Limit theorems for delayed sums of random sequence
1 Department of Mathematics & Physics, HeFei University, HeFei 230601, P. R. China
2 Faculty of Mathematics & Physics, AnHui University of Technology, Ma'anshan 243002, P. R. China
Journal of Inequalities and Applications 2012, 2012:124 doi:10.1186/1029-242X-2012-124Published: 31 May 2012
For a sequence of arbitrarily dependent random variables (Xn)n∈N and Borel sets (Bn)n∈N, on real line the strong limit theorems, represented by inequalities, i.e. the strong deviation theorems of the delayed average are investigated by using the notion of asymptotic delayed log-likelihood ratio. The results obtained popularizes the methods proposed by Liu.
Mathematics Subject Classification 2000: Primary, 60F15.