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The ability to infer map variables and estimate pose is crucial to the operation of autonomous mobile robots. In most cases the shared dependency between these variables is modeled through a multivariate Gaussian distribution, but there are…

机器人学 · 计算机科学 2020-08-04 John D. Martin , Kevin Doherty , Caralyn Cyr , Brendan Englot , John Leonard

We develop new flexible univariate models for light-tailed and heavy-tailed data, which extend a hierarchical representation of the generalized Pareto (GP) limit for threshold exceedances. These models can accommodate departure from…

统计方法学 · 统计学 2020-09-14 Rishikesh Yadav , Raphaël Huser , Thomas Opitz

Spatial association measures for univariate static spatial data are widely used. When the data is in the form of a collection of spatial vectors with the same temporal domain of interest, we construct a measure of similarity between the…

统计方法学 · 统计学 2023-09-26 Divya Kappara , Arup Bose , Madhuchhanda Bhattacharjee

Spatial dependence, referring to the correlation between variable values observed at different geographic locations, is one of the most fundamental characteristics of spatial data. The presence of spatial dependence violates the classical…

物理与社会 · 物理学 2025-06-23 Chuan Chen , Peng Luo

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

Prediction is a classic challenge in spatial statistics and the inclusion of spatial covariates can greatly improve predictive performance when incorporated into a model with latent spatial effects. It is desirable to develop flexible…

统计方法学 · 统计学 2025-02-24 Alex Ziyu Jiang , Jon Wakefield

As with the advancement of geographical information systems, non-Gaussian spatial data sets are getting larger and more diverse. This study develops a general framework for fast and flexible non-Gaussian regression, especially for…

统计方法学 · 统计学 2021-06-23 Daisuke Murakami , Mami Kajita , Seiji Kajita , Tomoko Matsui

The classical multilevel model fails to capture the proximity effect in epidemiological studies, where subjects are nested within geographical units. Multilevel Conditional Autoregressive models are alternatives to help explain the spatial…

统计方法学 · 统计学 2021-11-24 Dany Djeudeu , Susanne Moebus , Katja Ickstadt

Although spatial models for areal data are widely used in multilevel settings, the conditions under which spatial and nonspatial random effects yield equivalent posterior inference for regression coefficients have never been formally…

统计方法学 · 统计学 2026-05-12 Shuqi Lin , Joshua L. Warren

We propose a flexible Bayesian approach for estimating the joint density of a multivariate outcome of interest in the presence of categorical covariates. Leveraging a Gaussian copula framework, our method effectively captures the dependence…

统计方法学 · 统计学 2026-04-10 Giovanni Toto , Peter Müller , Abhra Sarkar

Hierarchical spatial models are very flexible and popular for a vast array of applications in areas such as ecology, social science, public health, and atmospheric science. It is common to carry out Bayesian inference for these models via…

统计计算 · 统计学 2021-05-17 Ben Seiyon Lee , Murali Haran

Environmental phenomena are influenced by complex interactions among various factors. For instance, the amount of rainfall measured at different stations within a given area is shaped by atmospheric conditions, orography, and physics of…

应用统计 · 统计学 2025-01-16 Paolo Onorati , Antonio Canale

A reliable short-term transportation demand prediction supports the authorities in improving the capability of systems by optimizing schedules, adjusting fleet sizes, and generating new transit networks. A handful of research efforts…

人工智能 · 计算机科学 2024-08-26 Sumin Han , Jisun An , Youngjun Park , Suji Kim , Kitae Jang , Dongman Lee

Quantifying spatial and/or temporal associations in multivariate geolocated data of different types is achievable via spatial random effects in a Bayesian hierarchical model, but severe computational bottlenecks arise when spatial…

统计方法学 · 统计学 2024-04-02 Michele Peruzzi , David B. Dunson

The statistical modeling of multivariate count data observed on a space-time lattice has generally focused on using a hierarchical modeling approach where space-time correlation structure is placed on a continuous, latent, process. The…

应用统计 · 统计学 2021-02-16 Nicholas J Clark , Philip M. Dixon

Spatial generalized linear mixed-effects models are popularly used to analyze spatially indexed univariate responses. However, with modern technology, it is common to observe vector-valued mixed-type responses, e.g., a combination of…

统计方法学 · 统计学 2026-04-23 Arghya Mukherjee , Arnab Hazra , Dootika Vats

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

统计方法学 · 统计学 2024-12-02 Lucas Kock , Nadja Klein

The paper proposes a Bayesian multinomial logit model to analyse spatial patterns of urban expansion. The specification assumes that the log-odds of each class follow a spatial autoregressive process. Using recent advances in Bayesian…

计量经济学 · 经济学 2020-08-04 Tamás Krisztin , Philipp Piribauer , Michael Wögerer

We develop a class of nearest-neighbor mixture models that provide direct, computationally efficient, probabilistic modeling for non-Gaussian geospatial data. The class is defined over a directed acyclic graph, which implies conditional…

统计方法学 · 统计学 2022-06-28 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

This paper describes a new algorithm for hyperspectral image unmixing. Most of the unmixing algorithms proposed in the literature do not take into account the possible spatial correlations between the pixels. In this work, a Bayesian model…

统计方法学 · 统计学 2012-09-05 Olivier Eches , Nicolas Dobigeon , Jean-Yves Tourneret