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Although ambulance call data typically come in the form of spatio-temporal point patterns, point process-based modelling approaches presented in the literature are scarce. In this paper, we study a unique set of Swedish spatio-temporal…

应用统计 · 统计学 2020-09-15 Fekadu L. Bayisa , Markus Ådahl , Patrik Rydén , Ottmar Cronie

This work presents the cubature scheme for the fitting of spatio-temporal Poisson point processes. The methodology is implemented in the R Core Team (2024) package stopp (D'Angelo and Adelfio, 2023), published on the Comprehensive R Archive…

统计方法学 · 统计学 2024-03-19 Nicoletta D'Angelo , Giada Adelfio

This tutorial aims to provide signal processing (SP) and machine learning (ML) practitioners with vital tools, in an accessible way, to answer the question: How to deal with missing data? There are many strategies to handle incomplete…

信号处理 · 电气工程与系统科学 2026-01-06 Alexandre Hippert-Ferrer , Aude Sportisse , Amirhossein Javaheri , Mohammed Nabil El Korso , Daniel P. Palomar

In employing spatial regression models for counts, we usually meet two issues. First, ignoring the inherent collinearity between covariates and the spatial effect would lead to causal inferences. Second, real count data usually reveal over…

统计方法学 · 统计学 2021-05-21 Mahsa Nadifar , Hossein Baghishani , Afshin Fallah

Random fields are useful mathematical tools for representing natural phenomena with complex dependence structures in space and/or time. In particular, the Gaussian random field is commonly used due to its attractive properties and…

In medical research, understanding changes in outcome measurements is crucial for inferring shifts in health conditions. However, traditional methods often struggle with large, irregularly longitudinal data and fail to account for the…

应用统计 · 统计学 2025-03-13 Yu Luo , Chris Sherlock

This paper discusses infill asymptotics for logistic regression estimators for spatio-temporal point processes whose intensity functions are of log-linear form. We establish strong consistency and asymptotic normality for the parameters of…

统计理论 · 数学 2022-08-26 M. N. M. van Lieshout , C. Lu

Traffic time series imputation is crucial for the safety and reliability of intelligent transportation systems, while diverse types of missing data, including random, fiber, and block missing make the imputation task challenging. Existing…

机器学习 · 计算机科学 2025-11-18 Hanwen Hu , Zimo Wen , Shiyou Qian , Jian Co

We formulate a statistical flight-pause model for human mobility, represented by a collection of random objects, called motions, appropriate for mobile phone tracking (MPT) data. We develop the statistical machinery for parameter inference…

统计方法学 · 统计学 2023-07-04 Marcin Jurek , Catherine A. Calder , Corwin Zigler

In this paper, we investigate Gaussian process regression models where inputs are subject to measurement error. In spatial statistics, input measurement errors occur when the geographical locations of observed data are not known exactly.…

统计方法学 · 统计学 2015-06-30 Daniel Cervone , Natesh S. Pillai

Whenever eye movements are measured, a central part of the analysis has to do with where subjects fixate, and why they fixated where they fixated. To a first approximation, a set of fixations can be viewed as a set of points in space: this…

应用统计 · 统计学 2013-05-23 Simon Barthelmé , Hans Trukenbrod , Ralf Engbert , Felix Wichmann

Spatio-temporal point process (STPP) is a stochastic collection of events accompanied with time and space. Due to computational complexities, existing solutions for STPPs compromise with conditional independence between time and space,…

机器学习 · 计算机科学 2023-06-27 Yuan Yuan , Jingtao Ding , Chenyang Shao , Depeng Jin , Yong Li

Spatio-temporal hierarchical modeling is an extremely attractive way to model the spread of crime or terrorism data over a given region, especially when the observations are counts and must be modeled discretely. The spatio-temporal…

应用统计 · 统计学 2017-09-27 Nicholas J. Clark , Philip M. Dixon

Spatiotemporal data mining plays an important role in air quality monitoring, crowd flow modeling, and climate forecasting. However, the originally collected spatiotemporal data in real-world scenarios is usually incomplete due to sensor…

机器学习 · 计算机科学 2023-02-21 Mingzhe Liu , Han Huang , Hao Feng , Leilei Sun , Bowen Du , Yanjie Fu

In this paper, we propose a Bayesian matrix-variate spatiotemporal modeling framework for jointly analyzing multiple response variables observed at spatial locations over time. The approach relaxes the standard assumption of spatial…

统计方法学 · 统计学 2026-04-23 Rodrigo de Souza Bulhões , Marina Silva Paez , Dani Gamerman

Consider compound Poisson processes with negative drift and no negative jumps, which converge to some spectrally positive L\'evy process with non-zero L\'evy measure. In this paper we study the asymptotic behavior of the local time process,…

概率论 · 数学 2013-05-24 Amaury Lambert , Florian Simatos

We consider a class of doubly weighted rank-based estimating methods for the transformation (or accelerated failure time) model with missing data as arise, for example, in case-cohort studies. The weights considered may not be predictable…

统计理论 · 数学 2009-08-24 Bin Nan , John D. Kalbfleisch , Menggang Yu

We describe the Bedside Patient Rescue (BPR) project, the goal of which is risk prediction of adverse events for non-ICU patients using ~200 variables (vitals, lab results, assessments, ...). There are several missing predictor values for…

We present methodology for estimating the stochastic intensity of a doubly stochastic Poisson process. Statistical and theoretical analyses of traffic traces show that these processes are appropriate models of high intensity traffic…

机器学习 · 统计学 2020-07-24 Ruixin Wang , Prateek Jaiwal , Harsha Honnappa

Spatial Poisson point processes on finite-dimensional Euclidean space provide fundamental mathematical tools for modeling random spatial point patterns. In this paper, we introduce and analyze several Poisson-type spatial point processes.…

概率论 · 数学 2026-01-26 Pradeep Vishwakarma