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(Neural Computation. 2000;12:2797-2804.)
© 2000 The MIT Press

Note

Asymptotic Bias in Information Estimates and the Exponential (Bell) Polynomials

Jonathan D. Victor

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

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.




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