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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

Motivated by recent works on the high-dimensional logistic regression, we establish that the existence of the maximum likelihood estimate exhibits a phase transition for a wide range of generalized linear models with binary outcome and…

Statistics Theory · Mathematics 2020-12-18 Wenpin Tang , Yuting Ye

The healthcare sector has experienced a rapid accumulation of digital data recently, especially in the form of electronic health records (EHRs). EHRs constitute a precious resource that IS researchers could utilize for clinical applications…

Machine Learning · Computer Science 2024-11-06 Thiti Suttaket , L Vivek Harsha Vardhan , Stanley Kok

Generalized linear models (GLMs) using a regression procedure to fit relationships between predictor and target variables are widely used in automobile insurance data. Here, in the process of ratemaking and in order to compute the premiums…

Applications · Statistics 2016-06-02 J. M. Pérez-Sánchez , E. Gómez-Déniz

Joint models have proven to be an effective approach for uncovering potentially hidden connections between various types of outcomes, mainly continuous, time-to-event, and binary. Typically, longitudinal continuous outcomes are…

This paper describes a method for a model-based analysis of clinical safety data called multivariate Bayesian logistic regression (MBLR). Parallel logistic regression models are fit to a set of medically related issues, or response…

Methodology · Statistics 2012-10-02 William DuMouchel

Labeling patients in electronic health records with respect to their statuses of having a disease or condition, i.e. case or control statuses, has increasingly relied on prediction models using high-dimensional variables derived from…

Methodology · Statistics 2021-10-14 Zijian Guo , Prabrisha Rakshit , Daniel S. Herman , Jinbo Chen

Observed accidents have been the main resource for road safety analysis over the past decades. Although such reliance seems quite straightforward, the rare nature of these events has made safety difficult to assess, especially for new and…

Applications · Statistics 2019-11-22 Joana Cavadas , Carlos Lima Azevedo , Haneen Farah , Ana Ferreira

Quantile regression (QR) relies on the estimation of conditional quantiles and explores the relationships between independent and dependent variables. At high probability levels, classical QR methods face extrapolation difficulties due to…

Statistics Theory · Mathematics 2026-04-16 Lucien M. Vidagbandji , Alexandre Berred , Cyrille Bertelle , Laurent Amanton

In many biological, agricultural, military activity problems and in some quality control problems, it is almost impossible to have a fixed sample size, because some observations are always lost for various reasons. Therefore, the sample…

Statistics Theory · Mathematics 2017-01-24 M. A. Abd Elgawad , A. M. Elsawah , Hong Qin , Ting Yan

Generalized estimating equations (GEE; Liang & Zeger 1986) for general vector regression settings are examined. When the response vectors are of mixed type (e.g. continuous-binary response pairs), the GEE approach is a semiparametric…

Methodology · Statistics 2020-10-08 Alan Huang

A baroclinic model for the atmospheric jet at middle-latitudes is used as a stochastic generator of time series of the total energy of the system. Statistical inference of extreme values is applied to yearly maxima sequences of the time…

Geophysics · Physics 2009-11-11 Mara Felici , Valerio Lucarini , Antonio Speranza , Renato Vitolo

Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the minimum of a set of random variables. This is an important problem for any time-series and has applications in climate, finance, sports, all the way…

Statistical Mechanics · Physics 2015-05-21 Satya N. Majumdar , Arnab Pal

Modelling dependencies between climate extremes is important for climate risk assessment, for instance when allocating emergency management funds. In statistics, multivariate extreme value theory is often used to model spatial extremes.…

Covariate balance is a conventional key diagnostic for methods used estimating causal effects from observational studies. Recently, there is an emerging interest in directly incorporating covariate balance in the estimation. We study a…

Methodology · Statistics 2017-02-14 Qingyuan Zhao , Daniel Percival

Design and analysis of cluster randomized trials must take into account correlation among outcomes from the same clusters. When applying standard generalized estimating equations (GEE), the first-order (e.g. treatment) effects can be…

Methodology · Statistics 2018-04-18 Tom Chen , Eric Tchetgen Tchetgen , Rui Wang

The goal of this paper is to describe the application of quasi-likelihood estimating equations for spatially correlated binary data. In this paper, a logistic function is used to model the marginal probability of binary responses in terms…

Statistics Theory · Mathematics 2007-06-13 Pei-Sheng Lin , Murray K. Clayton

Semi-supervised learning has received increasingly attention in statistics and machine learning. In semi-supervised learning settings, a labeled data set with both outcomes and covariates and an unlabeled data set with covariates only are…

Machine Learning · Statistics 2024-02-26 Zhuojun Quan , Yuanyuan Lin , Kani Chen , Wen Yu

In this work logistic regression when both the response and the predictor variables may be missing is considered. Several existing approaches are reviewed, including complete case analysis, inverse probability weighting, multiple imputation…

The soft-margin support vector machine (SVM) is a ubiquitous tool for prediction of binary-response data. However, the SVM is characterized entirely via a numerical optimization problem, rather than a probability model, and thus does not…

Methodology · Statistics 2020-07-24 Hien D Nguyen , Daniel V Fryer
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