aswathy krishnan - Academia.edu (original) (raw)

Papers by aswathy krishnan

Statistica, 2020

Extropy is a recent addition to the family of information measures as a complementary dual of Sha... more Extropy is a recent addition to the family of information measures as a complementary dual of Shannon entropy, to measure the uncertainty contained in a probability distribution of a random variable. A probability distribution can be specified either in terms of the distribution function or by the quantile function. In many applied works, there do not have any tractable distribution function but the quantile function exists, where a study on the quantile-based extropy are of importance. The present paper thus focuses on deriving some properties of extropy and its related measures using quantile function. Some ordering relations of quantile-based residual extropy are presented. We also introduce the quantile-based extropy of order statistics and cumulative extropy and studied its properties. Some applications of empirical estimation of quantile-based extropy using simulation and real data analysis are investigated.

Journal of the Korean Statistical Society, 2020

In the present paper, we study the residual extropy using distribution function and quantile func... more In the present paper, we study the residual extropy using distribution function and quantile function approaches. We also investigate extropy in past lifetime in both approaches. Some characterizations and ageing properties of these extropy measures are proposed. Different stochastic orders based on the residual and past lifetime extropy are also presented.

Physica A: Statistical Mechanics and its Applications, 2018

Highlights (to review)  We have proposed a quantile-based cumulative residual Tsallis entropy (C... more Highlights (to review)  We have proposed a quantile-based cumulative residual Tsallis entropy (CRTE) and quantile-based CRTE for order statistics. It is shown that unlike the distribution function approach, these quantile-based measures uniquely determine the distribution function through an explicit relationship.  We have illustrated the usefulness of these measures in the quantile set up and in situations where there is no tractable distribution function available.  We have obtained some characterizations for distributions using the quantile versions of CRTE and its order statistics and derived certain bounds.

Metrika, 2018

Measure of uncertainty in past lifetime plays an important role in different areas such as inform... more Measure of uncertainty in past lifetime plays an important role in different areas such as information theory, reliability theory, survival analysis, economics, business, forensic science and other related fields. In this paper, we propose a cumulative Tsallis entropy in past lifetime based on quantile function. We obtain different characterizations based on the proposed measure and quantile-based reliability measures. We also study the quantile-based cumulative Tsallis entropy of order statistics in past lifetime.

Journal of the Indian Society for Probability and Statistics, 2016

The Quantile based entropy measure own a few precise properties than its distribution function te... more 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.

Statistica, 2020

Extropy is a recent addition to the family of information measures as a complementary dual of Sha... more Extropy is a recent addition to the family of information measures as a complementary dual of Shannon entropy, to measure the uncertainty contained in a probability distribution of a random variable. A probability distribution can be specified either in terms of the distribution function or by the quantile function. In many applied works, there do not have any tractable distribution function but the quantile function exists, where a study on the quantile-based extropy are of importance. The present paper thus focuses on deriving some properties of extropy and its related measures using quantile function. Some ordering relations of quantile-based residual extropy are presented. We also introduce the quantile-based extropy of order statistics and cumulative extropy and studied its properties. Some applications of empirical estimation of quantile-based extropy using simulation and real data analysis are investigated.

Journal of the Korean Statistical Society, 2020

In the present paper, we study the residual extropy using distribution function and quantile func... more In the present paper, we study the residual extropy using distribution function and quantile function approaches. We also investigate extropy in past lifetime in both approaches. Some characterizations and ageing properties of these extropy measures are proposed. Different stochastic orders based on the residual and past lifetime extropy are also presented.

Physica A: Statistical Mechanics and its Applications, 2018

Highlights (to review)  We have proposed a quantile-based cumulative residual Tsallis entropy (C... more Highlights (to review)  We have proposed a quantile-based cumulative residual Tsallis entropy (CRTE) and quantile-based CRTE for order statistics. It is shown that unlike the distribution function approach, these quantile-based measures uniquely determine the distribution function through an explicit relationship.  We have illustrated the usefulness of these measures in the quantile set up and in situations where there is no tractable distribution function available.  We have obtained some characterizations for distributions using the quantile versions of CRTE and its order statistics and derived certain bounds.

Metrika, 2018

Measure of uncertainty in past lifetime plays an important role in different areas such as inform... more Measure of uncertainty in past lifetime plays an important role in different areas such as information theory, reliability theory, survival analysis, economics, business, forensic science and other related fields. In this paper, we propose a cumulative Tsallis entropy in past lifetime based on quantile function. We obtain different characterizations based on the proposed measure and quantile-based reliability measures. We also study the quantile-based cumulative Tsallis entropy of order statistics in past lifetime.

Journal of the Indian Society for Probability and Statistics, 2016

The Quantile based entropy measure own a few precise properties than its distribution function te... more 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.