Cesàro α-Integrability and Laws of Large Numbers I

Journal of Theoretical Probability

Volumn 16, Issue 3, 2003, Pages 655-669

  Chandra, T K ^a   Goswami, A ^a,b  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b INDIANA UNIVERSITY   (United States)

Author keywords

mixing sequence; Pairwise independent; Uniform integrability

Indexed keywords

EID: 0043289810     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025620532404     Document Type: Article

References (7)

1. Billingsley, P. (1968). Convergence of Probability Measures, Wiley, New York.
2. Chandra, T. K. (1989). Uniform integrability in the Cesàro sense and the weak law of large numbers. Sankhya Ser. A 51, 309-317.
3. Chandra, T. K., and Goswami, A. (1992). Cesàro uniform integrability and the strong law of large numbers. Sankhya Ser. A 54, 215-231.
4. Chandra, T. K., and Goswami, A. (1993). Corrigendum: Cesàro uniform integrability and the strong law of large numbers. Sankhya Ser. A 55, 327-328.
5. Csörgö, S., Tandori, K., and Totik, V. (1983). On the strong law of large numbers for pairwise independent random variables. Acta Math. Hungarica 42, 319-330.
6. Landers, D., and Rogge, L. (1987). Laws of large numbers for pairwise independent uniformly integrable random variables. Math. Nachr. 130, 189-192.
7. Landers, D., and Rogge, L. (1997). Laws of large numbers for uncorrelated Cesàro uniformly integrable random variables. Sankhya Ser. A 59, 301-310.