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ON THE CONDITIONAL VERSION OFKOLMOGOROV'S THREE-SERIES THEOREM 被引量:1

ON THE CONDITIONAL VERSION OF KOLMOGOROV'S THREE-SERIES THEOREM
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摘要 This paper studies the conditional version of Kolmogorov’s three-series theorem, and gets a new extention form of the conditional version. The results here present us an answer to the question when (or where) the conditional version also provide necessary conditions for convergence in dependent cases. Furthermore, some new sufficient conditions are obtained. This paper studies the conditional version of Kolmogorov's three-series theorem, and gets a new extention form of the conditional version. The results here present us an answer to the question when (or where) the conditional version also provide necessary conditions for convergence in dependent cases. Furthermore, some new sufficient conditions are obtained.
作者 刘国欣
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第3期300-306,共7页 数学物理学报(B辑英文版)
关键词 Three-series THEOREM dependent r.v. ’s predictable local absolute CONTINUITY MARTINGALE Three-series theorem, dependent r.v. 's, predictable, local absolute continuity, martingale
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