
Accession Number : AD0722386
Title : Some Local Limite Theorems for Lattice Random Variables,
Corporate Author : GEORGIA UNIV ATHENS DEPT OF STATISTICS
Personal Author(s) : Mason,J. David
Report Date : DEC 1969
Pagination or Media Count : 13
Abstract : Let (X sub n) be a sequence of independent integralvalued lattice random variables such that the distribution of (X sub n) is one of the distinct nondegenerate distributions H sub 1,..., H sub r (r=or>2). With the assumption that there are sequences (A sub n) and (B sub n) (0<(B sub n) approaches infinity) such that (Z sub n) is identically equal to ((B sub n) sup (1)) ((X sub 1)+...+ (X sub n))(A sub n) converges in law to a nondegenerate distribution, this paper investigates some conditions which are sufficient for (X sub n) to satisfy a local theorem in strengthened form. (Author)
Descriptors : (*RANDOM VARIABLES, THEOREMS), STATISTICAL DISTRIBUTIONS, SEQUENCES(MATHEMATICS), CONVERGENCE
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE