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The Multivariate Extreme Value distributions have shown their usefulness in environmental studies, financial and insurance mathematics. The Logistic or Gumbel-Hougaard distribution is one of the oldest multivariate extreme value models and…

Probability · Mathematics 2011-04-29 Helena Ferreira , Luísa Pereira

Insurance data can be asymmetric with heavy tails, causing inadequate adjustments of the usually applied models. To deal with this issue, hierarchical models for collective risk with heavy-tails of the claims distributions that take also…

Applications · Statistics 2021-01-26 Pamela M. Chiroque-Solano , Fernando A. S. Moura

In several applications, ultimately at the largest data, truncation effects can be observed when analysing tail characteristics of statistical distributions. In some cases truncation effects are forecasted through physical models such as…

Methodology · Statistics 2017-05-17 Jan Beirlant , Isabel Fraga Alves , Tom Reynkens

Deep generative networks such as GANs and normalizing flows flourish in the context of high-dimensional tasks such as image generation. However, so far exact modeling or extrapolation of distributional properties such as the tail…

Machine Learning · Computer Science 2019-07-09 Magnus Wiese , Robert Knobloch , Ralf Korn

Although power laws of the Zipf type have been used by many workers to fit rank distributions in different fields like in economy, geophysics, genetics, soft-matter, networks etc., these fits usually fail at the tails. Some distributions…

Data Analysis, Statistics and Probability · Physics 2015-10-12 Gerardo G. Naumis , Germinal Cocho

Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a simple Lie group gauge interaction in the Grand Unification…

High Energy Physics - Theory · Physics 2022-02-02 Juven Wang

Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement. (A special case of this result is that binomial tail…

Probability · Mathematics 2011-07-11 Kyle J. Luh , Nicholas Pippenger

We study a broad class of asymmetric copulas introduced by Liebscher (2008) as a combination of multiple - usually symmetric - copulas. The main thrust of the paper is to provide new theoretical properties including exact tail dependence…

Statistics Theory · Mathematics 2019-07-16 Julyan Arbel , Marta Crispino , Stéphane Girard

Impact assessment of natural hazards requires the consideration of both extreme and non-extreme events. Extensive research has been conducted on the joint modeling of bulk and tail in univariate settings; however, the corresponding body of…

Methodology · Statistics 2026-03-31 Chenglei Hu , Ben Swallow , Daniela Castro-Camilo

Peaks-over-threshold analysis using the generalized Pareto distribution is widely applied in modelling tails of univariate random variables, but much information may be lost when complex extreme events are studied using univariate results.…

Methodology · Statistics 2022-01-14 Raphaël de Fondeville , Anthony C. Davison

We propose a model for unbalanced longitudinal data, where the univariate margins can be selected arbitrarily and the dependence structure is described with the help of a D-vine copula. We show that our approach is an extremely flexible…

Methodology · Statistics 2017-05-18 Matthias Killiches , Claudia Czado

A new family of distributions indexed by the class of matrix variate contoured elliptically distribution is proposed as an extension of some bimatrix variate distributions. The termed \emph{multimatrix variate distributions} open new…

Statistics Theory · Mathematics 2024-05-07 José A. Díaz-García , Francisco J. Caro-Lopera

Fragment-Based Drug Discovery (FBDD) is a popular approach in early drug development, but designing effective linkers to combine disconnected molecular fragments into chemically and pharmacologically viable candidates remains challenging.…

Machine Learning · Computer Science 2025-09-24 Xuefeng Liu , Songhao Jiang , Qinan Huang , Tinson Xu , Ian Foster , Mengdi Wang , Hening Lin , Rick Stevens

Accurately quantifying tail risks-rare but high-impact events such as financial crashes or extreme weather-is a central challenge in risk management, with serially dependent data. We develop a Bayesian framework based on the Generalized…

Methodology · Statistics 2025-10-17 David L. Carl , Simone A. Padoan , Stefano Rizzelli

Despite the successes of probabilistic models based on passing noise through neural networks, recent work has identified that such methods often fail to capture tail behavior accurately, unless the tails of the base distribution are…

Machine Learning · Statistics 2023-06-16 Feynman Liang , Liam Hodgkinson , Michael W. Mahoney

In this paper we present a surprisingly general extension of the main result of a paper that appeared in this journal: I. Montes et al., Sklar's theorem in an imprecise setting, Fuzzy Sets and Systems, 278 (2015), 48--66. The main tools we…

Probability · Mathematics 2023-08-28 Matjaž Omladič , Nik Stopar

There exist several endeavors proposing a new family of extended distributions using the beta-generating technique. This is a well-known mechanism in developing flexible distributions, by embedding the cumulative distribution function (cdf)…

Statistics Theory · Mathematics 2019-12-17 M. Arashi , A. Bekker , D. de Waal , S. Makgai

Following a strategy recently developed by Ivan Nourdin and Giovanni Peccati, we provide a general technique to compare the tail of a given random variable to that of a reference distribution. This enables us to give concrete conditions to…

Probability · Mathematics 2010-07-06 Richard Eden , Frederi Viens

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

Panoptic Part Segmentation (PPS) unifies panoptic and part segmentation into one task. Previous works utilize separate approaches to handle things, stuff, and part predictions without shared computation and task association. We aim to unify…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Xiangtai Li , Shilin Xu , Yibo Yang , Haobo Yuan , Guangliang Cheng , Yunhai Tong , Zhouchen Lin , Ming-Hsuan Yang , Dacheng Tao