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The multivariate generalized Pareto distribution (mGPD) is a common method for modeling extreme threshold exceedance probabilities in environmental and financial risk management. Despite its broad applicability, mGPD faces challenges due to…

统计方法学 · 统计学 2025-03-18 Chenglei Hu , Daniela Castro-Camilo

In this work we present for the first time an application of the Pareto approach to the modelling of the excesses of galaxy clusters over high-mass thresholds. The distribution of those excesses can be described by the generalized Pareto…

宇宙学与河外天体物理 · 物理学 2015-06-03 Jean-Claude Waizmann , Stefano Ettori , Lauro Moscardini

Within the framework of probability models for overdispersed count data, we propose the generalized fractional Poisson distribution (gfPd), which is a natural generalization of the fractional Poisson distribution (fPd), and the standard…

概率论 · 数学 2021-01-12 Dexter Cahoy , Elvira Di Nardo , Federico Polito

High-dimensional prediction considers data with more variables than samples. Generic research goals are to find the best predictor or to select variables. Results may be improved by exploiting prior information in the form of co-data,…

统计方法学 · 统计学 2022-05-17 Mirrelijn M. van Nee , Lodewyk F. A. Wessels , Mark A. van de Wiel

The generalized Pareto distribution (GPD) is a fundamental model for analyzing the tail behavior of a distribution. In particular, the shape parameter of the GPD characterizes the extremal properties of the distribution. As described in…

统计方法学 · 统计学 2026-02-18 Takuma Yoshida , Koki Momoki , Shuichi Kawano

A new class of distributions, called Generalized One Parameter Polynomial Exponential-G family of distributions is proposed for modelling lifetime data. An account of the structural and reliability properties of the new class is presented.…

应用统计 · 统计学 2020-06-11 Sudhansu S. Maiti , Sukanta Pramanik

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.…

统计方法学 · 统计学 2022-01-14 Raphaël de Fondeville , Anthony C. Davison

Growth mixture models (GMMs) incorporate both conventional random effects growth modeling and latent trajectory classes as in finite mixture modeling; therefore, they offer a way to handle the unobserved heterogeneity between subjects in…

统计方法学 · 统计学 2017-11-15 Yuhong Wei , Yang Tang , Emilie Shireman , Paul D. McNicholas , Douglas L. Steinley

The aim of this paper is to extend Azzalini's method. This extension is done in two stages: consider two dependent and non-identically distributed random variables say $X_1$ and $X_2$; model the dependence between $X_1$ and $X_2$ by a…

统计理论 · 数学 2018-03-06 Filippo Domma , Božidar V. Popović , Saralees Nadarajah

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

统计方法学 · 统计学 2023-11-14 Jana Kleinemeier , Nadja Klein

Modeling precipitation and its accumulation over time and space is essential for flood risk assessment. In this paper, we analyze rainfall data collected over several years through a micro-scale precipitation sensor network in Montpellier,…

应用统计 · 统计学 2026-04-23 Chloé Serre-Combe , Nicolas Meyer , Thomas Opitz , Gwladys Toulemonde

Accurate modeling of daily rainfall, encompassing both dry and wet days as well as extreme precipitation events, is critical for robust hydrological and climatological analyses. This study proposes a zero-inflated extended generalized…

应用统计 · 统计学 2025-10-01 Aamar Abbas , Touqeer Ahmad , Ishfaq Ahmad

The generalised extreme value (GEV) distribution is a three parameter family that describes the asymptotic behaviour of properly renormalised maxima of a sequence of independent and identically distributed random variables. If the shape…

应用统计 · 统计学 2022-05-10 Daniela Castro-Camilo , Raphaël Huser , Håvard Rue

In this survey we present an extensive research of the vast literature about the Generalized Lambda Distribution (GLD) and propose a hurdle, or two-way, model whose associated distribution is the GLD in order to meet the demand for a highly…

应用统计 · 统计学 2019-01-04 Diego Marcondes , Cláudia Peixoto , Ana Carolina Maia

Panel data arise in a wide range of application areas, and developing modelling methods for extreme values under such a setup is essential for reliable risk assessment and management. When choosing to model the marginal distributions of…

统计方法学 · 统计学 2025-09-19 Zefan Liu , Natalia Nolde

In this paper, we provide finite sample results to assess the consistency of Generalized Pareto regression trees, as tools to perform extreme value regression. The results that we provide are obtained from concentration inequalities, and…

统计理论 · 数学 2021-12-21 Sébastien Farkas , Antoine Heranval , Olivier Lopez , Maud Thomas

We propose a comprehensive framework for additive regression models for non-Gaussian functional responses, allowing for multiple (partially) nested or crossed functional random effects with flexible correlation structures for, e.g.,…

统计方法学 · 统计学 2016-05-09 Fabian Scheipl , Jan Gertheiss , Sonja Greven

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

This article aims to introduced a new distribution named as extended xgamma (EXg) distribution. This generalization is derived from xgamma distribution (Xg), a special finite mixture of exponential and gamma distributions [see, Sen et al.…

In this paper, we introduce a new three-parameter distribution based on the combination of re-parametrization of the so-called EGNB2 and transmuted exponential distributions. This combination aims to modify the transmuted exponential…

统计理论 · 数学 2020-02-11 Christophe Chesneau , Hassan S. Bakouch , Muhammad Nauman Khan