Accession Number : AD0755468

Title :   Regularly Varying Sequences.

Descriptive Note : Technical rept.,

Corporate Author : PRINCETON UNIV N J DEPT OF STATISTICS

Personal Author(s) : Seneta,E. ; Galambos,J.

Report Date : JAN 1973

Pagination or Media Count : 16

Abstract : A simple necessary and sufficient condition is developed for a sequence (theta(n)) , n = 0,1,2,.... of positive terms, to satisfy theta(n) = R(n), n > or = 0 , where R(.) is a regularly varying function on (0, infinity). The condition given in the report leads to a Karamata-type exponential representation for theta(n). Various associated difficulties are also discussed. The results are of relevance in connection with limit theorems in various branches of probability theory. (Author)

Descriptors :   (*SEQUENCES(MATHEMATICS), FUNCTIONS(MATHEMATICS)), CONVERGENCE, MEASURE THEORY, SET THEORY, PROBABILITY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE