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Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

Methodology · Statistics 2024-03-25 Lingxiao Wang

Survey weighting allows researchers to account for bias in survey samples, due to unit nonresponse or convenience sampling, using measured demographic covariates. Unfortunately, in practice, it is impossible to know whether the estimated…

Methodology · Statistics 2023-03-07 Erin Hartman , Melody Huang

Protesting mildly against the notion of an exactly correct parametric model the view is adopted that the logistic regression equation is merely an approximation to the underlying, true function. The behaviour of likelihood based estimators…

Statistics Theory · Mathematics 2026-05-27 Nils Lid Hjort

This paper deals with improvement of linear quantile regression, when there are a few distinct values of the covariates but many replicates. On can improve asymptotic efficiency of the estimated regression coefficients by using suitable…

Applications · Statistics 2020-11-30 Kaushik Jana , Debasis Sengupta

Logistic models are studied as a tool to convert output from numerical weather forecasting systems (deterministic and ensemble) into probability forecasts for binary events. A logistic model obtains by putting the logarithmic odds ratio…

Atmospheric and Oceanic Physics · Physics 2009-01-29 Jochen Bröcker

The standard linear and logistic regression models assume that the response variables are independent, but share the same linear relationship to their corresponding vectors of covariates. The assumption that the response variables are…

Machine Learning · Computer Science 2019-10-09 Constantinos Daskalakis , Nishanth Dikkala , Ioannis Panageas

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

Logistic regression is a classical model for describing the probabilistic dependence of binary responses to multivariate covariates. We consider the predictive performance of the maximum likelihood estimator (MLE) for logistic regression,…

Statistics Theory · Mathematics 2026-02-20 Hugo Chardon , Matthieu Lerasle , Jaouad Mourtada

This article addresses the problem of classification method based on both labeled and unlabeled data, where we assume that a density function for labeled data is different from that for unlabeled data. We propose a semi-supervised logistic…

Machine Learning · Statistics 2014-02-20 Shuichi Kawano

In machine learning models, the estimation of errors is often complex due to distribution bias, particularly in spatial data such as those found in environmental studies. We introduce an approach based on the ideas of importance sampling to…

Machine Learning · Computer Science 2023-09-15 Boris Prokhorov , Diana Koldasbayeva , Alexey Zaytsev

In the training of large deep neural networks, there is a need for vast amounts of training data. To meet this need, data is collected from multiple domains, such as Wikipedia and GitHub. These domains are heterogeneous in both data quality…

Machine Learning · Computer Science 2025-11-11 Mahdi Salmani , Pratik Worah , Meisam Razaviyayn , Vahab Mirrokni

Nonparametric regression models offer a way to understand and quantify relationships between variables without having to identify an appropriate family of possible regression functions. Although many estimation methods for these models have…

Methodology · Statistics 2023-04-07 Matias Salibian-Barrera

In clinical settings, we often face the challenge of building prediction models based on small observational data sets. For example, such a data set might be from a medical center in a multi-center study. Differences between centers might…

The popularity of online surveys has increased the prominence of using weights that capture units' probabilities of inclusion for claims of representativeness. Yet, much uncertainty remains regarding how these weights should be employed in…

Methodology · Statistics 2017-08-16 Luke W. Miratrix , Jasjeet S. Sekhon , Alexander G. Theodoridis , Luis F. Campos

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

A common problem in health research is that we have a large database with many variables measured on a large number of individuals. We are interested in measuring additional variables on a subsample; these measurements may be newly…

Methodology · Statistics 2022-03-22 Thomas Lumley , Tong Chen

The linear regression models are widely used statistical techniques in numerous practical applications. The standard regression model requires several assumptions about the regres- sors and the error term. The regression parameters are…

Methodology · Statistics 2016-10-23 P. Vellaisamy

A learned generative model often produces biased statistics relative to the underlying data distribution. A standard technique to correct this bias is importance sampling, where samples from the model are weighted by the likelihood ratio…

Machine Learning · Statistics 2019-11-05 Aditya Grover , Jiaming Song , Alekh Agarwal , Kenneth Tran , Ashish Kapoor , Eric Horvitz , Stefano Ermon

Ordered categorical data frequently arise in the analysis of biomedical, agricultural, and social sciences data. The logistic regression model is attractive in analyzing ordered categorical data because of its use in interpretation of a…

Applications · Statistics 2016-01-08 Ali Reza Fotouhi , Theresa Mulder

Pooled logistic regression models are commonly applied in survival analysis. However, the standard implementation can be computationally demanding, which is further exacerbated when using the nonparametric bootstrap for inference. To ease…

Methodology · Statistics 2025-04-21 Paul N Zivich , Stephen R Cole , Bonnie E Shook-Sa , Justin B DeMonte , Jessie K Edwards