Afendras, G., Papadatos, N., Papathanasiou, V., The discrete Mohr and Noll inequality with applications to variance bounds (2007) Sankhy?, 69 (2), pp. 162-189
Afendras, G., Papadatos, N., Papathanasiou, V., An extended Steintype covariance identity for the Pearson family with applications to lower variance bounds (2011) Bernoulli, 17 (2), pp. 507-529
Ball, K., Barthe, F., Naor, A., Entropy jumps in the presence of a spectral gap (2003) Duke Mathematical Journal, 119 (1), pp. 41-63. , DOI 10.1215/S0012-7094-03-11912-2
Barbour, A.D., Holst, L., Janson, S., (1992) Poisson Approximation Ser. Oxford Studies in Probability, 2. , New York, NY, USA: The Clarendon Press Oxford Univ. Press, Oxford Science Publications
Barbour, A.D., Johnson, O., Kontoyiannis, I., Madiman, M., Compound Poisson approximation via information functionals (2010) Electron. J. Probab., 15, pp. 1344-1368
Barron, A.R., Entropy and the central limit theorem (1986) Ann. Probab., 14 (1), pp. 336-342
Brown, L.D., A proof of the central limit theorem motivated by the Cramér-Rao inequality in Statistics and Probability: Essays in Honor of C. R. Rao. Amsterdam (1982) The Netherlands: North Holland, pp. 141-148
Carlen, E., Soffer, A., Entropy production by block variable summation and central limit theorems (1991) Commun. Math. Phys., 140 (2), pp. 339-371
Chen, L.H.Y., Goldstein, L., Shao, Q.-M., (2011) Normal Approximation by Stein's Method Ser. Probability and Its Applications, , Heidelberg, Germany: Springer
Cover, T., Thomas, J., (2006) Elements of Information Theory, , 2nd ed. New York, NY, USA: Wiley
Eichelsbacher, P., Reinert, G., Stein's method for discrete Gibbs measures (2008) Ann. Appl. Probab., 18, pp. 1588-1618
Erhardsson, T., Stein's method for Poisson and compound Poisson approximation (2005) An Introduction to Stein's Method, , Singapore: World Scientific
Fulman, J., Goldstein, L., Stein's Method and the Rank Distribution of Random Matrices over Finite Fields 2012 [Online], , Available: arXiv: 1211.0504
Gibbs, A.L., Su, F.E., On choosing and bounding probability metrics (2002) Int. Statist. Rev./Revue Int. de Statistique, 70 (3), pp. 419-435
Goldstein, L., Reinert, G., Stein's Method and the Beta Distribution 2012 [Online], , Available: arxiv: 1207.1460
Hillion, E., Johnson, O., Yu, Y., A Natural Derivative on and A Binomial Poincaré Inequality 2011 [Online], p. 0127. , Available: arXiv: 1107
Holmes, S., Stein's method for birth and death chains (2004) Stein's Method: Expository Lectures and Applications, Ser. IMS Lecture Notes Monogr, 46, pp. 45-67. , Ser.. Beachwood, OH, USA: Inst. Math. Statist
Johnson, O., (2004) Information Theory and the Central Limit Theorem, , London U.K.: Imperial College Press
Johnson, O., Barron, A., Fisher information inequalities and the central limit theorem (2004) Probability Theory and Related Fields, 129 (3), pp. 391-409. , DOI 10.1007/s00440-004-0344-0
Johnstone, I., Macgibbon, B., Une mesure d?information caractérisant la loi de Poisson (1987) Séminaire de Probabilités, 21, pp. 563-573. , Berlin, Germany: Springer
Kontoyiannis, I., Harremoes, P., Johnson, O., Entropy and the law of small numbers (2005) IEEE Transactions on Information Theory, 51 (2), pp. 466-472. , DOI 10.1109/TIT.2004.840861
Kullback, S., A lower bound for discrimination information in terms of variation (1967) IEEE Trans. Inf. Theory, IT-13 (1), pp. 126-127. , Jan
Ley, C., Swan, Y., Stein's density approach and information inequalities (2013) Electron. Commun. Probab., 18 (7), pp. 1-14
Nourdin, I., Peccati, G., (2012) Normal Approximations WithMalliavin Calculus: From Stein's Method to Universality, Ser. Cambridge Tracts in Mathematics, , Cambridge, U.K.: Cambridge Univ. Press
Nourdin, I., Peccati, G., Swan, Y., Entropy and the Fourth Moment Phenomenon 2013 [Online], , Available: arXiv: 1304.1255
Sason, I., Entropy Bounds for Discrete Random Variables Via Coupling 2012 [Online], , Available: arXiv: 1209.5259
Sason, I., An Information-Theoretic Perspective of the Poisson Approximation Via the Chen-Stein Method 2012 [Online], , Available: arXiv: 1206.6811
Sason, I., On the entropy of sums of Bernoulli random variables via the Chen-Stein method (2012) Proc. Inf. Theory Workshop, pp. 542-546
Sason, I., Improved Lower Bounds on the Total Variation Distance and Relative Entropy for the Poisson Approximation 2013 [Online], , Available: arXiv: 1301.7504
Schoutens, W., Orthogonal polynomials in Stein's method (2001) J. Math. Anal. Appl., 253 (2), pp. 515-531
Shimizu, R., On Fisher's amount of information for location family (1975) A Modern Course on Statistical Distributions in Scientific Work, pp. 305-312. , New York, NY, USA: Springer