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相关论文: On general weighted cumulative residual (past) ext…

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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…

统计理论 · 数学 2020-04-28 Chanchal Kundu

In this paper, we define general weighted cumulative residual extropy (GWCRJ) and general weighted negative cumulative extropy (GWNCJ). We obtain its simple estimators for complete and right censored data. We obtain some results on GWCREJ…

统计理论 · 数学 2023-07-28 Nitin Gupta , Santosh Kumar Chaudhary , Pradeep Kumar Sahu

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…

统计理论 · 数学 2024-04-23 Santosh Kumar Chaudhary , Nitin Gupta

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…

统计理论 · 数学 2020-08-19 Narayanaswamy Balakrishnan , Francesco Buono , Maria Longobardi

In this paper, we study some properties and characterization of the general weighted cumulative past extropy (n-WCPJ). Many results including some bounds, inequalities, and effects of linear transformations are obtained. We study the…

统计理论 · 数学 2023-05-09 Pradeep Kumar Sahu , Nitin Gupta

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)…

统计方法学 · 统计学 2021-08-23 Sudheesh K. K. , Sreedevi E. P

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…

统计理论 · 数学 2020-09-07 Osman Kamari , Francesco Buono

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…

统计理论 · 数学 2023-05-03 Santosh Kumar Chaudhary , Nitin Gupta

The extropy measure, introduced by Lad, Sanfilippo, and Agro in their (2015) paper in Statistical Science, has garnered significant interest over the past years. In this study, we present a novel representation for the weighted extropy…

统计理论 · 数学 2024-03-06 Pradeep Kumar Sahu , Nitin Gupta

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…

统计理论 · 数学 2025-07-01 Faranak Goodarzi

Recently, an alternative measure of uncertainty called cumulative residual extropy (CREX) was proposed by Jahanshahi et al. (2019). In this paper, we consider uncertainty measures of minimum ranked set sampling procedure with unequal…

统计理论 · 数学 2020-08-21 Mohammad Reza Kazemia , Saeid Tahmasebib , Camilla Calì , Maria Longobardi

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…

统计理论 · 数学 2022-07-06 Nitin Gupta , Santosh Kumar Chaudhary

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…

统计方法学 · 统计学 2025-08-20 Saranya P. , Sunoj S. M

A novel heuristic approach is proposed here for time series data analysis, dubbed Generalized weighted permutation entropy, which amalgamates and generalizes beyond their original scope two well established data analysis methods:…

统计力学 · 物理学 2022-10-19 Darko Stosic , Dusan Stosic , Tatijana Stosic , Borko Stosic

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…

统计理论 · 数学 2024-05-21 Pradeep Kumar Sahu , Nitin Gupta

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…

统计方法学 · 统计学 2025-02-03 M. Hashempour , M. R. Kazemi

Recently, the concept of cumulative residual entropy (CRE) has been studied by many researchers in higher dimensions. In this article, we extend the definition of (dynamic) cumulative past entropy (DCPE), a dual measure of (dynamic) CRE, to…

统计理论 · 数学 2015-09-10 Amarjit Kundu , Chanchal Kundu

This paper reviews generalized Pareto copulas (GPC), which turn out to be a key to multivariate extreme value theory. Any GPC can be represented in an easy analytic way using a particular type of norm on $\mathbb{R}^d$, called $D$-norm. The…

统计理论 · 数学 2018-11-26 Michael Falk , Simone Padoan , Florian Wisheckel

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…

概率论 · 数学 2021-12-03 Francesco Buono , Osman Kamari , Maria Longobardi

We consider a "length-biased" shift-dependent information measure, related to the differential entropy in which higher weight is assigned to large values of observed random variables. This allows us to introduce the notions of "weighted…

统计理论 · 数学 2011-06-27 Antonio Di Crescenzo , Maria Longobardi
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