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We consider an empirical likelihood framework for inference for a statistical model based on an informative sampling design and population-level information. The population-level information is summarized in the form of estimating equations…

Methodology · Statistics 2022-09-07 Sanjay Chaudhuri , Mark S. Handcock , Michael S. Rendall

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

Statistics Theory · Mathematics 2009-03-05 Dong Wang , Song Xi Chen

An informative sampling design leads to the selection of units whose inclusion probabilities are correlated with the response variable of interest. Model inference performed on the resulting observed sample will be biased for the population…

Methodology · Statistics 2018-06-29 Matthew R. Williams , Terrance D. Savitsky

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…

Methodology · Statistics 2021-08-26 Terrance D. Savitsky , Matthew R. Williams

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…

Methodology · Statistics 2020-05-26 Puying Zhao , J. N. K. Rao , Changbao Wu

We address the weighting problem in voluntary samples under a nonignorable sample selection model. Under the assumption that the sample selection model is correctly specified, we can compute a consistent estimator of the model parameter and…

Methodology · Statistics 2023-05-12 Jae Kwang Kim , Kosuke Morikawa

This paper presents a general framework for the estimation of regression models with circular covariates, where the conditional distribution of the response given the covariate can be specified through a parametric model. The estimation of…

Methodology · Statistics 2023-06-06 María Alonso-Pena , Irène Gijbels , Rosa M. Crujeiras

We give a finite-sample analysis of predictive inference procedures after model selection in regression with random design. The analysis is focused on a statistically challenging scenario where the number of potentially important…

Statistics Theory · Mathematics 2009-08-26 Hannes Leeb

The inferential model (IM) framework provides valid prior-free probabilistic inference by focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can be challenging when the auxiliary variable is of higher…

Statistics Theory · Mathematics 2015-01-20 Ryan Martin , Chuanhai Liu

Conventional likelihood-based information criteria for model selection rely on the distribution assumption of data. However, for complex data that are increasingly available in many scientific fields, the specification of their underlying…

Methodology · Statistics 2020-06-25 Chixiang Chen , Ming Wang , Rongling Wu , Runze Li

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

Methodology · Statistics 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

We study inference with a small labeled sample, a large unlabeled sample, and high-quality predictions from an external model. We link prediction-powered inference with empirical likelihood by stacking supervised estimating equations based…

Methodology · Statistics 2025-12-19 Guanghui Wang , Mengtao Wen , Changliang Zou

Fitting mixed models to complex survey data is a challenging problem. Most methods in the literature, including the most widely used one, require a close relationship between the model structure and the survey design. In this paper we…

Methodology · Statistics 2023-11-23 Thomas Lumley , Xudong Huang

Causal inference is crucial for understanding the true impact of interventions, policies, or actions, enabling informed decision-making and providing insights into the underlying mechanisms that shape our world. In this paper, we establish…

Methodology · Statistics 2024-03-26 Jingyue Huang , Changbao Wu , Leilei Zeng

This paper considers an empirical likelihood inference for parameters defined by general estimating equations, when data are missing at random. The efficiency of existing estimators depends critically on correctly specifying the conditional…

Methodology · Statistics 2016-12-06 Tianqing Liu , Xiaohui Yuan , Zhaohai Li , Aiyi Liu

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

Methodology · Statistics 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

Nonresponse is common in surveys. When the response probability of a survey variable $Y$ depends on $Y$ through an observed auxiliary categorical variable $Z$ (i.e., the response probability of $Y$ is conditionally independent of $Y$ given…

Methodology · Statistics 2009-03-04 Fang Fang , Quan Hong , Jun Shao

In this paper, we propose an empirical likelihood-based weighted estimator of regression parameter in quantile regression model with nonignorable missing covariates. The proposed estimator is computationally simple and achieves…

Methodology · Statistics 2017-10-10 Xiaohui Yuan , Xiaogang Dong

In this article we propose a new variable selection method for analyzing data collected from longitudinal sample surveys. The procedure is based on the survey-weighted quadratic inference function, which was recently introduced as an…

Statistics Theory · Mathematics 2021-05-04 Laura Dumitrescu , Wei Qian , J. N. K. Rao

We describe a design-based framework for drawing causal inference in general randomized experiments. Causal effects are defined as linear functionals evaluated at unit-level potential outcome functions. Assumptions about the potential…

Methodology · Statistics 2025-08-15 Christopher Harshaw , Fredrik Sävje , Yitan Wang
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