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This paper derives new bounds on the difference of the entropies of two discrete random variables in terms of the local and total variation distances between their probability mass functions.
M. Abramowitz and A. I. Stegun,
1965
Earlier work this paper cites.
R. T. Rockafellar,
1970
Earlier work this paper cites.
S. C. Chung and J. Wolf, “On the
1981
Earlier work this paper cites.
I. Csiszár and J. Körner,
1981
Earlier work this paper cites.
S. Karlin and Y. Rinott, “Entropy inequalities for classes of probability distributions I: the univariate case,”
1981
Earlier work this paper cites.
L. A. Shepp and I. Olkin, “Entropy of the sum of independent Bernoulli random variables and the multinomial distribution,”
1981
Earlier work this paper cites.
A. D. Barbour and P. Hall, “On the rate of Poisson Convergence,”
1984
Earlier work this paper cites.
R. Arratia, L. Goldstein and L. Gordon, “Two moments suffice for Poisson approximations: The Chen-Stein method,”
1989
Earlier work this paper cites.
A. D. Barbour, L. Holst and S. Janson,
1992
Earlier work this paper cites.
I. S. Gradshteyn and I. M. Ryzhik,
1994
Earlier work this paper cites.
I. Csiszár, “Almost independence and secrecy capacity,”
1996
Earlier work this paper cites.
E. Peköz, “Stein’s method for geometric approximation,”
1996
Earlier work this paper cites.
F. Topsøe, “Some inequalities for information divergence and related measures of discrimination,”
2000
Earlier work this paper cites.
P. Harremoës, “Binomial and Poisson distributions as maximum entropy distributions,”
2001
Cited alongside, same era.
I. Kontoyiannis, P. Harremoës and O. Johnson, “Entropy and the law of small numbers,”
2005
Cited alongside, same era.
M. S. Pinsker, “On estimation of information via variation,”
2005
Cited alongside, same era.
T. M. Cover and J. A. Thomas,
2006
Cited alongside, same era.
P. Harremoës, “Information topologies with applications,”
2007
Cited alongside, same era.
V. V. Prelov, “On inequalities between mutual information and variation,”
2007
Cited alongside, same era.
S. M. Ross and E. A. Peköz,
F. Daly, “Stein’s method for compound geometric approximation,”
2010
Later among the works it cites.
R. M. Gray,
2010
Later among the works it cites.
S. W. Ho and R. W. Yeung, “The interplay between entropy and variational distance,”
2010
Later among the works it cites.
S. W. Ho and S. Verdú, “On the interplay between conditional entropy and error probability,”
2010
Later among the works it cites.
V. V. Prelov, “On computation of information via variation and inequalities for the entropy function,”
2010
Later among the works it cites.
K. Teerapabolarn and A. Boondirek, “Negative binomial approximation with Stein’s method and Stein’s identity,”
2010
Later among the works it cites.
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2007
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Z. Zhang, “Estimating mutual information via Kolmogorov distance,”
2007
Cited alongside, same era.
V. V. Prelov and E. C. van der Meulen, “Mutual information, variation, and Fano’s inequality,”
2008
Cited alongside, same era.
S. W. Ho and R. W. Yeung, “On the discontinuity of the Shannon information measures,”
2009
Cited alongside, same era.
V. V. Prelov, “Mutual information of several random variables and its estimation via variation,”
2009
Cited alongside, same era.
J. A. Adell, A. Lekouna and Y. Yu, “Sharp bounds on the entropy of the Poisson law and related quantities,”
2010
Cited alongside, same era.
N. Ross, “Fundamentals of Stein’s Method,”
2011
Later among the works it cites.
I. Sason, “On the entropy of sums of Bernoulli random variables via the Chen-Stein method,”
2012
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2013
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2013
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E. Peköz, A. Röllin and N. Ross, “Total variation error bounds for geometric approximation,”
2013
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