A discrete complement of Lyapunov’s inequality and its information theoretic consequences
Author:
Affiliation:
1. Probabilidad y Estadística, Centro de Investigación en Matemáticas
2. Facultad de Ingeniería Mecánica y Eléctrica, Universidad Autónoma de Nuevo León
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference54 articles.
1. Marshall, A. W., Olkin, I. and Arnold, B. C. (2011). Inequalities: Theory of Majorization and Its Applications, 2nd ed. Springer Series in Statistics. Springer, New York.
2. SCHNEIDER, R. (2014). Convex Bodies: The Brunn–Minkowski Theory, expanded ed. Encyclopedia of Mathematics and Its Applications 151. Cambridge Univ. Press, Cambridge.
3. PITMAN, J. (1997). Probabilistic bounds on the coefficients of polynomials with only real zeros. J. Combin. Theory Ser. A 77 279–303.
4. NAZAROV, F. L. and PODKORYTOV, A. N. (2000). Ball, Haagerup, and distribution functions. In Complex Analysis, Operators, and Related Topics. Oper. Theory Adv. Appl. 113 247–267. Birkhäuser, Basel.
5. DARROCH, J. N. (1964). On the distribution of the number of successes in independent trials. Ann. Math. Stat. 35 1317–1321.
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