[1] Alam K, Saxena K M L. Positive dependence in multivariate distributions. Comm Statist Theor Meth, 1981, 10A(12): 1183–1196
[2] Barlow R E, Proschan F. Statistical Theory of Reliability and Life Testing: Probability Models. Silver Spring: McArdle Press, 1981
[3] Billingsley P. Convergence of Probability Measure. New York: Wiley, 1968
[4] Chow Y S. On the rate of moment convergence of sample sums and extremes. Bull Inst Math Acad Sinica, 1988, 16(3): 177–201
[5] Cox J T, Grimmett G. Central limit theorems for associated random variables and the percolation model. Ann Probab, 1984, 12(2): 514–528
[6] Hsu P L, Robbins H. Complete convergence and the law of large numbers. Proc Nat Acad Sci USA, 1947, 33(2): 25–31
[7] Joag-Dev K, Proschan F. Negative association of random variables with applications. Ann Statist, 1983, 11(1): 286–295
[8] Liang H Y. Complete convergence for weighted sums of NA random variabls. Statist Probab Lett, 2000, 48(4): 317–325
[9] Liang H Y, Su C. Complete convergence for weighted sums of NA sequences. Statist Probab Lett, 1999, 45(1): 85–95
[10] Liu L X, Wu R. Inequality of maximal partial sum and the law of iterated logarithm for sequences of NA random variables. Acta Math Sinica, Chin Ser, 2002, 45(5): 969–978
[11] Matula P. A note on the almost sure convergence of sums of negatively dependent random variables. Statist
Probab Lett, 1992, 15(3): 209–213
[12] Newman C M. Asymptotic independent and limit theorems for positively and negatively dependent random
variables//Tong Y L. Inequalities in Statistics and Probability. IMS: Hayward, 1984: 127–140
[13] Petrov V V. Limit Theorems of Probability Theory: Sequences of Independent Random Variables. Oxford: Oxford Science Publications, 1995
[14] Roussas C G. Exponential probability inequalities with some applications//Ferguson T S, Shapley L S, MacQueen J B. Statistics, Probability and Game Theory. IMS: Hayward, 1996: 303–319
[15] Shao Q M. A comparison theorem on maximum inequalities between negatively associated sequences and
independent random variables. J Theor Probab, 2000, 13(2): 343–356
[16] Shao Q M, Su C. The law of the the iterated logarithm for NA random variables. Stochastic Process Appl, 1999, 83(1): 139–148
[17] Su C, Zhao L C, Wang Y B. Moment inequalities and weak convergence for negatively associated sequences.
Science in China, Ser A, 1996, 26(12): 1091–1099
[18] Zhang L X. The weak convergence for functions of negatively associated random variables. J Multiv Anal, 2001, 78(2): 272–298
[19] Zhang L X. Some limit results on the law of the iterated logarithm of NA sequences. Acta Math Sinica, Chin Ser, 2004, 47(3): 541–552
[20] Zhang L X, Wen J W. A weak convergence for negatively associated fields. Statist Probab Lett, 2001, 53(3): 259–267 |