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Markov chain geostatistics is a methodology for simulating categorical fields. Its fundamental model for conditional simulation is the Markov chain random field (MCRF) model, and its basic spatial correlation measure is the transiogram.…

应用统计 · 统计学 2021-12-20 Bo Zhang , Weidong Li , Chuanrong Zhang

We study Spatial Logistic Gaussian Process (SLGP) models for non-parametric estimation of probability density fields using scattered samples of heterogeneous sizes. SLGPs are examined from the perspective of random measures and their…

统计理论 · 数学 2025-02-20 Athénaïs Gautier , David Ginsbourger

Autonomous agents rely on sensor data to construct representations of their environments, essential for predicting future events and planning their actions. However, sensor measurements suffer from limited range, occlusions, and sensor…

机器人学 · 计算机科学 2025-01-09 José Manuel Gaspar Sánchez , Leonard Bruns , Jana Tumova , Patric Jensfelt , Martin Törngren

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

统计方法学 · 统计学 2015-09-15 Mark D. Risser , Catherine A. Calder

Multivariate spatial fields are of interest in many applications, including climate model emulation. Not only can the marginal spatial fields be subject to nonstationarity, but the dependence structure among the marginal fields and between…

统计方法学 · 统计学 2023-11-21 Paul F. V. Wiemann , Matthias Katzfuss

Positive semi-definite kernels are used to induce pseudo-metrics, or ``distances'', between measures. We write these as an expected quadratic variation of, or expected inner product between, a random field and the difference of measures.…

概率论 · 数学 2025-05-30 Ian Langmore

So far, the pseudo cross-variogram is primarily used as a tool for the structural analysis of multivariate random fields. Mainly applying recent theoretical results on the pseudo cross-variogram, we use it as a cornerstone in the…

统计理论 · 数学 2022-07-07 Christopher Dörr , Martin Schlather

This paper presents a study of the properties of a matrix model that was introduced to describe transitions between all Wigner surmises of Random Matrix theory. New results include closed-form exact analytical expressions for the…

数学物理 · 物理学 2012-03-01 Fredy Zypman

The modeling of risk situations that occur in a space-time framework can be done using max-stable random fields on lattices. Although the summary coefficients for the spatial and temporal behaviour do not characterize the finite-dimensional…

统计理论 · 数学 2020-02-14 Helena Ferreira , Marta Ferreira , Luís A. Alexandre

A generator of spatio-temporal pseudo-random Gaussian fields that satisfy the "proportionality of scales" property (Tsyroulnikov, 2001) is presented. The generator is based on a third-order in time stochastic differential equation with a…

数据分析、统计与概率 · 物理学 2018-05-15 Michael Tsyrulnikov , Dmitry Gayfulin

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

统计方法学 · 统计学 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

统计方法学 · 统计学 2025-08-08 Tomotaka Momozaki , Shonosuke Sugasawa , Tomoyuki Nakagawa , Hiroko Kato Solvang , Sam Subbey

The analysis of GPS trajectories is a well-studied problem in Urban Computing and has been used to track people. Analyzing people mobility and identifying the transportation mode used by them is essential for cities that want to reduce…

机器学习 · 计算机科学 2020-07-20 I. Cardoso-Pereira , J. B. Borges , P. H. Barros , A. F. Loureiro , O. A. Rosso , H. S. Ramos

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

统计方法学 · 统计学 2019-10-02 Behnaz Pirzamanbein

Predicting the future motion of vehicles has been studied using various techniques, including stochastic policies, generative models, and regression. Recent work has shown that classification over a trajectory set, which approximates…

机器学习 · 计算机科学 2021-01-15 Freddy A. Boulton , Elena Corina Grigore , Eric M. Wolff

Despite continued efforts to improve classification accuracy, it has been reported that offline accuracy is a poor indicator of the usability of pattern recognition-based myoelectric control. One potential source of this disparity is the…

信号处理 · 电气工程与系统科学 2024-11-15 Shriram Tallam Puranam Raghu , Dawn T. MacIsaac , Erik J. Scheme

With the growing application of spatial predictive modeling in ecology, the question of how to appropriately evaluate the resulting maps has gained increasing attention. While there is consensus that map accuracy is ideally estimated using…

统计方法学 · 统计学 2026-05-14 Jan Linnenbrink , Jakub Nowosad , Hanna Meyer

A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and negative binomial model, as well as to more general models accounting for excess zeros that…

统计方法学 · 统计学 2020-03-30 Moritz Berger , Gerhard Tutz

In this work we present full Bayesian inference for a new flexible nonseparable class of cross-covariance functions for multivariate spatial data. A Bayesian test is proposed for separability of covariance functions which is much more…

统计方法学 · 统计学 2017-07-24 Rafael S. Erbisti , Thais C. O. Fonseca , Mariane B. Alves

Multivariate spatial field data are increasingly common and whose modeling typically relies on building cross-covariance functions to describe cross-process relationships. An alternative viewpoint is to model the matrix of spectral…

统计理论 · 数学 2015-05-07 William Kleiber
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