Moment inequalities and weak convergence for negatively associated sequences
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Esary, J., Proschan, F., Walkup, D., Association of random variables with applications,Ann. Math. Statist., 1967, 38: 1466.
Joag-Dev, K., Proschan, F., Negative association of random variables with applications,Ann. Statist., 1983, 11: 286.
Block, H.W., Savits, T.H., Shaked, M., Some concepts of negative dependence,Ann. Probab., 1982, 10: 765.
Newman, C. L.. Asymptotic independence and limit theorems for positively and negatively dependent random variables, inlnequalities in Statistics and Probability (ed. Tong, Y.L.),IMS Lecture Notes-Monograph Series, Vol.5, 1984, 127–140.
Matula, P., A note on the almost sure convergence of sums of negatively dependent random variables,Statist. Probab. Lett., 1992. 15: 209.
Petrov, V.V.,Limit Theorems of Sums of Independent Random Variables (inRussian). Moscow: Nauka, 1987.
Su Chun, A theorem of Hsu-Robbins type for negatively associated sequence,Chinese Science.Bulletin, 1996, 41(6): 441.
Newman, C.M., Wright, A.L.. An invariance principle for ertain dependent sequences,Ann. Probab., 1981, 9: 671.
Stout, W.,Almost Sure Convergence, New York: Academic Press. 1974, 204–209.
Billingsley, P.,Convergence of Probability Measures, New York: John Wiley, 1968.