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This paper introduces a class of copula models for spatial data, based on multivariate Pareto-mixture distributions. We explore the tail properties of these models, demonstrating their ability to capture both tail dependence and asymptotic…

统计方法学 · 统计学 2026-01-28 Pavel Krupskii

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

统计方法学 · 统计学 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

The mixture of factor analyzers (MFA) model provides a powerful tool for analyzing high-dimensional data as it can reduce the number of free parameters through its factor-analytic representation of the component covariance matrices. This…

统计方法学 · 统计学 2013-07-09 Tsung-I Lin , Geoffrey J. McLachlan , Sharon X. Lee

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

概率论 · 数学 2022-07-19 Ivan Kryven , Rik Versendaal

In this paper, we introduce a mixture of skew-t factor analyzers as well as a family of mixture models based thereon. The mixture of skew-t distributions model that we use arises as a limiting case of the mixture of generalized hyperbolic…

统计方法学 · 统计学 2014-05-05 Paula M. Murray , Ryan P. Browne , Paul D. McNicholas

A new discrete distribution has been proposed as a discrete analogue of the two sided power distribution [Van Drop, J. R. and Kotz, S. (2002a). A novel extension of the triangular distribution and its parameter estimation, Journal of the…

统计理论 · 数学 2015-01-27 Subrata Chakraborty , Dhrubajyoti Chakravarty

Recent work has leveraged the popular distributionally robust optimization paradigm to combat overfitting in classical logistic regression. While the resulting classification scheme displays a promising performance in numerical experiments,…

最优化与控制 · 数学 2023-01-18 Aras Selvi , Mohammad Reza Belbasi , Martin B Haugh , Wolfram Wiesemann

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows to manage the microscopic and the macroscopic scale under a unique framework. In the resulting…

数学物理 · 物理学 2011-01-24 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

The Box-Cox symmetric distributions constitute a broad class of probability models for positive continuous data, offering flexibility in modeling skewness and tail behavior. Their parameterization allows a straightforward quantile-based…

统计方法学 · 统计学 2026-01-16 Rodrigo M. R. de Medeiros , Francisco F. Queiroz

In this paper we introduce and study the class of multivariate strong and strongly subexponential distributions. Some first properties are verified, as for example a type of multivariate analogue of Kesten's inequality, the closure property…

概率论 · 数学 2026-02-09 Charalampos D. Passalidis

In distributed learning, the goal is to perform a learning task over data distributed across multiple nodes with minimal (expensive) communication. Prior work (Daume III et al., 2012) proposes a general model that bounds the communication…

机器学习 · 计算机科学 2012-04-17 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are…

统计方法学 · 统计学 2012-03-02 François Caron , Luke Bornn , Arnaud Doucet

In meta-analysis, the random-effects models are standard tools to address between-study heterogeneity in evidence synthesis analyses. For the random-effects distribution models, the normal distribution model has been adopted in most…

应用统计 · 统计学 2021-07-28 Hisashi Noma , Kengo Nagashima , Shogo Kato , Satoshi Teramukai , Toshi A. Furukawa

In this paper, we proposed a new lifetime distribution namely generalized weighted Lindley (GLW) distribution. The GLW distribution is a useful generalization of the weighted Lindley distribution, which accommodates increasing, decreasing,…

统计理论 · 数学 2016-07-20 P. L. Ramos , F. Louzada

In the context of modulated-symmetry distributions, there exist various forms of skew-elliptical families. We present yet another one, but with an unusual feature: the modulation factor of the baseline elliptical density is represented by a…

概率论 · 数学 2017-10-11 Adelchi Azzalini , Giuliana Regoli

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

机器学习 · 统计学 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

Modeling stochastic dynamics from discrete observations is a key interdisciplinary challenge. Existing methods often fail to estimate the continuous evolution of probability densities from trajectories or face the curse of dimensionality.…

计算工程、金融与科学 · 计算机科学 2025-12-02 Ruikun Li , Jiazhen Liu , Huandong Wang , Qingmin Liao , Yong Li

Time series of observables measured from complex systems do often exhibit non-normal statistics, their statistical distributions (PDF's) are not gaussian and often skewed, with roughly exponential tails. Departure from gaussianity is…

数据分析、统计与概率 · 物理学 2018-06-29 F. Sattin

Machine learning models are often trained on data from one distribution and deployed on others. So it becomes important to design models that are robust to distribution shifts. Most of the existing work focuses on optimizing for either…

机器学习 · 计算机科学 2021-03-31 Harvineet Singh , Shalmali Joshi , Finale Doshi-Velez , Himabindu Lakkaraju

This paper investigates the distribution of marks obtained by students across multiple courses to explore whether the data conforms to a skew-normal distribution. Traditional methods for assessing normality, such as the Shapiro Wilk test,…

统计方法学 · 统计学 2025-01-28 Himadri Mukherjee , Pratham Bhonge