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The extropy measure, first proposed by Lad, Sanfilippo, and Agro in their (2015) paper in Statistical Science, has attracted considerable attention in recent years. Our study introduces a fresh approach to representing weighted extropy in…

Statistics Theory · Mathematics 2024-05-21 Pradeep Kumar Sahu , Nitin Gupta

In the past six years, a considerable attention has been given to the extropy measure proposed by Lad et al. (2015). Weighted Extropy of Ranked Set Sampling was studied and compared with simple random sampling by Qiu et al. (2022). The…

Statistics Theory · Mathematics 2022-07-06 Nitin Gupta , Santosh Kumar Chaudhary

The extropy is a measure of information introduced by Lad et al. (2015) as dual to entropy. As the entropy, it is a shift-independent information measure. We introduce here the notion of weighted extropy, a shift-dependent information…

Statistics Theory · Mathematics 2020-08-19 Narayanaswamy Balakrishnan , Francesco Buono , Maria Longobardi

Recently, Extropy was introduced by Lad, Sanfilippo and Agr\`o as a complement dual of Shannon Entropy. In this paper, we propose dynamic versions of Extropy for doubly truncated random variables as measures of uncertainty called Interval…

Probability · Mathematics 2021-12-03 Francesco Buono , Osman Kamari , Maria Longobardi

In industrial, environmental, and ecological investigations, ranked set sampling is a sample method that enables the experimenter to use the whole range of population values. The ranked set sampling process can be modified in two extremely…

Statistics Theory · Mathematics 2023-05-03 Santosh Kumar Chaudhary , Nitin Gupta

Recently, a new measure of information called extropy has been introduced by Lad, Sanfilippo and Agr\`o as the dual version of Shannon entropy. In the literature, Tsallis introduced a measure for a discrete random variable, named Tsallis…

Probability · Mathematics 2021-09-30 Narayanaswamy Balakrishnan , Francesco Buono , Maria Longobardi

Weighted extropy has recently emerged as a flexible information measure for quantifying uncertainty, with particular relevance to order statistics. In this paper, we introduce and study a weighted cumulative analogue of extropy, extending…

Statistics Theory · Mathematics 2026-04-17 Santosh Kumar Chaudhary , Sarikul Islam , Nitin Gupta

In the recent information-theoretic literature, the concept of extropy has been studied for order statistics. In the present communication we consider a cumulative analogue of extropy in the same vein of cumulative residual (past) entropy…

Statistics Theory · Mathematics 2020-04-28 Chanchal Kundu

Extropy, a complementary dual of entropy, (proposed by Lad et al. \cite{lad2015extropy} in 2015) has attracted considerable interest from the research community. In this study, we focus on discrete random variables and define conditional…

Information Theory · Computer Science 2025-07-16 Naveen Kumar , Vivek Vijay

Recently Qiu et al. (2017) have introduced residual extropy as measure of uncertainty in residual lifetime distributions analogues to residual entropy (1996). Also, they obtained some properties and applications of that. In this paper, we…

Statistics Theory · Mathematics 2020-09-07 Osman Kamari , Francesco Buono

Extropy and its properties are explored to quantify the uncertainty. In this paper, we obtain alternative expressions for cumulative residual extropy and negative cumulative extropy. We obtain simple estimators of cumulative (residual)…

Methodology · Statistics 2021-08-23 Sudheesh K. K. , Sreedevi E. P

Extropy was introduced as a dual complement of the Shannon entropy. In this investigation, we consider failure extropy and its dynamic version. Various basic properties of these measures are presented. It is shown that the dynamic failure…

Statistics Theory · Mathematics 2021-04-29 Suchandan Kayal

In this paper, we investigate several properties of the weighted varextropy measure and obtain it for specific distribution functions, such as the equilibrium and weighted distributions. We also obtain bounds for the weighted varextropy, as…

Statistics Theory · Mathematics 2025-07-01 Faranak Goodarzi

Gupta and Chaudhary [14] introduced general weighted extropy and studied related properties. In this paper, we study conditional extropy and define the monotonic behaviour of conditional extropy. Also, we obtain results on the convolution…

Information Theory · Computer Science 2023-01-03 Nitin Gupta , Santosh Kumar Chaudhary

In this paper, we consider the concept of the residual inaccuracy measure and extend it to its weighted version based on extropy. Properties of this measure are studied and the discrimination principle is applied in the class of…

Methodology · Statistics 2025-02-03 M. Hashempour , M. R. Kazemi

In many statistical studies, the measure of uncertainties like entropy, extropy, varentropy and varextropy of a distribution function is of prime interest. This paper proposes estimators of extropy and varextropy. Proposed estimators are…

Statistics Theory · Mathematics 2024-01-25 Santosh Kumar Chaudhary , Nitin Gupta

The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this paper. There are some results in relation to GWCPJ and GWCRJ. We take into account GWCRJ-based uncertainty…

Statistics Theory · Mathematics 2024-04-23 Santosh Kumar Chaudhary , Nitin Gupta

Recently, varextropy has been introduced as a new dispersion index and a measure of information. In this article, we derive the generating function of extropy and present its infinite series representation. Furthermore, we propose new…

Statistics Theory · Mathematics 2025-12-12 Faranak Goodarzi , Somayeh Ghafouri

In this article, we propose two classes of relative information measures based on extropy, viz., the generalized extropy similarity ratio (GESR) and generalized extropy divergence ratio (GEDR), that measure the similarity and discrepancy…

Methodology · Statistics 2025-08-20 Saranya P. , Sunoj S. M

This study explores information measures based on extropy, introducing dynamic relative extropy measures for residual and past lifetimes, and investigating their various properties. Furthermore, the study analyzes the relationships between…

Applications · Statistics 2025-03-11 Saranya P. , Sunoj S. M.
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