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Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

数据分析、统计与概率 · 物理学 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

Potential violent criminals will often need to go through a sequence of preparatory steps before they can execute their plans. During this escalation process police have the opportunity to evaluate the threat posed by such people through…

机器学习 · 计算机科学 2019-11-06 F. O. Bunnin , J. Q. Smith

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

统计方法学 · 统计学 2026-01-12 Saku Suorsa , Aki Vehtari

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

统计计算 · 统计学 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Peigen Zhou

Big Data often presents as massive non-probability samples. Not only is the selection mechanism often unknown, but larger data volume amplifies the relative contribution of selection bias to total error. Existing bias adjustment approaches…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Carol A. C. Flannagan , Brady T. West , Michael R. Elliott

We propose a cautious Bayesian variable selection routine by investigating the sensitivity of a hierarchical model, where the regression coefficients are specified by spike and slab priors. We exploit the use of latent variables to…

统计方法学 · 统计学 2022-06-20 Tathagata Basu , Matthias C. M. Troffaes , Jochen Einbeck

Collected data, which is used for analysis or prediction tasks, often have a hierarchical structure, for example, data from various people performing the same task. Modeling the data's structure can improve the reliability of the derived…

应用统计 · 统计学 2018-11-12 Dennis Becker

Differential Networks (DNs), tools that encapsulate interactions within intricate systems, are brought under the Bayesian lens in this research. A novel na{\i}ve Bayesian adaptive graphical elastic net (BAE) prior is introduced to estimate…

统计方法学 · 统计学 2023-06-27 J. Smith , A. Bekker , M. Arashi

Deriving Bayesian inference for exponential random graph models (ERGMs) is a challenging "doubly intractable" problem as the normalizing constants of the likelihood and posterior density are both intractable. Markov chain Monte Carlo (MCMC)…

统计计算 · 统计学 2019-11-26 Linda S. L. Tan , Nial Friel

Quasi-Bayesian theory uses convex sets of probability distributions and expected loss to represent preferences about plans. The theory focuses on decision robustness, i.e., the extent to which plans are affected by deviations in subjective…

人工智能 · 计算机科学 2016-11-04 Fabio Gagliardi Cozman , Eric Krotkov

We study methods for simultaneous analysis of many noisy and biased estimates, each paired with an even noisier estimate of its own bias. The analyst's goal is to construct short calibrated intervals for each parameter. The standard…

统计方法学 · 统计学 2026-05-11 Wanyi Ling , Sida Li , Junming Guan , Nikolaos Ignatiadis

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

统计方法学 · 统计学 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

When random effects are correlated with sample design variables, the usual approach of employing individual survey weights (constructed to be inversely proportional to the unit survey inclusion probabilities) to form a pseudo-likelihood no…

统计方法学 · 统计学 2021-08-26 Terrance D. Savitsky , Matthew R. Williams

For studying or reducing the bias of functionals of the Kaplan-Meier survival estimator, the jackknifing approach of Stute and Wang (1994) is natural. We have studied the behavior of the jackknife estimate of bias under different…

统计方法学 · 统计学 2013-12-17 Md Hasinur Rahaman Khan , J. Ewart H. Shaw

This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can…

统计方法学 · 统计学 2025-11-20 Angelos Alexopoulos , Nikolaos Demiris

According to different typologies of activity and priority, risks can assume diverse meanings and it can be assessed in different ways. In general risk is measured in terms of a probability combination of an event (frequency) and its…

物理与社会 · 物理学 2009-11-13 C. E. Bonafede , P. Giudici

Traditional epidemic detection algorithms make decisions using only local information. We propose a novel approach that explicitly models spatial information fusion from several metapopulations. Our method also takes into account…

统计计算 · 统计学 2015-09-15 Michael Ludkovski , Katherine Shatskikh

The NEXT Generation Health study investigates the dating violence of adolescents using a survey questionnaire. Each student is asked to affirm or deny multiple instances of violence in his/her dating relationship. There is, however,…

应用统计 · 统计学 2015-06-02 Kara A. Fulton , Danping Liu , Denise L. Haynie , Paul S. Albert

In the case of informative sampling the sampling scheme explicitly or implicitly depends on the response variable. As a result, the sample distribution of response variable can- not be used for making inference about the population. In this…

应用统计 · 统计学 2016-11-18 Anna Sikov