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The aim of this paper is to present a mixture composite regression model for claim severity modelling. Claim severity modelling poses several challenges such as multimodality, heavy-tailedness and systematic effects in data. We tackle this…

Methodology · Statistics 2021-08-02 Tsz Chai Fung , George Tzougas , Mario Wuthrich

Robust clustering from incomplete data is an important topic because, in many practical situations, real data sets are heavy-tailed, asymmetric, and/or have arbitrary patterns of missing observations. Flexible methods and algorithms for…

Methodology · Statistics 2018-11-13 Yuhong Wei , Yang Tang , Paul D. McNicholas

We develop a collection of methods for adjusting the predictions of quantile regression to ensure coverage. Our methods are model agnostic and can be used to correct for high-dimensional overfitting bias with only minimal assumptions.…

Methodology · Statistics 2025-11-10 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

Causal inference methods have been applied in various fields where researchers want to estimate treatment effects. In traditional causal inference settings, one assumes that the outcome of a unit does not depend on treatments of other…

Methodology · Statistics 2022-09-05 Kelly Kung , Daniel L. Sussman

The method of generalized estimating equations (GEE) is popular in the biostatistics literature for analyzing longitudinal binary and count data. It assumes a generalized linear model (GLM) for the outcome variable, and a working…

Methodology · Statistics 2016-06-03 Aristidis K. Nikoloulopoulos

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

Regression analyses based on transformations of cumulative incidence functions are often adopted when modeling and testing for treatment effects in clinical trial settings involving competing and semi-competing risks. Common frameworks…

Methodology · Statistics 2024-01-11 Alexandra Bühler , Richard J Cook , Jerald F Lawless

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and…

Machine Learning · Computer Science 2022-03-14 Björn Engquist , Kui Ren , Yunan Yang

If error distribution has heteroscedasticity, it voliates the assumption of linear regression. Expectile regression is a powerful tool for estimating the conditional expectiles of a response variable in this setting. Since multiple levels…

Methodology · Statistics 2022-08-03 Jinghang Lin , Yuan Huang , Shuangge Ma

Environmental epidemiologic studies routinely utilize aggregate health outcomes to estimate effects of short-term (e.g., daily) exposures that are available at increasingly fine spatial resolutions. However, areal averages are typically…

Applications · Statistics 2023-02-07 Yuzi Zhang , Howard H. Chang , Joshua L. Warren , Stefanie T. Ebelt

We study causal effect estimation from a mixture of observational and interventional data in a confounded linear regression model with multivariate treatments. We show that the statistical efficiency in terms of expected squared error can…

A novel approach to quantile estimation in multivariate linear regression models with change-points is proposed: the change-point detection and the model estimation are both performed automatically, by adopting either the quantile fused…

Statistics Theory · Mathematics 2019-04-10 Gabriela Ciuperca , Matus Maciak

Causal inference is a critical research area with multi-disciplinary origins and applications, ranging from statistics, computer science, economics, psychology to public health. In many scientific research, randomized experiments provide a…

Methodology · Statistics 2022-07-26 Jingying Zeng

Weighting methods are popular tools for estimating causal effects; assessing their robustness under unobserved confounding is important in practice. In the following paper, we introduce a new set of sensitivity models called "variance-based…

Methodology · Statistics 2023-03-14 Melody Huang , Samuel D. Pimentel

We propose a distributed quadratic inference function framework to jointly estimate regression parameters from multiple potentially heterogeneous data sources with correlated vector outcomes. The primary goal of this joint integrative…

Methodology · Statistics 2022-07-28 Emily C. Hector , Peter X. -K. Song

In Bayesian inference for mixture models with an unknown number of components, a finite mixture model is usually employed that assumes prior distributions for mixing weights and the number of components. This model is called a mixture of…

Methodology · Statistics 2025-12-25 Fumiya Iwashige , Shintaro Hashimoto

Bayesian causal inference offers a principled approach to policy evaluation of proposed interventions on mediators or time-varying exposures. We outline a general approach to the estimation of causal quantities for settings with…

Methodology · Statistics 2019-02-28 Leah Comment , Brent A. Coull , Corwin Zigler , Linda Valeri

Unmeasured confounding presents a significant challenge in causal inference from observational studies. Classical approaches often rely on collecting proxy variables, such as instrumental variables. However, in applications where the…

Methodology · Statistics 2025-01-16 Xiaochuan Shi , Dehan Kong , Linbo Wang

In causal inference, a variety of causal effect estimands have been studied, including the sample, uncensored, target, conditional, optimal subpopulation, and optimal weighted average treatment effects. Ad-hoc methods have been developed…

Methodology · Statistics 2019-10-18 Nathan Kallus , Michele Santacatterina

Covariate balance is crucial for unconfounded descriptive or causal comparisons. However, lack of balance is common in observational studies. This article considers weighting strategies for balancing covariates. We define a general class of…

Methodology · Statistics 2016-09-30 Fan Li , Kari Lock Morgan , Alan M. Zaslavsky