrals. These integrals have importance in tail probabilities for the multinomial distribution, and the simultaneous analysis of variance F-distribution are special cases of this integral. (Author)

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作者
Olkin, I.;
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年度 1971
页码 p.1-17
总页数 17
原文格式 PDF
正文语种 eng
中图分类
关键词
Integrals ; Statistical distributions ; Theorems ; Analysis of variance ; Distribution functions ; Inequalities ; Statistical tests;

机译：积分;统计分布;定理;方差分析;分布函数;不等式;统计检验;

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1. Approximation of laws of multinomial parameters by mixtures of Dirichlet distributions with applications to Bayesian inference [J] . Regazzini E., Sazonov VV. Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 1999,第1a3期

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2. Monotonicity of certain integrals involving gamma distributions and their applications in multiple comparisons [J] . Neeraj Misra, Mohd. Arshad Statistics & Probability Letters . 2014,第Null期

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7. 6 Monotonicity and unbiasedness properties of ANOVA and MANOVA tests [O] . Somesh Das Gupta 1980

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8. Parameter Estimation for the Dirichlet-Multinomial Distribution Using Supplementary Beta-Binomial Data [R] . Danaher, P. J. 1987

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Monotonicity Properties of Dirichlet Integrals with Applications to the Multinomial Distribution and the Anova Test

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