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Hierarchical models represent a challenging setting for inference algorithms. MCMC methods struggle to scale to large models with many local variables and observations, and variational inference (VI) may fail to provide accurate…

机器学习 · 计算机科学 2022-07-27 Tomas Geffner , Justin Domke

We consider random forests and LASSO methods for model-based small area estimation when the number of areas with sampled data is a small fraction of the total areas for which estimates are required. Abundant auxiliary information is…

Disease mapping attempts to explain observed health event counts across areal units, typically using Markov random field models. These models rely on spatial priors to account for variation in raw relative risk or rate estimates. Spatial…

统计方法学 · 统计学 2025-10-03 Garazi Retegui , Alan E. Gelfand , Jaione Etxeberria , María Dolores Ugarte

Using sample surveys as a cost effective tool to provide estimates for characteristics of interest at population and sub-populations (area/domain) level has a long tradition in "small area estimation". However, the existence of outliers in…

统计方法学 · 统计学 2021-01-13 Setareh Ranjbar , Elvezio Ronchetti , Stefan Sperlich

An innovative sampling strategy is proposed, which applies to large-scale population-based surveys targeting a rare trait that is unevenly spread over a geographical area of interest. Our proposal is characterised by the ability to tailor…

统计方法学 · 统计学 2020-04-07 Fulvia Mecatti , Charalambos Sismanidis , Emanuela Furfaro

Multilevel regression and poststratification (MRP) is a computationally efficient indirect estimation method that can quickly produce improved population-adjusted estimates with limited data. Recent computational advancements allow…

应用统计 · 统计学 2025-05-07 Aja Sutton , Zack W. Almquist , Jon Wakefield

Prevalence mapping in low resource settings is an increasingly important endeavor to guide policy making and to spatially and temporally characterize the burden of disease. We will focus our discussion on consideration of the complex design…

统计方法学 · 统计学 2016-08-15 Jon Wakefield , Daniel Simpson , Jessica Godwin

Self-exciting spatiotemporal Hawkes processes have found increasing use in the study of large-scale public health threats ranging from gun violence and earthquakes to wildfires and viral contagion. Whereas many such applications feature…

统计方法学 · 统计学 2021-07-14 Andrew J. Holbrook , Xiang Ji , Marc A. Suchard

This paper considers the problem of computing Bayesian estimates of both states and model parameters for nonlinear state-space models. Generally, this problem does not have a tractable solution and approximations must be utilised. In this…

机器学习 · 统计学 2020-12-15 Jarrad Courts , Johannes Hendriks , Adrian Wills , Thomas Schön , Brett Ninness

Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

统计方法学 · 统计学 2020-08-11 Raphaël Jauslin , Yves Tillé

The widespread availability of high-dimensional biological data has made the simultaneous screening of many biological characteristics a central problem in computational biology and allied sciences. While the dimensionality of such datasets…

统计方法学 · 统计学 2023-03-10 Nima S. Hejazi , Philippe Boileau , Mark J. van der Laan , Alan E. Hubbard

Vertically weighted averages perform a bilateral filtering of data, in order to preserve fine details of the underlying signal, especially discontinuities such as jumps (in dimension one) or edges (in dimension two). In homogeneous regions…

统计方法学 · 统计学 2018-03-20 Ansgar Steland

The focus of modern biomedical studies has gradually shifted to explanation and estimation of joint effects of high dimensional predictors on disease risks. Quantifying uncertainty in these estimates may provide valuable insight into…

统计方法学 · 统计学 2021-03-09 Zhe Fei , Yi Li

In the geosciences, a recurring problem is one of estimating spatial means of a physical field using weighted averages of point observations. An important variant is when individual observations are counted with some probability less than…

统计理论 · 数学 2023-04-11 Ashwin K Seshadri

In this paper we propose a wavelet-based methodology for estimation and variable selection in partially linear models. The inference is conducted in the wavelet domain, which provides a sparse and localized decomposition appropriate for…

统计方法学 · 统计学 2016-09-26 Norbert Remenyi

To date, we have seen the emergence of a large literature on multivariate disease mapping. That is, incidence of (or mortality from) multiple diseases is recorded at the scale of areal units where incidence (mortality) across the diseases…

统计方法学 · 统计学 2026-04-17 Garazi Retegui , María Dolores Ugarte , Jaione Etxeberria , Alan E. Gelfand

We propose and illustrate a hierarchical Bayesian approach for matching statistical records observed on different occasions. We show how this model can be profitably adopted both in record linkage problems and in capture--recapture setups,…

应用统计 · 统计学 2011-07-29 Andrea Tancredi , Brunero Liseo

A variance reduction technique in nonparametric smoothing is proposed: at each point of estimation, form a linear combination of a preliminary estimator evaluated at nearby points with the coefficients specified so that the asymptotic bias…

统计理论 · 数学 2007-08-22 Ming-Yen Cheng , Liang Peng , Jyh-Shyang Wu

The Cox regression model is a commonly used model in survival analysis. In public health studies, clinical data are often collected from medical service providers of different locations. There are large geographical variations in the…

应用统计 · 统计学 2021-07-30 Jinjian Mu , Qingyang Liu , Lynn Kuo , Guanyu Hu

Small-area mortality estimation is inherently difficult, as random fluctuations from low death counts can obscure real geographic differences. We introduce a flexible model that borrows strength across age, space, and time to estimate…

应用统计 · 统计学 2025-11-25 Jacob Martin , Carlo Giovanni Camarda