A note on convergence of weighted sums of random variables

Abstract

Under uniform integrability condition, some Weak Laws of large numbers are established for weighted sums of random variables generalizing results of Rohatgi, Pruitt and Khintchine. Some Strong Laws of Large Numbers are proved for weighted sums of pairwise independent random variables generalizing results of Jamison, Orey and Pruitt and Etemadi.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 1985
Source ID
10.1155/s0161171285000898

Entities

People

  • M. Bhaskara Rao
  • Xiang Chen Wang

Organizations

  • Air Force Office of Scientific Research
  • Jilin University
  • University of Pittsburgh

Tags

Fields of Study

  • Mathematics

Readers

  • Aerial Delivery - Logistics and Supply Chain Management.
  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.