A note on convergence of weighted sums of random variables. (1985)

• Record Type: Journal Article
• Authors: Wang, Xiang Chen; Rao, M. Bhaskara
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 8:Number 4(1985)
• Page Start: 805
• Page End: 812
• Publication Date: 1985
• Subjects: independent and pairwise independent random variables -- weighted sums of random variables -- uniform integrability -- convergence in probability -- in mean -- strong convergence -- random elements in separable Banach spaces; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171285000898
• Languages: English
• ISSNs: 0161-1712

Abstract

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.