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

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Abstract:

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

Author(s):
Olkin, Ingram
Author Organization(s):
STANFORD UNIV CALIF DEPT OF STATISTICS
Descriptive Note:
Technical rept.,
Pagination:
0017

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-139
Contract/Grant Number(s):
N00014-67-A-0112-0052
Project Number(s):
NR-042-002
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*INTEGRALS, THEOREMS), (*STATISTICAL DISTRIBUTIONS, INTEGRALS), ANALYSIS OF VARIANCE, DISTRIBUTION FUNCTIONS, INEQUALITIES, STATISTICAL TESTS
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
DIRICHLET INTEGRAL
Report Date:
1971 Aug 23