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Finite mixture models are widely used in econometric analyses to capture unobserved heterogeneity. This paper shows that maximum likelihood estimation of finite mixtures of parametric densities can suffer from substantial finite-sample bias…

统计方法学 · 统计学 2026-02-04 Raphaël Langevin

When opinion spread is studied, peer pressure is often modeled by interactions of more than two individuals (higher-order interactions). In our work, we introduce a two-layer random hypergraph model, in which hyperedges represent households…

社会与信息网络 · 计算机科学 2025-12-30 Ágnes Backhausz , Villő Csiszár , Balázs Csegő Kolok , Damján Tárkányi , András Zempléni

We study Pareto optimality in a decentralized peer-to-peer risk-sharing market where agents' preferences are represented by robust distortion risk measures that are not necessarily convex. We obtain a characterization of Pareto-optimal…

风险管理 · 定量金融 2025-10-08 Mario Ghossoub , Michael B. Zhu , Wing Fung Chong

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

统计方法学 · 统计学 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

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

In spite of the recent surge of interest in quantile regression, joint estimation of linear quantile planes remains a great challenge in statistics and econometrics. We propose a novel parametrization that characterizes any collection of…

统计方法学 · 统计学 2015-07-14 Yun Yang , Surya Tokdar

We propose a novel two-regime regression model where regime switching is driven by a vector of possibly unobservable factors. When the factors are latent, we estimate them by the principal component analysis of a panel data set. We show…

计量经济学 · 经济学 2022-08-11 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

The Extended Generalized Pareto Distribution (EGPD) (Naveau et al. 2016) is a family of distribution that has been introduced to model the full range of a positive random variable but with the lower and the upper tails distributed according…

统计方法学 · 统计学 2022-09-13 Noémie Le Carrer , Carlo Gaetan

In various applications of heavy-tail modelling, the assumed Pareto behavior is tempered ultimately in the range of the largest data. In insurance applications, claim payments are influenced by claim management and claims may for instance…

统计理论 · 数学 2020-09-29 Jose Carlos Araujo Acuna , Hansjoerg Albrecher , Jan Beirlant

In this article there is no intention to repeat basic concepts about risk management, but we will try to define why often is usefull the time series analysis during the assessment of risks, and how is possible to compute a significative…

应用统计 · 统计学 2016-01-13 Gianluca Rosso

Continuous mixtures of distributions are widely employed in the statistical literature as models for phenomena with highly divergent outcomes; in particular, many familiar heavy-tailed distributions arise naturally as mixtures of…

统计方法学 · 统计学 2017-10-10 Carter T. Butts

Generating accurate extremes from an observational data set is crucial when seeking to estimate risks associated with the occurrence of future extremes which could be larger than those already observed. Applications range from the…

机器学习 · 统计学 2026-02-02 Nicolas Lafon , Philippe Naveau , Ronan Fablet

Data derived from remote sensing or numerical simulations often have a regular gridded structure and are large in volume, making it challenging to find accurate spatial models that can fill in missing grid cells or simulate the process…

机器学习 · 统计学 2025-05-07 Sweta Rai , Douglas W. Nychka , Soutir Bandyopadhyay

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

机器学习 · 计算机科学 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

Projections of extreme sea levels (ESLs) are critical for managing coastal risks, but are made complicated by deep uncertainties. One key uncertainty is the choice of model structure used to estimate coastal hazards. Differences in model…

数据分析、统计与概率 · 物理学 2020-06-15 Tony E. Wong , Travis Torline , Mingxuan Zhang

Regionalization methods have long been used to estimate high return levels of river discharges at ungauged locations on a river network. In these methods, the recorded discharge measurements of a group of similar, gauged, stations is used…

应用统计 · 统计学 2016-11-11 Peiman Asadi , Sebastian Engelke , Anthony C. Davison

Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

机器学习 · 计算机科学 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

The key to successful statistical analysis of bivariate extreme events lies in flexible modelling of the tail dependence relationship between the two variables. In the extreme value theory literature, various techniques are available to…

统计方法学 · 统计学 2025-05-05 Emma S. Simpson , Jonathan A. Tawn

We propose a multi-threshold change plane regression model which naturally partitions the observed subjects into subgroups with different covariate effects. The underlying grouping variable is a linear function of covariates and thus…

统计方法学 · 统计学 2018-08-03 Jialiang Li , Yaguang Li , Baisuo Jin

Extremile regression, as a least squares analog of quantile regression, is potentially useful tool for modeling and understanding the extreme tails of a distribution. However, existing extremile regression methods, as nonparametric…

统计方法学 · 统计学 2025-07-03 Rong Jiang , Keming Yu , Jiangfeng Wang