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We conduct an axiomatic study of the problem of estimating the strength of a known causal relationship between a pair of variables.
A mathematical theory of communication
C.E. Shannon · 1948
Earlier work this paper cites.
On measures of dependence
Alfréd Rényi · 1959
Earlier work this paper cites.
An algorithm for computing the capacity of arbitrary discrete memoryless channels
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Computation of channel capacity and rate-distortion functions
Richard E Blahut · 1972
Earlier work this paper cites.
The consistency of automatic kernel density estimates
Luc Devroye and Clark S Penrod · 1984
Earlier work this paper cites.
Sample estimate of the entropy of a random vector
LF Kozachenko and Nikolai N Leonenko · 1987
Earlier work this paper cites.
On estimation of entropy and mutual information of continuous distributions
Rudy Moddemeijer · 1989
Earlier work this paper cites.
A reliable data-based bandwidth selection method for kernel density estimation
Simon J Sheather and Michael C Jones · 1991
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Root-n consistent estimators of entropy for densities with unbounded support
Alexandre B Tsybakov and EC Van der Meulen · 1996
Earlier work this paper cites.
Nonparametric entropy estimation: An overview
Jan Beirlant, Edward J Dudewicz, László Györfi, and Edward C Van der Meulen · 1997
Earlier work this paper cites.
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Earlier work this paper cites.
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