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The entropy of ordered sequences and order...
Journal article

The entropy of ordered sequences and order statistics

Abstract

The entropy of a sequence of random variables under order restrictions is examined. A theorem that shows the amount of entropy reduction when the sequence is ordered is presented. Upper and lower bounds to the entropy reduction and conditions under which they are achieved are derived. Some interesting properties of the entropy of the individual order statistics are also presented. It is shown that the difference between the average entropy of …

Authors

Wong KM; Chen S

Journal

IEEE Transactions on Information Theory, Vol. 36, No. 2, pp. 276–284

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Publication Date

March 1990

DOI

10.1109/18.52473

ISSN

0018-9448