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相关论文: Cumulative Residual Extropy of Minimum Ranked Set …

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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

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

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…

统计理论 · 数学 2026-04-17 Santosh Kumar Chaudhary , Sarikul Islam , 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

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 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

We show that the effectiveness of the well celebrated Mixup [Zhang et al., 2018] can be further improved if instead of using it as the sole learning objective, it is utilized as an additional regularizer to the standard cross-entropy loss.…

机器学习 · 计算机科学 2023-02-08 Francesco Pinto , Harry Yang , Ser-Nam Lim , Philip H. S. Torr , Puneet K. Dokania

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 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

The cumulative residual extropy (CRJ) is a measure of uncertainty that serves as an alternative to extropy. It replaces the probability density function with the survival function in the expression of extropy. This work introduces a new…

统计方法学 · 统计学 2024-07-17 Gaurav Kandpal , Nitin Gupta

Contrastive Representation Learning (CRL) has achieved strong empirical success in multiple machine learning disciplines, yet its theoretical sample complexity remains poorly understood. Existing analyses usually assume that input tuples…

机器学习 · 统计学 2026-05-29 Nong Minh Hieu , Antoine Ledent

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

Loss functions like Categorical Cross Entropy (CCE), Binary Cross Entropy (BCE), and Bayesian Personalized Ranking (BPR) are commonly used in training Recommender Systems (RSs) to differentiate positive items - those interacted with by…

信息检索 · 计算机科学 2025-04-22 Giulia Di Teodoro , Federico Siciliano , Nicola Tonellotto , Fabrizio Silvestri

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

统计方法学 · 统计学 2025-11-12 Kentaro Fukumoto

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…

统计理论 · 数学 2025-12-12 Faranak Goodarzi , Somayeh Ghafouri

The min-entropy is a widely used metric to quantify the randomness of generated random numbers, which measures the difficulty of guessing the most likely output. It is difficult to accurately estimate the min-entropy of a non-independent…

信息论 · 计算机科学 2021-12-20 Jiheon Woo , Chanhee Yoo , Young-Sik Kim , Yuval Cassuto , Yongjune Kim

Using different extropies of k record values various characterizations are provided for continuous symmetric distributions. The results are in addition to the results of Ahmadi, J. (Statistical Papers, 2021, 62:2603-2626). These include…

统计理论 · 数学 2022-08-16 Nitin Gupta , Santosh Kumar Chaudhary

Survival extropy, which quantifies the uncertainty associated with the remaining lifetime distribution, provides an information-theoretic perspective on survival behavior. We consider a divergence measure based on survival extropy and…

统计理论 · 数学 2025-12-03 Naresh Garg , Isha Dewan , Sudheesh Kumar Kattumannil

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
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