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Featured Speakers

机译:主讲嘉宾

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Traditionally, there has been close relations between statistics and probability theory. This is present in the work of Bernoulli, whose motivations to prove the strong law of large numbers were his thoughts about the consistency of statistical estimators. Also, much later, important developments in probability theory such as the asymptotic distribution of the Kolmogorov-Smirnov statistic or large deviation theory, which has partly been motivated by efficiency considerations in statistics, were triggered by questions in statistics. In the past decades, probability theory saw many important developments that have seemingly no relation with statistics, such as Schramm Loewner equations, spin glasses, and random media. As a consequence, there is no longer an equally intensive communication between the two communities. Based on a number of examples, I will argue that this is not ideal for either side. Being a probabilist and talking at a statistics meeting, the viewpoint will, of course, be biased.
机译:传统上,统计学和概率论之间一直存在着紧密的联系。这在伯努利的著作中是存在的,伯努利的动机是证明大数定律,这是他对统计估计量的一致性的想法。而且,很久以后,概率论的重要发展(例如Kolmogorov-Smirnov统计量的渐近分布或大偏差理论)部分是由统计问题引起的。在过去的几十年中,概率论看到了许多重要的发展,这些发展似乎与统计无关,例如Schramm Loewner方程,旋转玻璃和随机介质。结果,两个社区之间不再有同等密集的交流。基于许多示例,我将认为这对双方都不理想。作为概率论者并在统计会议上讲话,这种观点当然会产生偏见。

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    《AMSTAT news》 |2015年第455期|23-25|共3页
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  • 入库时间 2022-08-18 02:31:09

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