Accession Number:

AD0618787

Title:

TOW PROBABILITY LIMIT THEOREMS AND AN APPLICATION,

Descriptive Note:

Corporate Author:

CARNEGIE INST OF TECH PITTSBURGH PA

Personal Author(s):

Report Date:

1961-01-01

Pagination or Media Count:

9.0

Abstract:

A necessary and sufficient condition that the limit distribution of a log-normal random variable be normal as the mean becomes large is presented. A similar result for the non-central chi-square random variable is also included. A set of sufficient conditions, following some recent work of Trotters, 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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE