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Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

统计计算 · 统计学 2015-01-15 Brendon J. Brewer

Landslides represent a major geohazard with severe impacts on human life, infrastructure, and ecosystems, underscoring the need for accurate and timely detection approaches to support disaster risk reduction. This study proposes a modular,…

计算机视觉与模式识别 · 计算机科学 2026-04-29 Ioannis Nasios

We introduce a class of continuous-time bivariate phase-type distributions for modeling dependencies from common shocks. The construction uses continuous-time Markov processes that evolve identically until an internal common-shock event,…

统计理论 · 数学 2025-12-01 Martin Bladt , Oscar Peralta , Jorge Yslas

In this article, we propose joint location, scale and skewness models of the skew Laplace normal (SLN) distribution as an alternative model for joint modelling location, scale and skewness models of the skew-t-normal (STN) distribution when…

统计理论 · 数学 2018-03-15 Fatma Zehra Doğru , Olcay Arslan

We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of observations. Motivated by this problem, in this contribution we first investigate the extremes of Gaussian fields…

概率论 · 数学 2018-05-09 Long Bai

This paper presents the first application of Gaussian Mixture Copula Models to the statistical modeling of driving scenarios for the safety validation of automated driving systems. Knowledge of the joint probability distribution of scenario…

机器人学 · 计算机科学 2026-01-27 Christian Reichenbächer , Philipp Rank , Jochen Hipp , Oliver Bringmann

Marked Temporal Point Process (MTPP) has been well studied to model the event distribution in marked event streams, which can be used to predict the mark and arrival time of the next event. However, existing studies overlook that the…

机器学习 · 计算机科学 2025-10-27 Sishun Liu , Ke Deng , Yongli Ren , Yan Wang , Xiuzhen Zhang

We introduce a broad class of models called semiparametric spatial point process for making inference between spatial point patterns and spatial covariates. These models feature an intensity function with both parametric and nonparametric…

统计方法学 · 统计学 2025-09-24 Xindi Lin , Bumjun Park , Christopher Zahasky , Hyunseung Kang

We put forward a new Bayesian modeling strategy for spatiotemporal count data that enables efficient posterior sampling. Most previous models for such data decompose logarithms of the response Poisson rates into fixed effects and spatial…

统计方法学 · 统计学 2025-07-29 Yifan Cheng , Cheng Li

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

统计方法学 · 统计学 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

Spatially isotropic max-stable processes have been used to model extreme spatial or space-time observations. One prominent model is the Brown-Resnick process, which has been successfully fitted to time series, spatial data and space-time…

统计方法学 · 统计学 2016-06-08 Sven Buhl , Claudia Klüppelberg

In including random effects to account for dependent observations, the odds ratio interpretation of logistic regression coefficients is changed from population-averaged to subject-specific. This is unappealing in many applications,…

统计方法学 · 统计学 2025-12-04 Changwoo J. Lee , David B. Dunson

In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on point processes living on linear networks and, from distinct…

统计方法学 · 统计学 2024-07-11 Matthias Eckardt , Jorge Mateu , Mehdi Moradi

Many applications in medical statistics as well as in other fields can be described by transitions between multiple states (e.g. from health to disease) experienced by individuals over time. In this context, multi-state models are a popular…

An important task in the statistical analysis of inhomogeneous point processes is to investigate the influence of a set of covariates on the point-generating mechanism. In this article, we consider the nonparametric Bayesian approach to…

统计方法学 · 统计学 2026-01-19 Patric Dolmeta , Matteo Giordano

A discrete-time stochastic process derived from a model of basketball is used to generalize any discrete distribution. The generalized distributions can have one or two more parameters than the parent distribution. Those derived from…

应用统计 · 统计学 2020-06-25 Rose Baker

Frequency-magnitude distributions, and their associated uncertainties, are of key importance in statistical seismology. When fitting these distributions, the assumption of Gaussian residuals is invalid since event numbers are both discrete…

地球物理 · 物理学 2009-11-13 J. Greenhough , I. G. Main

This paper is devoted to the multivariate estimation of a vector of Poisson means. A novel loss function that penalises bad estimates of each of the parameters and the sum (or equivalently the mean) of the parameters is introduced. Under…

统计理论 · 数学 2019-04-25 Emil Aas Stoltenberg , Nils Lid Hjort

We propose a class of strongly efficient rare event simulation estimators for random walks and compound Poisson processes with a regularly varying increment/jump-size distribution in a general large deviations regime. Our estimator is based…

概率论 · 数学 2017-06-14 Bohan Chen , Jose Blanchet , Chang-Han Rhee , Bert Zwart

We propose a tractable semiparametric estimation method for structural dynamic discrete choice models. The distribution of additive utility shocks in the proposed framework is modeled by location-scale mixtures of extreme value…

计量经济学 · 经济学 2023-08-15 Andriy Norets , Kenichi Shimizu