References
- Billingsley, P. Convergence of Probability Measures, Wiley, New York (1968)
- Chandra, T. K. Uniform integrability in the Cesaaro sense and the weak law of large numbers, Sankhya Ser. A 51 (1989) 309-317
- Chandra, T. K. and Ghosal, S. Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables, Acta Math. Hungar. 71 (1996) 327-336 https://doi.org/10.1007/BF00114421
- Joag-Dev, K. and Proschan, F. Negative association of random variables with applications. Ann. Statist. 11 (1983) 286-295 https://doi.org/10.1214/aos/1176346079
- Landers, D. and Rogge, L. Laws of large numbers for pairwise independent uniformly inte-grable random variables, Math. Nachr. 130 (1987) 189-192 https://doi.org/10.1002/mana.19871300117
- Lehmann,E.L. Some concepts of dependence, Ann. Math. Statist. 37 (1966) 1137-1153. https://doi.org/10.1214/aoms/1177699260
- Matula, P. A note on the almost sure convergence of sums of negatively dependent random variables. Statist. Prob. Lett. 15 (1992) 209-213 https://doi.org/10.1016/0167-7152(92)90191-7
- Ordonez Cabrera, M. Convergence of weighted sums of random variables and uniform inte- grability concerning the weights, Collect. Math. 45 (1994) 121-132
- Ordonez Cabrera, M. and Volodin, A. I. Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integraility, J. Math. Anal. Appl. 305 (2005) 644-658 https://doi.org/10.1016/j.jmaa.2004.12.025