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Asymptotic bias in information estimates and the exponential (Bell) polynomials
1Department of Neurology and Neuroscience, Weill Medical College of Cornell University, New York City, New York 10021, USA.
Neural Computation
|December 9, 2000
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.