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The regression discontinuity (RD) design is a popular approach to causal inference in non-randomized studies. This is because it can be used to identify and estimate causal effects under mild conditions. Specifically, for each subject, the…

Methodology · Statistics 2014-02-11 George Karabatsos , Stephen G. Walker

We propose a Bayesian nonparametric model for mixed-type bounded data, where some variables are compositional and others are interval-bounded. Compositional variables are non-negative and sum to a given constant, such as the proportion of…

Methodology · Statistics 2025-03-13 Rufeng Liu , Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

In the analysis of cluster data, the regression coefficients are frequently assumed to be the same across all clusters. This hampers the ability to study the varying impacts of factors on each cluster. In this paper, a semiparametric model…

Statistics Theory · Mathematics 2009-08-25 Wenyang Zhang , Jianqing Fan , Yan Sun

Handling highly dependent data is crucial in clinical trials, particularly in fields related to ophthalmology. Incorrectly specifying the dependency structure can lead to biased inferences. Traditionally, models rely on three fixed…

Methodology · Statistics 2025-09-30 Shuyi Liang , Takeshi Emura , Chang-Xing Ma , Yijing Xin , Xin-Wei Huang

Following our previous work on copula-based nonsymmetric bivariate dependence measures, we propose a new set of conditions on nonsymmetric multivariate dependence measures which characterize both independence and complete dependence of one…

Methodology · Statistics 2015-12-04 Hui Li

This article presents factor copula approaches to model temporal dependency of non-Gaussian (continuous/discrete) longitudinal data. Factor copula models are canonical vine copulas which explain the underlying dependence structure of a…

Methodology · Statistics 2025-02-18 Subhajit Chattopadhyay

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the constancy of the conditional dependence structure when some…

Methodology · Statistics 2020-08-24 Alexis Derumigny , Jean-David Fermanian , Aleksey Min

Conditioning on some set of confounders that causally affect both treatment and outcome variables can be sufficient for eliminating bias introduced by all such confounders when estimating causal effect of the treatment on the outcome from…

Methodology · Statistics 2018-04-24 Priyantha Wijayatunga

This work was motivated by a twin study with the goal of assessing the genetic control of immune traits. We propose a mixture bivariate distribution to model twin data where the underlying order within a pair is unclear. Though estimation…

Methodology · Statistics 2025-07-21 Zonghui Hu , Pengfei Li , Dean Follmann , Jing Qin

Continuous proportions measured on the same experimental unit often pose two challenges: interior outliers that inflate variance beyond the beta ceiling and residual dependence that invalidates independent-margin models. We introduce a…

Methodology · Statistics 2025-11-14 Divan A. Burger , Janet van Niekerk , Peter C. le Roux , Morgan J. Raath-Krüger

Value-at-Risk and its conditional allegory, which takes into account the available information about the economic environment, form the centrepiece of the Basel framework for the evaluation of market risk in the banking sector. In this…

Methodology · Statistics 2019-10-03 Gery Geenens , Richard Dunn

Bayesian belief networks have grown to prominence because they provide compact representations for many problems for which probabilistic inference is appropriate, and there are algorithms to exploit this compactness. The next step is to…

Artificial Intelligence · Computer Science 2011-06-27 D. Poole , N. L. Zhang

Flexible estimation of multiple conditional quantiles is of interest in numerous applications, such as studying the effect of pregnancy-related factors on low and high birth weight. We propose a Bayesian non-parametric method to…

Methodology · Statistics 2021-10-22 Steven G. Xu , Brian J. Reich

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

Statistics Theory · Mathematics 2015-08-18 M. Wojtyś , G. Marra

In causal inference confounding may be controlled either through regression adjustment in an outcome model, or through propensity score adjustment or inverse probability of treatment weighting, or both. The latter approaches, which are…

Methodology · Statistics 2017-01-17 Olli Saarela , Léo R. Belzile , David A. Stephens

Copulas allow to learn marginal distributions separately from the multivariate dependence structure (copula) that links them together into a density function. Vine factorizations ease the learning of high-dimensional copulas by constructing…

Methodology · Statistics 2013-02-19 David Lopez-Paz , José Miguel Hernández-Lobato , Zoubin Ghahramani

We present an alternative approach to the Bayesian nonparametric analysis of conditional species richness under two-parameter Poisson Dirichlet priors. We rely on a known characterization by deletion of classes property and on results for…

Probability · Mathematics 2010-02-03 Annalisa Cerquetti

Rare variants are hypothesized to be largely responsible for heritability and susceptibility to disease in humans. So rare variants association studies hold promise for understanding disease. Conversely though, the rareness of the variants…

Methodology · Statistics 2021-12-06 Lorenzo Masoero , Joshua Schraiber , Tamara Broderick

The paper considers the problem of establishing data support for the simplifying assumption (SA) in a bivariate conditional copula model. It is known that SA greatly simplifies the inference for a conditional copula model, but standard…

Methodology · Statistics 2019-09-30 Evgeny Levi , Radu V Craiu

Likelihood-free approaches are appealing for performing inference on complex dependence models, either because it is not possible to formulate a likelihood function, or its evaluation is very computationally costly. This is the case for…

Methodology · Statistics 2025-12-08 Lídia M. André , Jennifer L. Wadsworth , Raphaël Huser
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