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Multiple systems estimation using a Poisson loglinear model is a standard approach to quantifying hidden populations where data sources are based on lists of known cases. Information criteria are often used for selecting between the large…

统计方法学 · 统计学 2023-11-23 Bernard W. Silverman , Lax Chan , Kyle Vincent

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 Generalized Pareto Distribution (GPD) plays a central role in modelling heavy tail phenomena in many applications. Applying the GPD to actual datasets however is a non-trivial task. One common way suggested in the literature to…

统计理论 · 数学 2017-08-08 Se Yoon Lee , Joseph H. T. Kim

Classical models for multivariate or spatial extremes are mainly based upon the asymptotically justified max-stable or generalized Pareto processes. These models are suitable when asymptotic dependence is present, i.e., the joint tail…

统计方法学 · 统计学 2021-05-13 Zhongwei Zhang , Raphaël Huser , Thomas Opitz , Jennifer L. Wadsworth

This paper presents applications of the peaks-over threshold methodology for both the univariate and the recently introduced bivariate case, combined with a novel bootstrap approach. We compare the proposed bootstrap methods to the more…

统计理论 · 数学 2013-10-30 László Varga , Pál Rakonczai , András Zempléni

Inference on the extremal behaviour of spatial aggregates of precipitation is important for quantifying river flood risk. There are two classes of previous approach, with one failing to ensure self-consistency in inference across different…

统计方法学 · 统计学 2022-06-22 Jordan Richards , Jonathan A. Tawn , Simon Brown

Various natural phenomena exhibit spatial extremal dependence at short spatial distances. However, existing models proposed in the spatial extremes literature often assume that extremal dependence persists across the entire domain. This is…

统计方法学 · 统计学 2024-05-01 Arnab Hazra , Raphaël Huser , David Bolin

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

One measurement modality for rainfall is a fixed location rain gauge. However, extreme rainfall, flooding, and other climate extremes often occur at larger spatial scales and affect more than one location in a community. For example, in…

统计方法学 · 统计学 2024-05-02 Carlynn Fagnant , Julia C. Schedler , Katherine B. Ensor

We propose a new model and estimation framework for spatiotemporal streamflow exceedances above a threshold that flexibly captures asymptotic dependence and independence in the tail of the distribution. We model streamflow using a mixture…

统计方法学 · 统计学 2026-02-19 Ryan Li , Emily C. Hector , Brian J. Reich , Reetam Majumder

A method is described for predicting extremes values beyond the span of historical data. The method - based on extending a curve fitted to a location- and scale-invariant variation of the double-logarithmic QQ-plot - is simple and…

统计理论 · 数学 2014-08-08 Allan McRobie

In this chapter, we show how to efficiently model high-dimensional extreme peaks-over-threshold events over space in complex non-stationary settings, using extended latent Gaussian Models (LGMs), and how to exploit the fitted model in…

统计方法学 · 统计学 2021-10-07 Arnab Hazra , Raphaël Huser , Árni V. Jóhannesson

The classical modeling of spatial extremes relies on asymptotic models (i.e., max-stable processes or $r$-Pareto processes) for block maxima or peaks over high thresholds, respectively. However, at finite levels, empirical evidence often…

统计方法学 · 统计学 2020-09-15 Raphaël Huser , Jennifer L. Wadsworth

Accurate rainfall forecasting, particularly for extreme events, remains a significant challenge in climatology and the Earth system. This paper presents novel physics-informed Graph Neural Networks (GNNs) combined with extreme-value…

The extreme value dependence of regularly varying stationary time series can be described by the spectral tail process. Drees, Segers and Warchol [Extremes 18(3): 369--402, 2015] proposed estimators of the marginal distributions of this…

统计理论 · 数学 2019-07-23 Holger Drees , Miran Knezevic

Climate extremes such as floods, storms, and heatwaves have caused severe economic and human losses across Europe in recent decades. To support the European Union's climate resilience efforts, we propose a statistical framework for…

应用统计 · 统计学 2025-05-26 Carlotta Pacifici , Simone A. Padoan , Jaroslav Mysiak

Composite probability models have shown very promising results for modeling claim severity data comprised of small, moderate, and large losses. In this paper, we introduce three classes of parametric composite regression models with a…

应用统计 · 统计学 2022-08-03 Girish Aradhye , Deepesh Bhati , George Tzougas

The climate change dispute is about changes over time of environmental characteristics (such as rainfall). Some people say that a possible change is not so much in the mean but rather in the extreme phenomena (that is, the average rainfall…

统计理论 · 数学 2015-06-16 Laurens de Haan , Albert Klein Tank , Cláudia Neves

Statistical multispecies models of multiarea marine ecosystems use a variety of data sources to estimate parameters using composite or weighted likelihood functions with associated weighting issues and questions on how to obtain variance…

应用统计 · 统计学 2012-02-16 Lorna Taylor , Verena M. Trenkel , Vojtech Kupca , Gunnar Stefansson

By integrating two powerful methods of density reduction and intrinsic dimensionality estimation, a new data-driven method, referred to as OLPP-MLE (orthogonal locality preserving projection-maximum likelihood estimation), is introduced for…

统计方法学 · 统计学 2020-12-15 Jingxin Zhang , Maoyin Chen , Hao Chen , Xia Hong , Donghua Zhou