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Bayesian approaches for handling covariate measurement error are well established, and yet arguably are still relatively little used by researchers. For some this is likely due to unfamiliarity or disagreement with the Bayesian inferential…

统计方法学 · 统计学 2017-08-01 Jonathan W. Bartlett , Ruth H. Keogh

Conformal prediction has emerged as a popular technique for facilitating valid predictive inference across a spectrum of machine learning models, under minimal assumption of exchangeability. Recently, Hoff (2023) showed that full conformal…

统计理论 · 数学 2025-11-24 Pankaj Bhagwat , Linglong Kong , Bei Jiang

In this paper, we identify the criteria for the selection of the minimal and most efficient covariate adjustment sets for the regression calibration method developed by Carroll, Rupert and Stefanski (CRS, 1992), used to correct bias due to…

统计方法学 · 统计学 2024-01-17 Wenze Tang , Donna Spiegelman , Yujie Wu , Molin Wang

Successful pharmaceutical drug development requires finding correct doses that provide an optimum balance between efficacy and toxicity. Competing responses to dose such as efficacy and toxicity often will increase with dose, and it is…

应用统计 · 统计学 2024-01-26 A. Lawrence Gould

Background: We proposed approximate Bayesian computation with single distribution selection (ABC-SD) for estimating mean and standard deviation from other reported summary statistics. The ABC-SD generates pseudo data from a single…

统计方法学 · 统计学 2016-07-12 Deukwoo Kwon , Isildinha M. Reis

Regression calibration is a popular approach for correcting biases in estimated regression parameters when exposure variables are measured with error. This approach involves building a calibration equation to estimate the value of the…

Penalized likelihood and quasi-likelihood methods dominate inference in high-dimensional linear mixed-effects models. Sampling-based Bayesian inference is less explored due to the computational bottlenecks introduced by the random effects…

统计方法学 · 统计学 2025-07-24 Sreya Sarkar , Kshitij Khare , Sanvesh Srivastava

Insurance products frequently cover significant claims arising from a variety of sources. To model losses from these products accurately, actuarial models must account for high-severity claims. A widely used strategy is to apply a mixture…

统计方法学 · 统计学 2025-04-30 Sébastien Jessup , Mélina Mailhot , Mathieu Pigeon

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

统计方法学 · 统计学 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

In safety-critical applications data-driven models must not only be accurate but also provide reliable uncertainty estimates. This property, commonly referred to as calibration, is essential for risk-aware decision-making. In regression a…

机器学习 · 计算机科学 2026-04-23 Jelke Wibbeke , Nico Schönfisch , Sebastian Rohjans , Andreas Rauh

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

统计方法学 · 统计学 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

This article studies Bayesian model averaging (BMA) in the context of competing expensive computer models in a typical nuclear physics setup. While it is well known that BMA accounts for the additional uncertainty of the model itself, we…

统计方法学 · 统计学 2019-08-26 Vojtech Kejzlar , Léo Neufcourt , Taps Maiti , Frederi Viens

Most conventional risk analysis methods rely on a single best estimate of exposure per person which does not allow for adjustment for exposure-related uncertainty. Here, we propose a Bayesian model averaging method to properly quantify the…

应用统计 · 统计学 2020-04-07 Deukwoo Kwon , F. Owen Hoffman , Brian E. Moroz , Steven L. Simon

A new approach for Bayesian model averaging (BMA) and selection is proposed, based on the mixture model approach for hypothesis testing in Kaniav et al., 2014. Inheriting from the good properties of this approach, it extends BMA to cases…

统计方法学 · 统计学 2018-08-02 Merlin Keller , Kaniav Kamary

This paper introduces \emph{biased mean regression}, estimating the \emph{biased mean}, i.e., $\mathbb{E}[Y] + x$, where $x \in \mathbb{R}$. The approach addresses a fundamental statistical problem that covers numerous applications. For…

应用统计 · 统计学 2026-03-31 Anton Malandii , Stan Uryasev

Sensitivity analysis for measurement error can be applied in the absence of validation data by means of regression calibration and simulation-extrapolation. These have not been compared for this purpose. A simulation study was conducted…

应用统计 · 统计学 2021-06-09 Linda Nab , Rolf H. H. Groenwold

Model uncertainty is a central challenge in statistical models for binary outcomes such as logistic regression, arising when it is unclear which predictors should be included in the model. Many methods have been proposed to address this…

To ensure agreement between theoretical calculations and experimental data, parameters to selected nuclear physics models, are perturbed, and fine-tuned in nuclear data evaluations. This approach assumes that the chosen set of models…

核理论 · 物理学 2024-02-23 E. Alhassan , D. Rochman , G. Schnabel , A. J. Koning

An important objective in biomedical risk assessment is estimation of minimum exposure levels that induce a pre-specified adverse response in a target population. The exposure/dose points in such settings are known as Benchmark Doses…

统计方法学 · 统计学 2014-02-18 Qijun Fang , Walter W. Piegorsch , Susan J. Simmons , Xiaosong Li , Cuixian Chen , Yishi Wang

Regression calibration as developed by Rosner, Spiegelman and Willet is used to correct the bias in effect estimates due to measurement error in continuous exposures. The method involves two models: a measurement error model (MEM) relating…

统计方法学 · 统计学 2026-02-24 Wenze Tang , Donna Spiegelman , Xiaomei Liao , Molin Wang
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