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20052015
most citedRefinement of Inequalities among Means

21 citations · 138 across the 28 of their papers we have counts for

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math.ST2005★ 17 cited

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★ 13 cited

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★ 6 cited

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★ 3 cited

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★ 3 cited

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★ 17 cited

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…