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In this paper, we propose nonparametric estimators for varextropy function of an absolutely continuous random variable. Consistency of the estimators is established under suitable regularity conditions. Moreover, a simulation study is…

统计理论 · 数学 2024-06-27 F. Goodarzi , R. Zamini

In this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments,…

应用统计 · 统计学 2016-11-25 Deepesh Bhati , Mohd. Aamir Malik

In information theory, it is of recent interest to study variability of the uncertainty measures. In this regard, the concept of varentropy has been introduced and studied by several authors in recent past. In this communication, we study…

统计理论 · 数学 2024-06-04 Shital Saha , Suchandan Kayal

Statistical analysis of voluntary survey data is an important area of research in survey sampling. We consider a unified approach to voluntary survey data analysis under the assumption that the sampling mechanism is ignorable. Generalized…

统计方法学 · 统计学 2025-06-03 Yonghyun Kwon , Jae Kwang Kim , Yumou Qiu

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

统计方法学 · 统计学 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

Importance sampling has become an important tool for the computation of tail-based risk measures. Since such quantities are often determined mainly by rare events standard Monte Carlo can be inefficient and importance sampling provides a…

概率论 · 数学 2013-06-29 Pierre Nyquist

Modelling excesses over a high threshold using the Pareto or generalized Pareto distribution (PD/GPD) is the most popular approach in extreme value statistics. This method typically requires high thresholds in order for the (G)PD to fit…

统计理论 · 数学 2009-01-13 Jan Beirlant , Elisabeth Joossens , Johan Segers

Bibliographic metrics are commonly utilized for evaluation purposes within academia, often in conjunction with other metrics. These metrics vary widely across fields and change with the seniority of the scholar; consequently, the only way…

数字图书馆 · 计算机科学 2021-12-17 Sen Tian , Panos Ipeirotis

We consider importance sampling as well as other properly weighted samples with respect to a target distribution $\pi$ from a different point of view. By considering the associated weights as sojourn times until the next jump, we define…

统计理论 · 数学 2007-06-13 S. Malefaki , G. Iliopoulos

Partially rank-ordered set (PROS) sampling is a generalization of ranked set sampling in which rankers are not required to fully rank the sampling units in each set, hence having more flexibility to perform the necessary judgemental ranking…

统计理论 · 数学 2015-04-29 Armin Hatefi , Mohammad Jafari Jozani

We propose the Linearly Adaptive Cross Entropy Loss function. This is a novel measure derived from the information theory. In comparison to the standard cross entropy loss function, the proposed one has an additional term that depends on…

机器学习 · 计算机科学 2025-07-16 Jae Wan Shim

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

Conventional semi-supervised contrastive learning methods assign pseudo-labels only to samples whose highest predicted class probability exceeds a predefined threshold, and then perform supervised contrastive learning using those selected…

机器学习 · 计算机科学 2026-01-09 Shogo Nakayama , Masahiro Okuda

Sharp, nonasymptotic bounds are obtained for the relative entropy between the distributions of sampling with and without replacement from an urn with balls of $c\geq 2$ colors. Our bounds are asymptotically tight in certain regimes and,…

概率论 · 数学 2026-01-14 Oliver Johnson , Lampros Gavalakis , Ioannis Kontoyiannis

We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statistical pattern recognition in recent years. Our goal is to test…

统计方法学 · 统计学 2008-02-06 E. Ceyhan , C. E. Priebe , D. J. Marchette

Eliciting preferences from human judgements is inherently imprecise, yet most decision analysis methods force a single priority vector from pairwise comparisons, discarding the information embedded in inconsistencies. We instead leverage…

综合经济学 · 经济学 2026-02-27 Salvatore Greco , Sajid Siraj , Michele Lundy

A common method for deriving non-parametric tests is to reformulate a parametric test in terms of sample ranks. Despite being distribution free (even in finite samples), the resulting tests often display remarkable asymptotic power…

统计理论 · 数学 2022-08-10 Dan D. Erdmann-Pham , Jonathan Terhorst , Yun S. Song

An updated review [1] of nonextensive statistical mechanics and thermodynamics is colloquially presented. Quite naturally the possibility emerges for using the value of q-1 (entropic nonextensivity) as a simple and efficient manner to…

统计力学 · 物理学 2007-05-23 Constantino Tsallis

Entropy rate of sequential data-streams naturally quantifies the complexity of the generative process. Thus entropy rate fluctuations could be used as a tool to recognize dynamical perturbations in signal sources, and could potentially be…

信息论 · 计算机科学 2014-03-24 Ishanu Chattopadhyay , Hod Lipson

In this work, we propose extropy measures based on density copula, distributional copula, and survival copula, and explore their properties. We study the effect of monotone transformations for the proposed measures and obtain bounds. We…

统计理论 · 数学 2024-06-04 Shital Saha , Suchandan Kayal