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  • 天元讲堂(1.5)How rich is a probability space with finite samples?
  • 浏览量:393 发布人:佚名 发布时间:2018-01-03 10:30:20


  • 报告人: 谢践生(复旦大学)
    报告时间: 2018年1月5日上午9:30-10:15
    地点: 数学楼二楼报告厅

    报告摘要:In probability theory, a space is called rich if it can admit sufficiently many (in general, infinitely many) (non-trivial) independent variables. But a probability space with finite samples can only admit a finite number of (non-trivial) independent variables. And it is interesting to find out the exact value of such maximum number for such spaces. It turns out to be a difficult problem with some sense of number theoretic taste. The answer is clear for two kinds of models (to be presented in this talk): one is the well known equi-probability models, and the other may be called the equi-ratio models. More discussions are undergoing (with collaborators and others).
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