NA序列部分和之和乘积的极限定理

Abstract

Abstract: Let {X_nn, n≥1} be a strictly stationary negatively associated (NA) sequence of positive random variables with EX₁=μ>0, and
Var X₁=σ²<∞. Firstly, by using the central strong limit theorems and moment inequalities of weighted sums of NA sequence,
where N is a standard normal random variable. Secondly, we give a general result of precise asymptotics in complete convergence for products of sums of partial sums of NA sequence for the boundary function and quasi weight function.

Key words: NA sequence, product of sums of partial sums, asymptotic distribution, precise asymptotics

CLC Number:

LI Xuefeng, LU Dongmei. Limit Theorems of Products of Sums of Partial Sums of NA Sequence[J].Journal of Jilin University Science Edition, 2022, 60(4): 873-880.

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Limit Theorems of Products of Sums of Partial Sums of NA Sequence

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