Accession Number : AD0750723

Title :   A Probabilistic Proof of the Normal Convergence Criterion.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Root,David ; Rubin,H.

Report Date : OCT 1972

Pagination or Media Count : 11

Abstract : By embedding partial sum processes into Brownian motion, it is well known that the deMoivre-Laplace central limit theorem is a consequence of the strong law of large numbers. It is the purpose here to show that the embedding technique can be used to establish both the degenerate convergence criterion and the normal convergence criterion for triangular arrays of uniformly asymptotically negligible random variables. (Author)

Descriptors :   (*BROWNIAN MOTION, STATISTICAL ANALYSIS), RANDOM VARIABLES, INEQUALITIES, MEASURE THEORY, THEOREMS, CONVERGENCE

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE