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The paper delineates a proper statistical setting for defining the sampling design for a small area estimation problem. This problem is often treated only via indirect estimation using the values of the variable of interest also from…

统计方法学 · 统计学 2023-03-16 Piero Demetrio Falorsi , Stefano Falorsi , Vincenzo Nardelli , Paolo Righi

Estimation of density functions supported on general domains arises when the data is naturally restricted to a proper subset of the real space. This problem is complicated by typically intractable normalizing constants. Score matching…

统计方法学 · 统计学 2020-09-25 Shiqing Yu , Mathias Drton , Ali Shojaie

Machine learning models are often trained to predict the outcome resulting from a human decision. For example, if a doctor decides to test a patient for disease, will the patient test positive? A challenge is that historical decision-making…

机器学习 · 计算机科学 2024-04-23 Sidhika Balachandar , Nikhil Garg , Emma Pierson

Estimates of population characteristics such as domain means are often expected to follow monotonicity assumptions. Recently, a method to adaptively pool neighboring domains was proposed, which ensures that the resulting domain mean…

统计方法学 · 统计学 2018-04-26 Cristian Oliva-Aviles , Mary C. Meyer , Jean D. Opsomer

We present a new method in problems where estimates are needed for finite population domains with small or even zero sample sizes. In contrast to known estimation methods, an auxiliary information is used to model sizes of population units…

统计理论 · 数学 2014-06-23 Andrius Čiginas , Tomas Rudys

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

统计理论 · 数学 2014-05-06 Piero Barone , Isabella Lari

We obtain a limit of a hierarchical Bayes estimator of a finite population mean when the sample size is large. The limit is in the sense of ordinary calculus, where the sample observations are treated as fixed quantities. Our result…

统计理论 · 数学 2007-08-22 P. Lahiri , Kanchan Mukherjee

The majority of traditional classification ru les minimizing the expected probability of error (0-1 loss) are inappropriate if the class probability distributions are ill-defined or impossible to estimate. We argue that in such cases class…

机器学习 · 统计学 2018-08-14 Robert P. W. Duin , Elzbieta Pekalska

Consider a researcher estimating the parameters of a regression function based on data for all 50 states in the United States or on data for all visits to a website. What is the interpretation of the estimated parameters and the standard…

统计理论 · 数学 2019-06-25 Alberto Abadie , Susan Athey , Guido W. Imbens , Jeffrey M. Wooldridge

The estimation of the total of an attribute defined over a continuous planar domain is required in many applied settings, such as the estimation of canopy coverage in the Monterano Nature Reserve in Italy. If the design-based approach is…

应用统计 · 统计学 2012-03-20 Lucio Barabesi , Sara Franceschi , Marzia Marcheselli

Estimation frameworks for statistical inference are preferred to hypothesis testing when quantifying uncertainty and precise estimation are more valuable than binary decisions about statistical significance. Study design for…

统计方法学 · 统计学 2025-10-29 Luke Hagar , Nathaniel T. Stevens

Network surveys of key populations at risk for HIV are an essential part of the effort to understand how the epidemic spreads and how it can be prevented. Estimation of population values from the sample data has been probematical, however,…

应用统计 · 统计学 2019-09-12 Steve Thompson

Large-scale datasets are increasingly being used to inform decision making. While this effort aims to ground policy in real-world evidence, challenges have arisen as selection bias and other forms of distribution shifts often plague…

统计方法学 · 统计学 2023-11-07 Santiago Cortes-Gomez , Mateo Dulce , Carlos Patino , Bryan Wilder

In order to estimate the population mean in the presence of both non-response and measurement errors that are uncorrelated, the paper presents some novel estimators employing ranked set sampling by utilizing auxiliary information.Up to the…

统计方法学 · 统计学 2023-11-06 Rajesh Singh , Anamika Kumari

Domain-specific constraint patterns are introduced, which form the counterpart to design patterns in software engineering for the constraint programming setting. These patterns describe the expert knowledge and best-practice solution to…

软件工程 · 计算机科学 2022-06-07 Sophia Saller , Jana Koehler

Object counting models suffer when deployed across domains with differing density variety, since density shifts are inherently task-relevant and violate standard domain adaptation assumptions. To address this, we propose a theoretical…

计算机视觉与模式识别 · 计算机科学 2025-11-03 Zhuonan Liang , Dongnan Liu , Jianan Fan , Yaxuan Song , Qiang Qu , Runnan Chen , Yu Yao , Peng Fu , Weidong Cai

Domain generalization aims to learn a model with good generalization ability, that is, the learned model should not only perform well on several seen domains but also on unseen domains with different data distributions. State-of-the-art…

机器学习 · 计算机科学 2023-04-04 Boyang Lyu , Thuan Nguyen , Matthias Scheutz , Prakash Ishwar , Shuchin Aeron

Small area estimation has become an important tool in official statistics, used to construct estimates of population quantities for domains with small sample sizes. Typical area-level models function as a type of heteroscedastic regression,…

统计方法学 · 统计学 2022-09-07 Paul A. Parker , Scott H. Holan , Ryan Janicki

Prediction of a vector of ordered parameters or part of it arises naturally in the context of Small Area Estimation (SAE). For example, one may want to estimate the parameters associated with the top ten areas, the best or worst area, or a…

统计方法学 · 统计学 2012-10-30 Yaakov Malinovsky , Yosef Rinott

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson
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