References
- B. D. Choi and S. H. Sung, Almost sure convergence theorems of weighted sums of random variables, Stochastic Anal. Appl. 5 (1987), no. 4, 365-377 https://doi.org/10.1080/07362998708809124
- N. Ebrahimi and M. Ghosh, Multivariate negative dependence, Comm. Statist. A-Theory Methods 10 (1981), no. 4, 307-337 https://doi.org/10.1080/03610928108828041
- K. Joag-Dev and F. Proschan, Negative association of random variables with applications, Ann. Statist. 11 (1983), no. 1, 286-295 https://doi.org/10.1214/aos/1176346079
- T. S. Kim, M. H. Ko, and I. H. Lee, On the strong law for asymptotically almost negatively associated random variables, Rocky Mountain J. Math. 34 (2004), no. 3, 979-989 https://doi.org/10.1216/rmjm/1181069838
- M. H. Ko and T. S. Kim, Almost sure convergence for weighted sums of negatively orthant dependent random variables, J. Korean Math. Soc. 42 (2005), no. 5, 949- 957 https://doi.org/10.4134/JKMS.2005.42.5.949
- E. L. Lehmann, Some concepts of dependence, Ann. Math. Statist. 37 (1966), 1137-1153 https://doi.org/10.1214/aoms/1177699260
- P. Matula, A note on the almost sure convergence of sums of negatively dependent random variables, Stat. Probab. Lett. 15 (1992), no. 3, 209-213 https://doi.org/10.1016/0167-7152(92)90191-7
- R. L. Taylor, R.F Patteson, and A. Bozorgnia, A strong law of large numbers for arrays of rowwise negatively dependent random variables, Stochastic Anal. Appl. 20 (2002), no. 3, 643-656 https://doi.org/10.1081/SAP-120004118
- H. Teicher, Generalized exponential bounds, iterated logarithm and strong laws, Z. Warhsch. Verw. Gebiete 48 (1979), no. 3, 293-307 https://doi.org/10.1007/BF00537526
- Y. Qi, Limit theorems for sums and maxima of pairwise negative quadrant de- pendent random variables, Systems Sci. Math. Sci. 8 (1995), no. 3, 249-253
Cited by
- Some Limit Theorems for Weighted Sums of Arrays of Nod Random Variables vol.32, pp.6, 2012, https://doi.org/10.1016/S0252-9602(12)60187-8
- Strong convergence for weighted sums of ρ*-mixing random variables vol.49, pp.1, 2014, https://doi.org/10.3336/gm.49.1.15
- Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables vol.2014, 2014, https://doi.org/10.1155/2014/478612
- On limiting behavior for arrays of rowwise negatively orthant dependent random variables vol.42, pp.1, 2013, https://doi.org/10.1016/j.jkss.2012.05.001
- Limiting behaviour for arrays of row-wise END random variables under conditions ofh-integrability vol.87, pp.3, 2015, https://doi.org/10.1080/17442508.2014.959951
- STRONG LIMIT THEOREMS FOR WEIGHTED SUMS OF NOD SEQUENCE AND EXPONENTIAL INEQUALITIES vol.48, pp.5, 2011, https://doi.org/10.4134/BKMS.2011.48.5.923
- Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables vol.2012, 2012, https://doi.org/10.1155/2012/425969
- CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES vol.49, pp.6, 2012, https://doi.org/10.4134/JKMS.2012.49.6.1097
- An exponential inequality for a NOD sequence and a strong law of large numbers vol.24, pp.2, 2011, https://doi.org/10.1016/j.aml.2010.09.007
- Convergence properties of partial sums for arrays of rowwise negatively orthant dependent random variables vol.39, pp.2, 2010, https://doi.org/10.1016/j.jkss.2009.05.003
- Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications vol.45, pp.11, 2016, https://doi.org/10.1080/03610926.2014.901365
- Complete moment convergence for maximal partial sums under NOD setup vol.2015, pp.1, 2015, https://doi.org/10.1186/s13660-015-0577-8
- Complete convergence for negatively orthant dependent random variables vol.2014, pp.1, 2014, https://doi.org/10.1186/1029-242X-2014-145