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Doubly robust estimators combine an inverse probability weighting estimator and a mass imputation estimator. Several doubly robust estimators for estimating the population mean (or prevalence) of an outcome have been proposed for…

统计方法学 · 统计学 2025-08-11 Shaun R Seaman , Tommy Nyberg , Anne M Presanis

We propose Horvitz-Thompson-like and Hajek-like estimators of the total and mean of the values of a variable of interest associated with the elements of a hard-to-reach population sampled by the variant of link-tracing sampling proposed by…

统计方法学 · 统计学 2020-05-25 Martín Humberto Félix Medina

The logistic regression model is one of the most popular data generation model in noisy binary classification problems. In this work, we study the sample complexity of estimating the parameters of the logistic regression model up to a given…

统计理论 · 数学 2024-05-24 Daniel Hsu , Arya Mazumdar

A statistical estimation model with qualitative input provides a mechanism to fuse human intuition in the form of qualitative information into a statistical model. We investigate the statistical properties of this model and devise a…

应用统计 · 统计学 2025-10-21 Seksan Kiatsupaibul , Pariyakorn Maneekul

Public-use survey data are an important source of information for researchers in social science and health studies to build statistical models and make inferences on the target finite population. This paper presents two general inferential…

统计方法学 · 统计学 2020-05-26 Puying Zhao , J. N. K. Rao , Changbao Wu

To understand how the interconnected and interdependent world of the twenty-first century operates and make model-based predictions, joint probability models for networks and interdependent outcomes are needed. We propose a comprehensive…

统计方法学 · 统计学 2025-07-03 Cornelius Fritz , Michael Schweinberger , Subhankar Bhadra , David R. Hunter

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

种群与进化 · 定量生物学 2007-05-23 Thomas Petermann , Paolo De Los Rios

Biomedical studies have a common interest in assessing relationships between multiple related health outcomes and high-dimensional predictors. For example, in reproductive epidemiology, one may collect pregnancy outcomes such as length of…

应用统计 · 统计学 2011-11-24 Bin Zhu , David B. Dunson , Allison E. Ashley-Koch

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

We consider the problem of parametric statistical inference when likelihood computations are prohibitively expensive but sampling from the model is possible. Several so-called likelihood-free methods have been developed to perform inference…

机器学习 · 统计学 2020-09-14 Owen Thomas , Ritabrata Dutta , Jukka Corander , Samuel Kaski , Michael U. Gutmann

Most high-dimensional estimation and prediction methods propose to minimize a cost function (empirical risk) that is written as a sum of losses associated to each data point. In this paper we focus on the case of non-convex losses, which is…

机器学习 · 统计学 2017-01-17 Song Mei , Yu Bai , Andrea Montanari

Survey sampling is concerned with the estimation of finite population parameters. In practice, survey data suffer from item nonresponse, which is commonly handled through imputation, i.e., replacing missing values with predicted values. As…

统计方法学 · 统计学 2026-03-06 Ziming An , Mehdi Dagdoug , David Haziza

We proposed a probabilistic approach to joint modeling of participants' reliability and humans' regularity in crowdsourced affective studies. Reliability measures how likely a subject will respond to a question seriously; and regularity…

机器学习 · 统计学 2017-01-09 Jianbo Ye , Jia Li , Michelle G. Newman , Reginald B. Adams , James Z. Wang

A basic principle in the design of observational studies is to approximate the randomized experiment that would have been conducted under controlled circumstances. Now, linear regression models are commonly used to analyze observational…

统计方法学 · 统计学 2022-07-08 Ambarish Chattopadhyay , Jose R. Zubizarreta

Consider a logistic partially linear model, in which the logit of the mean of a binary response is related to a linear function of some covariates and a nonparametric function of other covariates. We derive simple, doubly robust estimators…

统计方法学 · 统计学 2019-01-29 Zhiqiang Tan

Relational data in its most basic form is a static collection of known facts. However, by learning to infer and deduct additional information and structure, we can massively increase the usefulness of the underlying data. One common form of…

机器学习 · 计算机科学 2019-07-30 Xavier Holt

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

统计方法学 · 统计学 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

Social media provide access to behavioural data at an unprecedented scale and granularity. However, using these data to understand phenomena in a broader population is difficult due to their non-representativeness and the bias of…

计算机与社会 · 计算机科学 2019-05-16 Zijian Wang , Scott A. Hale , David Adelani , Przemyslaw A. Grabowicz , Timo Hartmann , Fabian Flöck , David Jurgens

The Big Data revolution is challenging the state-of-the-art statistical and econometric techniques not only for the computational burden connected with the high volume and speed which data are generated, but even more for the variety of…

统计方法学 · 统计学 2024-10-25 Giuseppe Arbia , Vincenzo Nardelli

We study a data analyst's problem of acquiring data from self-interested individuals to obtain an accurate estimation of some statistic of a population, subject to an expected budget constraint. Each data holder incurs a cost, which is…

计算机科学与博弈论 · 计算机科学 2019-05-15 Yiling Chen , Shuran Zheng