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The density ratio model (DRM) provides a flexible and useful platform for combining information from multiple sources. In this paper, we consider statistical inference under two-sample DRMs with additional parameters defined through and/or…

统计理论 · 数学 2021-03-01 Meng Yuan , Pengfei Li , Changbao Wu

This article presents the formulation and steady-state analysis of the distributed estimation algorithms based on the diffusion cooperation scheme in the presence of errors due to the unreliable data transfer among nodes. In particular, we…

系统与控制 · 计算机科学 2013-10-29 Saeed Ghazanfari-Rad , Fabrice Labeau

Respondent-driven sampling (RDS) is an approach to sampling design and analysis which utilizes the networks of social relationships that connect members of the target population, using chain-referral methods to facilitate sampling. RDS…

统计方法学 · 统计学 2015-08-19 Yakir Berchenko , Jonathan Rosenblatt , Simon D. W. Frost

Effective quantification of uncertainty is an essential and still missing step towards a greater adoption of deep-learning approaches in different applications, including mission-critical ones. In particular, investigations on the…

机器学习 · 计算机科学 2023-04-14 Marco Forgione , Dario Piga

The constrained Cramer-Rao bound (CCRB) is a lower bound on the mean-squared-error (MSE) of estimators that satisfy some unbiasedness conditions. Although the CCRB unbiasedness conditions are satisfied asymptotically by the constrained…

信息论 · 计算机科学 2019-02-20 Eyal Nitzan , Tirza Routtenberg , Joseph Tabrikian

In causal inference, sensitivity models assess how unmeasured confounders could alter causal analyses, but the sensitivity parameter -- which quantifies the degree of unmeasured confounding -- is often difficult to interpret. For this…

统计方法学 · 统计学 2025-09-04 Alec McClean , Zach Branson , Edward H. Kennedy

A very important property of a statistical distribution is to know whether it obeys Gaussian statistics or not. On the one hand, it is of paramount importance in the context of CMB anisotropy studies, since deviations from a Gaussian…

天体物理学 · 物理学 2009-10-31 N. Aghanim , O. Forni , F. R. Bouchet

Many important computer vision applications are naturally formulated as regression problems. Within medical imaging, accurate regression models have the potential to automate various tasks, helping to lower costs and improve patient…

机器学习 · 计算机科学 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

Dynamic assessment of mortality risk in the intensive care unit (ICU) can be used to stratify patients, inform about treatment effectiveness or serve as part of an early-warning system. Static risk scoring systems, such as APACHE or SAPS,…

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. It is assumed that the pre-change distribution is known (accurately estimated), while the only information about the…

统计理论 · 数学 2023-09-29 Liyan Xie , Yuchen Liang , Venugopal V. Veeravalli

Evaluation of a variable Yd from certain measured variable(s) Xi(s), by making use of their system-specific-relationship (SSR), is generally referred as the indirect measurement. Naturally the SSR may stand for a simple data-translation…

数据分析、统计与概率 · 物理学 2009-09-10 B. P. Datta

Distribution system state estimation (DSSE), which provides critical information for system monitoring and control, is being challenged by multiple sources of uncertainties such as random meter errors, stochastic power output of distributed…

系统与控制 · 电气工程与系统科学 2020-02-26 Ying Zhang , Jianhui Wang , Zhengshuo Li

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

统计方法学 · 统计学 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

The increasing distributed and renewable energy resources and controllable devices in distribution systems make fast distribution system state estimation (DSSE) crucial in system monitoring and control. We consider a large multi-phase…

最优化与控制 · 数学 2020-05-22 Xinyang Zhou , Zhiyuan Liu , Yi Guo , Changhong Zhao , Jianqiao Huang , Lijun Chen

Survey data often arises from complex sampling designs, such as stratified or multistage sampling, with unequal inclusion probabilities. When sampling is informative, traditional inference methods yield biased estimators and poor coverage.…

统计方法学 · 统计学 2025-04-17 Snigdha Das , Dipankar Bandyopadhyay , Debdeep Pati

This research leverages Conformal Prediction (CP) in the form of Conformal Predictive Systems (CPS) to accurately estimate uncertainty in a suite of machine learning (ML)-based radio metric models [1] as well as in a 2-D map-based ML path…

机器学习 · 计算机科学 2025-01-14 Alexis Bose , Jonathan Ethier , Ryan G. Dempsey , Yifeng Qiu

Average calibration of the (variance-based) prediction uncertainties of machine learning regression tasks can be tested in two ways: one is to estimate the calibration error (CE) as the difference between the mean absolute error (MSE) and…

机器学习 · 统计学 2024-08-20 Pascal Pernot

Calibrated uncertainty estimates in machine learning are crucial to many fields such as autonomous vehicles, medicine, and weather and climate forecasting. While there is extensive literature on uncertainty calibration for classification,…

机器学习 · 计算机科学 2021-03-16 Eric Zelikman , Christopher Healy , Sharon Zhou , Anand Avati

The objective of this work is to quantify the uncertainty in probability of failure estimates resulting from incomplete knowledge of the probability distributions for the input random variables. We propose a framework that couples the…

统计方法学 · 统计学 2021-10-26 Dimitris G. Giovanis , Michael Shields

Statistical divergences (SDs), which quantify the dissimilarity between probability distributions, are a basic constituent of statistical inference and machine learning. A modern method for estimating those divergences relies on…

统计理论 · 数学 2022-03-30 Sreejith Sreekumar , Ziv Goldfeld