most citedRefinement of Inequalities among Means

21 citations · 55 across the 4 of their papers we have counts for

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math.ST2005

On a Difference of Jensen Inequality and its Applications to Mean Divergence Measures

Inder Jeet Taneja

In this paper we have considered a difference of Jensen's inequality for convex functions and proved some of its properties. In particular, we have obtained results for Csiszár \ci…

math.ST2005

Generalized Symmetric Divergence Measures and Inequalities

Inder Jeet Taneja

There are three classical divergence measures known in the literature on information theory and statistics. These are namely, Jeffryes-Kullback-Leiber \cite{jef} \cite{kul} \textit…

math.ST2005

Generalized Non-Symmetric Divergence Measures and Inequalities

Inder Jeet Taneja, Pranesh Kumar

In this paper we consider one parameter generalizations of some non - symmetric divergence measures. Measures are \textit{relative information}, \textit{divergence}, \texti…

math.ST2005

On Unified Generalizations of Relative Jensen--Shannon and Arithmetic--Geometric Divergence Measures, and Their Properties

Pranesh Kumar, Inder Jeet Taneja

In this paper we shall consider one parametric generalization of some non-symmetric divergence measures. The \textit{non-symmetric divergence measures} are such as: Kullback-Leible…

math.ST2005

Generalized Arithmetic and Geometric Mean Divergence Measure and their Statistical Aspects

Inder Jeet Taneja

Using Blackwell's definition of comparing two experiments, a comparison is made with \textit{generalized AG - divergence} measure having one and two scalar parameters. Connection o…

math.ST2005

On Mean Divergence Measures

Inder Jeet Taneja

Arithmetic, geometric and harmonic means are the three classical means famous in the literature. Another mean such as square-root mean is also known. In this paper, we have constru…