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Parameter estimation is a foundational step in statistical modeling, enabling us to extract knowledge from data and apply it effectively. Bayesian estimation of parameters incorporates prior beliefs with observed data to infer distribution…

统计方法学 · 统计学 2025-06-24 Fahad Mostafa , Md Rejuan Haque , Md Mostafijur Rahman , Farzana Nasrin

Laplacian-P-splines (LPS) associate the P-splines smoother and the Laplace approximation in a unifying framework for fast and flexible inference under the Bayesian paradigm. Gaussian Markov field priors imposed on penalized latent variables…

统计方法学 · 统计学 2023-09-18 Philippe Lambert , Oswaldo Gressani

Considering the flexibility and applicability of Bayesian modeling, in this work we revise the main characteristics of two hierarchical models in a regression setting. We study the full probabilistic structure of the models along with the…

统计方法学 · 统计学 2021-10-22 Juan Sosa , Jeimy Aristizabal

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

The Leaf Area Index (LAI) is a critical parameter to understand ecosystem health and vegetation dynamics. In this paper, we propose a novel method for pixel-wise LAI prediction by leveraging the complementary information from Sentinel 1…

计算机视觉与模式识别 · 计算机科学 2026-05-22 Clement Wang , Antoine Debouchage , Valentin Goldité , Aurélien Wery , Jules Salzinger

We introduce a general hierarchical Bayesian framework that incorporates a flexible nonparametric data model specification through the use of empirical likelihood methodology, which we term semiparametric hierarchical empirical likelihood…

统计方法学 · 统计学 2014-05-16 Aaron T. Porter , Scott H. Holan , Christopher K. Wikle

An approach to land surface temperature (LST) estimation that relies upon Bayesian inference has been tested against multiband infrared radiometric imagery from the Terra MODIS instrument. Bayesian LST estimators are shown to reproduce…

数据分析、统计与概率 · 物理学 2010-01-22 J. A. Morgan

This paper proposes a two-stage estimation approach for a spatial misalignment scenario that is motivated by the epidemiological problem of linking pollutant exposures and health outcomes. We use the integrated nested Laplace approximation…

统计方法学 · 统计学 2022-07-21 Stephen Jun Villejo , Janine B Illian , Ben Swallow

Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

信号处理 · 电气工程与系统科学 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

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

We introduce Bayesian hierarchical models for predicting high-dimensional tabular survey data which can be distributed from one or multiple classes of distributions (e.g., Gaussian, Poisson, Binomial, etc.). We adopt a Bayesian…

统计方法学 · 统计学 2022-11-18 Saikat Nandy , Scott H. Holan , Jonathan R. Bradley , Christopher K. Wikle

Bayesian analysis plays a crucial role in estimating distribution of unknown parameters for given data and model. Due to the curse of dimensionality, it becomes difficult for high-dimensional problems, especially when multiple modes exist.…

统计方法学 · 统计学 2025-07-18 Zihan Liao , Binbin Li , Hua-Ping Wan

Stochastic reduced models are an important tool in climate systems whose many spatial and temporal scales cannot be fully discretized or underlying physics may not be fully accounted for. One form of reduced model, the linear inverse model…

统计方法学 · 统计学 2020-04-29 Dallas Foster , Darin Comeau , Nathan M. Urban

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

统计方法学 · 统计学 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

Accurate information on the distribution of vegetation species is used as a proxy for the health of an ecosystem, a currency of international environmental treaties, and a necessary planning tool for forest preservation and rehabilitation,…

统计方法学 · 统计学 2023-09-20 Henry Scharf , Jonathan Schierbaum , Hana Matsumoto , Tim Assal

Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a logically consistent way in inference and prediction. By…

机器学习 · 统计学 2026-02-11 Erdong Guo , David Draper

We apply a linear Bayesian model to seismic tomography, a high-dimensional inverse problem in geophysics. The objective is to estimate the three-dimensional structure of the earth's interior from data measured at its surface. Since this…

应用统计 · 统计学 2013-12-11 Ran Zhang , Claudia Czado , Karin Sigloch

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

统计方法学 · 统计学 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

This paper proposes a multi-spectral random forest classifier with suitable feature selection and masking for tree cover estimation in urban areas. The key feature of the proposed classifier is filtering out the built-up region using…

计算机视觉与模式识别 · 计算机科学 2023-06-12 Usman Nazir , Momin Uppal , Muhammad Tahir , Zubair Khalid

The paper addresses the problem of estimation of the model parameters of the logistic exponential distribution based on progressive type-I hybrid censored sample. The maximum likelihood estimates are obtained and computed numerically using…

应用统计 · 统计学 2023-02-13 Subhankar Dutta , Suchandan Kayal
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