On the complete convergence for arrays of rowwise ψ-mixing random variables

Author:

Wu Yong-Feng,Ding Hui

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference23 articles.

1. Hsu PL, Robbins H: Complete convergence and the law of large numbers. Proc. Natl. Acad. Sci. USA 1947, 33: 25–31. 10.1073/pnas.33.2.25

2. Blum JR, Hanson DL, Koopmans LH: On the strong law of large numbers for a class of stochastic processes. Z. Wahrscheinlichkeitstheor. Verw. Geb. 1963, 2: 1–11. 10.1007/BF00535293

3. Dobrushin RL: The central limit theorem for non-stationary Markov chain. Theory Probab. Appl. 1956, 1: 72–88.

4. Ibragimov IA: Some limit theorems for stochastic processes stationary in the strict sense. Dokl. Akad. Nauk SSSR 1959, 125: 711–714.

5. Cogburn R Univ. Calif. Publ. Statist. 3. Asymptotic Properties of Stationary Sequences 1960, 99–146.

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