Generalized Entropy of Order Statistics (original) (raw)

On Dynamic Cumulative Entropy of Order Statistics

Journal of Statistics Applications & Probability, 2013

We have proposed measures of cumulative entropy and dynamic cumulative entropy based on order statistics and derived a characterization result that dynamic cumulative entropy of the i th order statistics determines the distribution function uniquely. Some properties of the measures proposed have also been studied.

Quantile-Based Entropy of Order Statistics

Journal of the Indian Society for Probability and Statistics, 2016

The Quantile based entropy measure own a few precise properties than its distribution function technique. In this article, the idea of quantile based Bilal's and Baig's uncertainty measure is prolonged for order statistics for residual and past lifetimes and have a look at their properties, this two parametric entropy measure characterizes the distribution characteristic uniquely. A few characterization results of generalized residual entropy of order statistics and monotonicity property is likewise mentioned.

Tsallis' entropy bounds for generalized order statistics

Probability and Mathematical Statistics

We present sharp bounds for expectations of generalized order statistics with random indices expressed in terms of Tsallis' entropy. The bounds are attainable and provide new characterizations of some nontrivial distributions. No restrictions are imposed on the parameters of the generalized order statistics model.

Information Properties of Generalized Order Statistics and Renyie Information

European Online Journal of Natural and Social Sciences, 2015

Our aim at this paper is to investigate properties of Shannon and REnyie entropy, Kullback-Leibler (K-L) information and mutual information of generalized order statistics (GOS). We show that discrimination information and Renyie information between distribution of GOS and parent distribution, the discrimination information among the GOS and the mutual information between GOS are all distribution free. We also discuss Renyie information properties of GOS . Some bounds for K-L information is constructed.

Characterizations based on Rényi entropy of order statistics and record values

Journal of Statistical Planning and Inference, 2008

Two different distributions may have equal Rényi entropy; thus a distribution cannot be identified by its Rényi entropy. In this paper, we explore properties of the Rényi entropy of order statistics. Several characterizations are established based on the Rényi entropy of order statistics and record values. These include characterizations of a distribution on the basis of the differences between Rényi entropies of sequences of order statistics and the parent distribution.

Order statistics and (r,s)(r, s) (r,s)-entropy measures

1994

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Order Statistics Based Measure of Past Entropy

Mathematical Journal of Interdisciplinary Sciences, 2013

In this paper we have proposed a measure of past entropy based on order statistics. We have studied this measure for some specific lifetime distributions. A Characterization result for the proposed measure has also been discussed and also and an upper bound for this measure has been derived.