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In low-resource settings, prevalence mapping relies on empirical prevalence data from a finite, often spatially sparse, set of surveys of communities within the region of interest, possibly supplemented by remotely sensed images that can…

Applications · Statistics 2015-05-27 Peter J. Diggle , Emanuele Giorgi

We develop an improvement to conditional logistic regression (CLR) in the setting where the parameter of interest is the additive effect of binary treatment effect on log-odds of the positive level in the binary response. Our improvement is…

Methodology · Statistics 2026-03-03 Jacob Tennenbaum , Adam Kapelner

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

Penalized logistic regression is extremely useful for binary classification with large number of covariates (higher than the sample size), having several real life applications, including genomic disease classification. However, the…

Methodology · Statistics 2023-04-10 Ayanendranath Basu , Abhik Ghosh , María Jaenada , Leandro Pardo

We consider the on-line predictive version of the standard problem of linear regression; the goal is to predict each consecutive response given the corresponding explanatory variables and all the previous observations. The standard…

Statistics Theory · Mathematics 2009-06-18 Vladimir Vovk , Ilia Nouretdinov , Alex Gammerman

Point estimation of class prevalences in the presence of data set shift has been a popular research topic for more than two decades. Less attention has been paid to the construction of confidence and prediction intervals for estimates of…

Machine Learning · Statistics 2019-07-23 Dirk Tasche

In randomized controlled trials, ordinal outcomes typically improve statistical efficiency over binary outcomes. The treatment effect on an ordinal outcome is usually described by the odds ratio from a proportional odds model, but this…

Methodology · Statistics 2026-01-01 Lindsey E. Turner , Carolyn T. Bramante , Thomas A. Murray

In many predictive tasks, there are a large number of true predictors with weak signals, leading to substantial uncertainties in prediction outcomes. The polygenic risk score (PRS) is an example of such a scenario, where many genetic…

Methodology · Statistics 2024-12-31 Haoxuan Fu , Jiaoyang Huang , Zirui Fan , Bingxin Zhao

Risk estimation is at the core of many learning systems. The importance of this problem has motivated researchers to propose different schemes, such as cross validation, generalized cross validation, and Bootstrap. The theoretical…

Statistics Theory · Mathematics 2021-01-19 Ji Xu , Arian Maleki , Kamiar Rahnama Rad , Daniel Hsu

The selection of essential variables in logistic regression is vital because of its extensive use in medical studies, finance, economics and related fields. In this paper, we explore four main typologies (test-based, penalty-based,…

Methodology · Statistics 2022-05-17 Souvik Bag , Kapil Gupta , Soudeep Deb

Selective prediction [Dru13, QV19] models the scenario where a forecaster freely decides on the prediction window that their forecast spans. Many data statistics can be predicted to a non-trivial error rate without any distributional…

Machine Learning · Computer Science 2025-08-14 Licheng Liu , Mingda Qiao

In this paper, we propose improved estimation method for logistic regression based on subsamples taken according the optimal subsampling probabilities developed in Wang et al. 2018 Both asymptotic results and numerical results show that the…

Methodology · Statistics 2021-06-24 HaiYing Wang

The study of the dynamics of the size of a population via mathematical modelling is a problem of interest and widely studied. Traditionally, continuous deterministic methods based on differential equations have been used to deal with this…

Probability · Mathematics 2020-01-08 J. -C. Cortés , A. Navarro-Quiles , J. -V. Romero , M. -D. Roselló

We introduce a new private regression setting we call Private Regression in Multiple Outcomes (PRIMO), inspired by the common situation where a data analyst wants to perform a set of $l$ regressions while preserving privacy, where the…

Machine Learning · Computer Science 2025-01-16 Seth Neel

The use of the proportional odds (PO) model for ordinal regression is ubiquitous in the literature. If the assumption of parallel lines does not hold for the data, then an alternative is to specify a non-proportional odds (NPO) model, where…

Methodology · Statistics 2015-03-27 Trevelyan J. McKinley , Michelle Morters , James L. N. Wood

To segment a sequence of independent random variables at an unknown number of change-points, we introduce new procedures that are based on thresholding the likelihood ratio statistic. We also study confidence regions based on the likelihood…

Statistics Theory · Mathematics 2018-10-16 Xiao Fang , Jian Li , David Siegmund

Several key metrics in public health convey the probability that a primary event will lead to a more serious secondary event in the future. These "severity rates" can change over the course of an epidemic in response to shifting conditions…

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

Statistics Theory · Mathematics 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

In this work, we introduce a modified (rescaled) likelihood for imbalanced logistic regression. This new approach makes easier the use of exponential priors and the computation of lasso regularization path. Precisely, we study a limiting…

Methodology · Statistics 2018-04-19 Vincent Runge

This paper attempts to answer a "simple question" in building predictive models using machine learning algorithms. Although diagnostic and predictive models for various diseases have been proposed using data from large cohort studies and…

Machine Learning · Computer Science 2024-09-04 Isao Goto