Accession Number : AD0715084

Title :   On A Characterization of the Normal Distribution and Its Application to a Goodness-Of-Fit Problem.

Descriptive Note : Technical rept.,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Seshadri,V.

Report Date : 02 JUN 1970

Pagination or Media Count : 10

Abstract : Goodness-of-fit problems arising in practice often involve nuisance parameters and hence make the hypotheses composite. Exact tests for such problems are hard to come by. A method is proposed in this paper whereby an exact test for normality when both the location and scale parameter are unknown, is possible by eliminating the parameters in a very natural way. A theorem involving a characterization of the normal distribution is stated and proved and its application to a goodness-of-fit study is mentioned. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, THEOREMS), MAPPING(TRANSFORMATIONS), MEASURE THEORY, STATISTICAL TESTS, MATRICES(MATHEMATICS)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE