On the Strong Law of Large Numbers and Related Results for Quasi-Stationary Sequences.
Abstract
Under second moment assumptions and weak dependence conditions on a sequence of random variables < X sub 1 >, Gaposkin (1975) has established almost sure convergence of the series sum from 1 to infinity of lambda sub k X sub k under certain restrictions on the rate of convergence to 0 of the constants < C sub k >. Similarly, Moricz (1977) has established conditions for the almost sure convergence to 0 of the sequence (lambda sub n)(sum from 1 to n of X sub k). In the present paper, some extensions of these results are obtained.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1977
- Accession Number
- ADA052313
Entities
People
- Robert Serfling
Organizations
- Florida State University