Journal Menu

Abstracting and Indexing
Aims and Scope
Article Processing Charges
Author Guidelines
Bibliographic Information
Contact Information
Editorial Board
Editorial Workflow
Reviewers Acknowledgment
Subscription Information

Abstract
Full-Text PDF

International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 8, Pages 1317-1320
doi:10.1155/IJMMS.2005.1317

On the LP-convergence for multidimensional arrays of random variables

Le Van Thanh

Department of Mathematics, Vinh University, Nghe An 42118, Vietnam

Abstract

For a d-dimensional array of random variables {Xn,n∈ℤ+d} such that {|Xn|p,n∈ℤ+d} is uniformly integrable for some 0<p<2, the Lp-convergence is established for the sums (1/|n|1/p) (∑j≺n(Xj−aj)), where aj=0 if 0<p<1, and aj=EXj if 1≤p<2.