References
- Etemati, N.(1981) An elementary proof of the strong law of large numbers, Z. Wahrsch. Verw. Gebiete 55 119-122 https://doi.org/10.1007/BF01013465
- Gabriel, J-P.(1977) An inequality for sums of independent random variables indexed by finite dimensional filtering sets and applications to the convergence of series, Ann. Probab. 5 779-786 https://doi.org/10.1214/aop/1176995719
- Gut, A.(1978) Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices, Ann. Probab. 6 469-482 https://doi.org/10.1214/aop/1176995531
- Gut, A.(1980) Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices, Ann. Probab. 8 298-313 https://doi.org/10.1214/aop/1176994778
- Gut, A. and Spataru, A.(2003) Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables, J. Multi. Anal. 86 398-442 https://doi.org/10.1016/S0047-259X(03)00050-2
- Hardy, G.H. and E.M. Wright(1954) An Introduction to the Theory of Numbers, 3rd Edition, Oxford University Press, Oxford
- Joag-Dev, K. and F. Proschan(1983) Negative association of random variables with applications, Ann. Statist. 11 286-295 https://doi.org/10.1214/aos/1176346079
- Ko, M.H.(2011) On the complete convergence for negatively associated random fields, Taiwan J. Math. 15 171-179 https://doi.org/10.11650/twjm/1500406168
- Lehmann, E.L.(1966) Some concepts of dependence, Ann. Math. Statist. 37 1137-1153 https://doi.org/10.1214/aoms/1177699260
- Matula, P.(1992) A note on the almost sure convergence of sums of negatively dependent random variables, Statist. Probab. Lett. 15 209-213 https://doi.org/10.1016/0167-7152(92)90191-7
- Moore, C.N.(1966) Summable Series and Convergence Factors, Dover, New York
- Titchmarsh, E.C.(1951) The Theorey of the Rieman Zeta-Function, Oxford University Press, Oxford