Ordering univariate distributions by entropy and variance

作者: Nader Ebrahimi , Esfandiar Maasoumi , Ehsan S. Soofi

DOI: 10.1016/S0304-4076(98)00046-3

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摘要: This paper examines the role of variance and entropy in ordering distributions and random prospects. There is no universal relation between entropy and variance orderings of …

参考文章(28)
P. J. Bickel, E. L. Lehmann, DESCRIPTIVE STATISTICS FOR NONPARAMETRIC MODELS IV. SPREAD Springer, Boston, MA. pp. 519- 526 ,(2012) , 10.1007/978-1-4614-1412-4_45
J. George Shanthikumar, Moshe Shaked, Stochastic orders and their applications ,(1994)
Ehsan S. Soofi, INFORMATION THEORETIC REGRESSION METHODS Emerald Group Publishing Limited. ,vol. 12, ,(1997) , 10.1108/S0731-9053(1997)0000012004
Arnold Zellner, Bayesian Method of Moments (BMOM) Analysis of Mean and Regression Models Modelling and Prediction Honoring Seymour Geisser. pp. 61- 72 ,(1996) , 10.1007/978-1-4612-2414-3_4
A.V. Lazo, P. Rathie, On the entropy of continuous probability distributions (Corresp.) IEEE Transactions on Information Theory. ,vol. 24, pp. 120- 122 ,(1978) , 10.1109/TIT.1978.1055832
A. B. Atkinson, F. Bourguignon, The Comparison of Multi-Dimensioned Distributions of Economic Status The Review of Economic Studies. ,vol. 49, pp. 183- 201 ,(1982) , 10.2307/2297269
Debabrata Mukher jee, Makarand Ratnaparkhi, On the functional relationship between entropy and variance with related applications Communications in Statistics-theory and Methods. ,vol. 15, pp. 291- 311 ,(1986) , 10.1080/03610928608829122
CE Shennon, Warren Weaver, A mathematical theory of communication Bell System Technical Journal. ,vol. 27, pp. 379- 423 ,(1948) , 10.1002/J.1538-7305.1948.TB01338.X
N.A. Ahmed, D.V. Gokhale, Entropy expressions and their estimators for multivariate distributions IEEE Transactions on Information Theory. ,vol. 35, pp. 688- 692 ,(1989) , 10.1109/18.30996
Ingram Olkin, Barry C. Arnold, Albert W. Marshall, Inequalities: Theory of Majorization and Its Applications ,(2011)