Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 1, Pages 1-9
Strong laws of large numbers for arrays of rowwise conditionally independent random elements
1Georgia State University, Department of Mathematics and Computer Science, Atlanta 30303, GA, USA
2Mashhad University, Department of Statistics, Mashhad, Iran
3University of Georgia, Department of Statistics, Athens 30602, GA, USA
Received 1 August 1992; Revised 1 January 1993
Copyright © 1993 Ronald Frank Patterson et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be an array of rowwise conditionally independent
random elements in a separable Banach space of type , .
Complete convergence of to , is obtained
by using various conditions on the moments and conditional means. A
Chung type strong law of large numbers is also obtained under suitable
moment conditions on the conditional means.