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On generalized measures of entropy and dependence

โœ Scribed by Parmil Kumar; D. S. Hooda

Book ID
111492964
Publisher
SP Versita
Year
2008
Tongue
English
Weight
154 KB
Volume
58
Category
Article
ISSN
0139-9918

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โœฆ Synopsis

Various authors have studied extensions of Shannon's entropy but their inferential properties and applications in applied sciences have not invited proper attention from researchers. In the present paper we explore the motivation and implication of using various classes of the generalized entropies and conditional entropies. We evaluate ฮฒ-class and (ฮฑ, ฮฒ)-class entropies for multivariate normal density function. We also obtain the measures of dependence in terms of the classes of generalized entropies.

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Product probability property, known in the literature as statistical independence, is examined first. Then generalized entropies are introduced, all of which give generalizations to Shannon entropy. It is shown that the nature of the recursivity postulate automatically determines the logarithmic fun