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In many applied sciences a popular analysis strategy for high-dimensional data is to fit many multivariate generalized linear models in parallel. This paper presents a novel approach to address the resulting multiple testing problem by…

Statistics Theory · Mathematics 2024-10-07 Riccardo De Santis , Jelle J. Goeman , Samuel Davenport , Jesse Hemerik , Livio Finos

In many practical scenarios, including finance, environmental sciences, system reliability, etc., it is often of interest to study the various notion of negative dependence among the observed variables. A new bivariate copula is proposed…

Methodology · Statistics 2023-07-18 Shyamal Ghosh , Prajamitra Bhuyan , Maxim Finkelstein

Large-scale multiple testing under static factor models is widely used to detect sparse signals in high-dimensional data. However, static factor models are arguably too stringent because they ignore serial correlation, which seriously…

Statistics Theory · Mathematics 2025-04-04 Xinxin Yang , Lilun Du

Copulas provide an attractive approach for constructing multivariate distributions with flexible marginal distributions and different forms of dependences. Of particular importance in many areas is the possibility of explicitly forecasting…

Methodology · Statistics 2018-05-22 Feng Li , Yanfei Kang

The current statistical procedures implemented in statistical software packages for pooling of diagnostic test accuracy data include hSROC regression and the bivariate random-effects meta-analysis model (BRMA). However, these models do not…

Methodology · Statistics 2016-04-08 Victoria N Nyaga , Marc Arbyn , Marc Aerts

Large-scale multiple testing tasks often exhibit dependence, and leveraging the dependence between individual tests is still one challenging and important problem in statistics. With recent advances in graphical models, it is feasible to…

Methodology · Statistics 2012-10-19 Jie Liu , Chunming Zhang , Catherine McCarty , Peggy Peissig , Elizabeth Burnside , David Page

Alzheimer's disease (AD) is a progressive neurodegenerative condition necessitating early and precise diagnosis to provide prompt clinical management. Given the paramount importance of early diagnosis, recent studies have increasingly…

Machine Learning · Computer Science 2026-02-18 Fatemeh Khalvandi , Saadat Izadi , Abdolah Chalechale

Factor models are widely applied to the analysis of multivariate data across disparate fields of research. However, modern scientific data are often incomplete, and estimating a factor model from partially observed data can be very…

Methodology · Statistics 2026-02-24 Giuseppe Vinci

P values or risk ratios from multiple, independent studies, observational or randomized, can be computationally combined to provide an overall assessment of a research question in meta-analysis. There is a need to examine the reliability of…

Methodology · Statistics 2021-10-28 S. Stanley Young , Warren B. Kindzierski

Considerable interest has recently been focused on studying multiple phenotypes simultaneously in both epidemiological and genomic studies, either to capture the multidimensionality of complex disorders or to understand shared etiology of…

Methodology · Statistics 2015-11-26 Denis Agniel , Katherine P. Liao , Tianxi Cai

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

Statistics Theory · Mathematics 2007-06-13 Peter D. Hoff

Our article addresses the problem of flexibly estimating a multivariate density while also attempting to estimate its marginals correctly. We do so by proposing two new estimators that try to capture the best features of mixture of normals…

Methodology · Statistics 2009-01-05 Paolo Giordani , Xiuyan Mun , Robert Kohn

This paper presents a method for fitting a copula-driven generalized linear mixed models. For added flexibility, the skew-normal copula is adopted for fitting. The correlation matrix of the skew-normal copula is used to capture the…

Methodology · Statistics 2017-08-01 Kalyan Das , Mohamad Elmasri , Arusharka Sen

Copula-based models provide a great deal of flexibility in modelling multivariate distributions, allowing for the specifications of models for the marginal distributions separately from the dependence structure (copula) that links them to…

Methodology · Statistics 2021-09-09 Nicolás Kuschinski , Alejandro Jara

A standard quantitative method to access credit risk employs a factor model based on joint multivariate normal distribution properties. By extending a one-factor Gaussian copula model to make a more accurate default forecast, this paper…

Risk Management · Quantitative Finance 2020-10-07 Meng-Jou Lu , Cathy Yi-Hsuan Chen , Wolfgang Karl Härdle

Meta-analysis, because of both logistical convenience and statistical efficiency, is widely popular for synthesizing information on common parameters of interest across multiple studies. We propose developing a generalized meta-analysis…

Methodology · Statistics 2018-11-27 Prosenjit Kundu , Runlong Tang , Nilanjan Chatterjee

The mixture of factor analyzers (MFA) model provides a powerful tool for analyzing high-dimensional data as it can reduce the number of free parameters through its factor-analytic representation of the component covariance matrices. This…

Methodology · Statistics 2013-07-09 Tsung-I Lin , Geoffrey J. McLachlan , Sharon X. Lee

Models with latent factors recently attract a lot of attention. However, most investigations focus on linear regression models and thus cannot capture nonlinearity. To address this issue, we propose a novel Factor Augmented Single-Index…

Methodology · Statistics 2025-01-07 Yanmei Shi , Meiling Hao , Yanlin Tang , Heng Lian , Xu Guo

Copula-based methods provide a flexible approach to build missing data imputation models of multivariate data of mixed types. However, the choice of copula function is an open question. We consider a Bayesian nonparametric approach by using…

Methodology · Statistics 2019-10-15 Jiali Wang , Anton Westveld , Bronwyn Loong , Alan Welsh

This paper presents the first application of Gaussian Mixture Copula Models to the statistical modeling of driving scenarios for the safety validation of automated driving systems. Knowledge of the joint probability distribution of scenario…

Robotics · Computer Science 2026-01-27 Christian Reichenbächer , Philipp Rank , Jochen Hipp , Oliver Bringmann
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