Strong and weak convergence for asymptotically almost negatively associated random variables
Summary: The strong law of large numbers for sequences of asymptotically almost negatively associated (AANA) random variables is obtained, which generalizes and improves the corresponding one by \textit{Z. D. Bai} and \textit{P. E. Cheng} [Stat. Probab. Lett. 46, No. 2, 105--112 (2000; Zbl 0960.60026)] for independent and identically distributed random variables. In addition, the Feller-type weak law of large numbers for sequences of AANA random variables is obtained, which generalizes the corresponding one by \textit{W. Feller} [Am. J. Math. 68, 257--262 (1946; Zbl 0060.28704)] for independent and identically distributed random variables.
asymptotically almost negatively associated random variables
scientific article; zbMATH DE number 6175056