
Accession Number : AD0618787
Title : TOW PROBABILITY LIMIT THEOREMS AND AN APPLICATION,
Corporate Author : CARNEGIE INST OF TECH PITTSBURGH PA
Personal Author(s) : Rao,M. M.
Report Date : 1961
Pagination or Media Count : 9
Abstract : A necessary and sufficient condition that the limit distribution of a lognormal random variable be normal as the mean becomes large is presented. A similar result for the noncentral chisquare random variable is also included. A set of sufficient conditions, following some recent work of Trotter's, is given for the limit normality, without assuming moments, for a class of distributions depending on a continuous parameter that tends to infinity. Application of these results to some .ansformations in the analysis of variance when the mean values are large is indicated. (Author)
Descriptors : (*DISTRIBUTION THEORY, PROBABILITY), (*PROBABILITY, DISTRIBUTION THEORY), TRANSFORMATIONS(MATHEMATICS), ANALYSIS OF VARIANCE, STOCHASTIC PROCESSES, THEOREMS
Distribution Statement : APPROVED FOR PUBLIC RELEASE