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