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