NA随机变量列一类强大数律的充分必要条件
NA수궤변량렬일류강대수률적충분필요조건
On Sufficient and Necessary Condition of a Strong Law of Large Numbers for Negatively Associated Random Variables
  • 万方数据
    应用概率统计 응용개솔통계
    CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
    2008年 4期 399-406 ,共8页

    刘立新%程士宏

    류립신%정사굉

    NA随机变量%强大数律%概率不等式 NA隨機變量%彊大數律%概率不等式
    NA수궤변량%강대수률%개솔불등식
    Negatively associated random variables%strong law of the large numbers%prob-ability inequalities
    本文给出了具有不同分布NA随机变量列满足一类强大数律的充分必要条件,从而将Egorov对独立随机变量列建立的结果推广到NA随机变量情形;作为应用,我们还建立了一个新的强大数律.
    본문급출료구유불동분포NA수궤변량렬만족일류강대수률적충분필요조건,종이장Egorov대독립수궤변량렬건립적결과추엄도NA수궤변량정형;작위응용,아문환건립료일개신적강대수률.
    In this paper, we obtain the sufficient and necessary condition of a strong law of large numbers for negatively associated random variables with different distributions and finite variances,the Egorov's results for independent random variables are generalized to the case of negatively associated random variables. We also establish a new strong laws of large numbers for negatively associated random variables.
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