Simple inequalities for weighted entropies

A number of inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities.

[1]  Prasanna K. Sahoo,et al.  On the general solution of a functional equation connected to sum form information measures on open domain—III , 1986 .

[2]  G Frizelle,et al.  The measurement of complexity in production and other commercial systems , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[3]  R. P. Singh,et al.  On parametric weighted information improvement , 1992, Inf. Sci..

[4]  Mark Kelbert,et al.  Information Theory and Coding by Example , 2013 .

[5]  Adriana Clim,et al.  Weighted entropy with application , 2008 .

[6]  Krikamol Muandet,et al.  Query Selection via Weighted Entropy in Graph-Based Semi-supervised Classification , 2009, ACML.

[7]  Paul G. Hoel,et al.  Introduction to Probability Theory , 1972 .

[8]  H. C. Taneja,et al.  Characterization of the quantitative-qualitative measure of inaccuracy for discrete generalized probability distributions , 1986 .

[9]  Maria Longobardi,et al.  Entropy-based measure of uncertainty in past lifetime distributions , 2002, Journal of Applied Probability.

[10]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[11]  Jagat Narain Kapur,et al.  Measures of information and their applications , 1994 .

[12]  C. Geiss,et al.  An introduction to probability theory , 2008 .

[13]  Y. Suhov,et al.  An entropic measurement of queueing behaviour in a class of manufacturing operations , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[14]  Don H. Johnson,et al.  When does interval coding occur? , 2003, Neurocomputing.

[15]  Amir Dembo,et al.  Information theoretic inequalities , 1991, IEEE Trans. Inf. Theory.

[16]  T. Cover,et al.  Determinant inequalities via information theory , 1988 .