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This article considers the problem of estimating a multivariate probit model in a panel data setting with emphasis on sampling a high-dimensional correlation matrix and improving the overall efficiency of the data augmentation approach. We…

Computation · Statistics 2020-05-07 Vincent Chin , David Gunawan , Denzil G. Fiebig , Robert Kohn , Scott A. Sisson

Dynamic linear regression models forecast the values of a time series based on a linear combination of a set of exogenous time series while incorporating a time series process for the error term. This error process is often assumed to…

Methodology · Statistics 2026-04-02 Thomas Goodwin , Matias Quiroz , Robert Kohn

In this paper, we consider a single-index mixed model with longitudinal data. A new set of estimating equations is proposed to estimate the single-index coefficient. The link function is estimated by using the local linear smoothing.…

Methodology · Statistics 2010-04-06 Zhen Pang , Liugen Xue

Predictive inference under a general regression setting is gaining more interest in the big-data era. In terms of going beyond point prediction to develop prediction intervals, two main threads of development are conformal prediction and…

Statistics Theory · Mathematics 2025-05-19 Yiren Wang , Dimitris N. Politis

In this paper, we conduct a simulation study with subject-level data to evaluate conventional meta-regression approaches (study-level random, fixed, and mixed effects) against seven methodology specifications new to meta-regressions that…

Econometrics · Economics 2025-07-18 Ali Habibnia , Jonathan Gendron

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

The quantification of uncertainty in prediction models is crucial for reliable decision-making, yet remains a significant challenge. Interval time series forecasting offers a principled solution to this problem by providing prediction…

Machine Learning · Computer Science 2026-04-20 Miaoxuan Zhu , Yi Yu , Yuyang Li , Wei Li , Guangcan Liu

In many longitudinal microarray studies, the gene expression levels in a random sample are observed repeatedly over time under two or more conditions. The resulting time courses are generally very short, high-dimensional, and may have…

Applications · Statistics 2013-02-26 Maurice Berk , Cheryl Hemingway , Michael Levin , Giovanni Montana

Gaussian processes offer an attractive framework for predictive modeling from longitudinal data, i.e., irregularly sampled, sparse observations from a set of individuals over time. However, such methods have two key shortcomings: (i) They…

Machine Learning · Statistics 2020-12-09 Junjie Liang , Yanting Wu , Dongkuan Xu , Vasant Honavar

Quantile regression is an important tool for estimation of conditional quantiles of a response Y given a vector of covariates X. It can be used to measure the effect of covariates not only in the center of a distribution, but also in the…

Statistics Theory · Mathematics 2017-10-03 Victor Chernozhukov

Multivariate processes with long-range dependent properties are found in a large number of applications including finance, geophysics and neuroscience. For real data applications, the correlation between time series is crucial. Usual…

Statistics Theory · Mathematics 2015-11-02 Sophie Achard , Irène Gannaz

We propose a nonparametric bivariate time-varying coefficient model for longitudinal measurements with the occurrence of a terminal event that is subject to right censoring. The time-varying coefficients capture the longitudinal…

Methodology · Statistics 2021-11-10 Yue Wang , Bin Nan , Jack D. Kalbfleisch

Long-term causal inference has drawn increasing attention in many scientific domains. Existing methods mainly focus on estimating average long-term causal effects by combining long-term observational data and short-term experimental data.…

Machine Learning · Computer Science 2025-03-04 Weilin Chen , Ruichu Cai , Junjie Wan , Zeqin Yang , José Miguel Hernández-Lobato

Simulating longitudinal data from specified marginal structural models is a crucial but challenging task for evaluating causal inference methods and informing study design. While data generation typically proceeds in a fully conditional…

Methodology · Statistics 2025-04-25 Xi Lin , Daniel de Vassimon Manela , Chase Mathis , Jens Magelund Tarp , Robin J. Evans

Joint models of longitudinal and event-time data have been extensively studied and applied in many different fields. Estimation of joint models is challenging, most present procedures are computational expensive and have a strict…

Methodology · Statistics 2018-09-05 Yanqiao Zheng , Xiaobing Zhao , Xiaoqi Zhang

Personality traits are latent variables, and as such, are impossible to measure without the use of an assessment. Responses on the assessments can be influenced by both transient (state-related) error and measurement error, obscuring the…

Applications · Statistics 2017-06-02 Amy E. Nussbaum , Cornelis J. Potgieter , Michael Chmielewski

A growth curve model (GCM) aims to characterize how an outcome variable evolves, develops and grows as a function of time, along with other predictors. It provides a particularly useful framework to model growth trend in longitudinal data.…

Methodology · Statistics 2023-12-29 Xin Zhou , Yin Xia , Lexin Li

Quantile regression is a powerful tool for learning the relationship between a response variable and a multivariate predictor while exploring heterogeneous effects. In this paper, we consider statistical inference for quantile regression…

Statistics Theory · Mathematics 2021-05-19 Xuming He , Xiaoou Pan , Kean Ming Tan , Wen-Xin Zhou

The increased availability of massive data sets provides a unique opportunity to discover subtle patterns in their distributions, but also imposes overwhelming computational challenges. To fully utilize the information contained in big…

Statistics Theory · Mathematics 2018-04-12 Stanislav Volgushev , Shih-Kang Chao , Guang Cheng

The inactivity time, or lost lifespan specifically for mortality data, concerns time from occurrence of an event of interest to the current time point and has recently emerged as a new summary measure for cumulative information inherent in…

Methodology · Statistics 2020-04-14 Lauren C. Balmert , Ruosha Li , Limin Peng , Jong-Hyeon Jeong