Generalized Symmetric Divergence Measures and Metric Spaces

Details Generalized Symmetric Divergence Measures and Metric Spaces Generalized Symmetric Divergence Measures and Metric Spaces

2011-05-13

arxiv.org/abs/1105.2707v1

Computer Science

Information Theory

Scientific paper

Recently, Taneja studied two one parameter generalizations of J-divergence, Jensen-Shannon divergence and Arithmetic-Geometric divergence. These two generalizations in particular contain measures like: Hellinger discrimination, symmetric chi-square divergence, and triangular discrimination. These measures are well known in the literature of Statistics and Information theory. In this paper our aim is to prove metric space properties for square root of these two symmetric generalized divergence measures.

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