Monotonieity Properties of Dirichlet Integrals With Applications to the Multinomial Distribution and the Anova Test: A Draft

Author(s):

Olkin, Ingram

Publication Year:

1972

Report Number:

RB-72-36

Source:

ETS Research Bulletin

Document Type:

Report

Page Count:

13

Subject/Key Words:

National Science Foundation (NSF), Analysis of Variance (ANOVA), Mathematical Models, Statistical Analysis

Abstract

Bounds for the tails of Dirichlet integrals are established by showing that each integral as a function of the limits is a Schur function. In particular, it is shown how these bounds apply to the simultaneous analysis of variance test and to the multinomial distribution. (Author) (13pp.)

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• http://dx.doi.org/10.1002/j.2333-8504.1972.tb00628.x