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