Bounds for the t-Tail Area for Arbitrary Degrees of Freedom.

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Abstract:

The bounds of Birnbaum 1942 and Sampford 1953 for the upper tail area of the normal distribution are extended to the upper tail of the t-distribution for arbitrary real degrees of freedom. This generalizes the results of Soms 1977a for integral degrees of freedom. Numerical and theoretical comparisons are made with the bounds of Peizer and Pratt 1968, Wallace 1959 and Soms 1977b. Author

Author(s):
Soms, Andrew P.
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0015

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2105
Contract/Grant Number(s):
DAAG29-80-C-0041
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*STATISTICAL DISTRIBUTIONS, EXPERIMENTAL DATA, STOCHASTIC PROCESSES, STATISTICAL TESTS, BOUNDARIES, TABLES(DATA), NUMERICAL METHODS AND PROCEDURES, ASYMPTOTIC NORMALITY, NORMAL DISTRIBUTION, THEOREMS
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
T distribution, T test
Report Date:
1980 Aug 01