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信息估计中的渐近偏差与指数(贝尔)多项式。

Asymptotic bias in information estimates and the exponential (Bell) polynomials.

作者信息

Victor J D

机构信息

Department of Neurology and Neuroscience, Weill Medical College of Cornell University, New York City, New York 10021, USA.

出版信息

Neural Comput. 2000 Dec;12(12):2797-804. doi: 10.1162/089976600300014728.

DOI:10.1162/089976600300014728
PMID:11112255
Abstract

We present a new derivation of the asymptotic correction for bias in the estimate of information from a finite sample. The new derivation reveals a relationship between information estimates and a sequence of polynomials with combinatorial significance, the exponential (Bell) polynomials, and helps to provide an understanding of the form and behavior of the asymptotic correction for bias.

摘要

我们给出了一种新的推导方法,用于对有限样本中信息估计的偏差进行渐近校正。新的推导揭示了信息估计与具有组合意义的多项式序列(指数(贝尔)多项式)之间的关系,并有助于理解偏差渐近校正的形式和行为。

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