Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1029-242X-2013-558.pdf
Reference16 articles.
1. Landers D, Rogge L: Laws of large numbers for pairwise independent uniformly integrable random variables. Math. Nachr. 1987, 130: 189–192. 10.1002/mana.19871300117
2. Chandra TK: Uniform integrability in the Cesàro sense and the weak law of large numbers. Sankhya, Ser. A 1989, 51: 309–317.
3. Ordóñez Cabrera M: Convergence of weighted sums of random variables and uniform integrability concerning the weights. Collect. Math. 1994, 45(2):121–132.
4. Sung SH: Weak law of large numbers for arrays of random variables. Stat. Probab. Lett. 1999, 42(3):293–298. 10.1016/S0167-7152(98)00219-3
5. Chandra TK, Goswami A: Cesàro α -integrability and laws of large numbers I. J. Theor. Probab. 2003, 16(3):655–669. 10.1023/A:1025620532404
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