On generalized measures of entropy and dependence

Abstract

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 β -class and (α β)-class entropies for multivariate normal density function. We also obtain the measures of dependence in terms of the classes of generalized entropies. © Versita 2008.