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The conventional use of the Generalized Extreme Value (GEV) distribution to model block maxima may be inappropriate when extremes are actually structured into multiple heterogeneous groups. In this work, we propose a novel approach for…

Statisticians often face the choice between using probability models or a paradigm defined by minimising a loss function. Both approaches are useful and, if the loss can be re-cast into a proper probability model, there are many tools to…

Methodology · Statistics 2022-03-29 Jack Jewson , David Rossell

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

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…

Methodology · Statistics 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

Credible causal effect estimation requires treated subjects and controls to be otherwise similar. In observational settings, such as analysis of electronic health records, this is not guaranteed. Investigators must balance background…

Methodology · Statistics 2024-07-11 Lauren D. Liao , Samuel D. Pimentel

Logistic regression is key method for modeling the probability of a binary outcome based on a collection of covariates. However, the classical formulation of logistic regression relies on the independent sampling assumption, which is often…

Statistics Theory · Mathematics 2024-09-25 Somabha Mukherjee , Ziang Niu , Sagnik Halder , Bhaswar B. Bhattacharya , George Michailidis

Extreme value (EV) statistics of correlated systems are widely investigated in many fields, spanning the spectrum from weather forecasting to earthquake prediction. Does the unavoidable discrete sampling of a continuous correlated…

Statistical Mechanics · Physics 2022-08-29 Lior Zarfaty , Eli Barkai , David A. Kessler

This paper studies a very flexible model that can be used widely to analyze the relation between a response and multiple covariates. The model is nonparametric, yet renders easy interpretation for the effects of the covariates. The model…

Statistics Theory · Mathematics 2012-10-18 Young K. Lee , Enno Mammen , Byeong U. Park

This paper unifies and extends results on a class of multivariate Extreme Value (EV) models studied by Hougaard, Crowder, and Tawn. In these models both unconditional and conditional distributions are EV, and all lower-dimensional marginals…

Methodology · Statistics 2013-09-30 Anne-Laure Fougères , John P. Nolan , Holger Rootzén

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

We address regularised versions of the Expectation-Maximisation (EM) algorithm for Generalised Linear Mixed Models (GLMM) in the context of panel data (measured on several individuals at different time-points). A random response y is…

Methodology · Statistics 2019-08-21 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

We employ distribution regression (DR) to estimate the joint distribution of two outcome variables conditional on chosen covariates. While Bivariate Distribution Regression (BDR) is useful in a variety of settings, it is particularly…

Classical penalized likelihood regression problems deal with the case that the independent variables data are known exactly. In practice, however, it is common to observe data with incomplete covariate information. We are concerned with a…

Methodology · Statistics 2010-08-04 Xiwen Ma , Bin Dai , Ronald Klein , Barbara E. K. Klein , Kristine E. Lee , Grace Wahba

It is increasingly of interest in statistical genetics to test for the presence of a mechanistic interaction between genetic (G) and environmental (E) risk factors by testing for the presence of an additive GxE interaction. In case-control…

Methodology · Statistics 2018-08-21 Eric J. Tchetgen Tchetgen , Xu Shi , Tamar Sofer , Benedict H. W. Wong

Writing data in parallel is a common operation in some computing environments and a good proxy for a number of other parallel processing patterns. The duration of time taken to write data in large-scale compute environments can vary…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-12 R. Henwood , N. W. Watkins , S. C. Chapman , R. McLay

Ensuring safety is a critical challenge in applying Reinforcement Learning (RL) to real-world scenarios. Constrained Reinforcement Learning (CRL) addresses this by maximizing returns under predefined constraints, typically formulated as the…

Machine Learning · Computer Science 2026-01-21 Shiqing Gao , Yihang Zhou , Shuai Shao , Haoyu Luo , Yiheng Bing , Jiaxin Ding , Luoyi Fu , Xinbing Wang

A fundamental research question is how much a variation in a covariate influences a binary response variable in a logistic regression model, both directly or through mediators. We derive the exact formula linking the parameters of marginal…

Statistics Theory · Mathematics 2019-05-20 Elena Stanghellini , Marco Doretti

We propose a comprehensive Bayesian joint modeling framework for zero-inflated longitudinal count data and time-to-event outcomes, explicitly incorporating a cure fraction to account for subjects who never experience the event. The…

Methodology · Statistics 2025-08-27 Taban Baghfalaki , Mojtaba Ganjali

This paper introduces the modeling of circular data with excess zeros under a longitudinal framework, where the response is a circular variable and the covariates can be both linear and circular in nature. In the literature, various…

Methodology · Statistics 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

The linear regression model is widely used in the biomedical and social sciences as well as in policy and business research to adjust for covariates and estimate the average effects of treatments. Behind every causal inference endeavor…

Methodology · Statistics 2024-04-23 Ambarish Chattopadhyay , Noah Greifer , Jose R. Zubizarreta