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 integral-valued lattice random variables such that the distribution of (X sub n) is one of the distinct non-degenerate 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 non-degenerate 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