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This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with beta regression models with mixed effects from a Bayesian…

Interrupted time series (ITS) is often used to evaluate the effectiveness of a health policy intervention that accounts for the temporal dependence of outcomes. When the outcome of interest is a percentage or percentile, the data can be…

Methodology · Statistics 2026-03-19 Shangyuan Ye , Maricela Cruz , Ziyou Wang , Yun Yu

Although there is a rich literature on methods for allowing the variance in a univariate regression model to vary with predictors, time and other factors, relatively little has been done in the multivariate case. Our focus is on developing…

Methodology · Statistics 2015-03-17 Emily Fox , David Dunson

Beta regression has been extensively used by statisticians and practitioners to model bounded continuous data and there is no strong and similar competitor having its main features. A class of normalized inverse-Gaussian (N-IG) process was…

Methodology · Statistics 2020-03-12 Wagner Barreto-Souza , Vinícius D. Mayrink , Alexandre B. Simas

Bounded continuous responses -- such as proportions -- arise frequently in diverse scientific fields including climatology, biostatistics, and finance. Beta regression is a widely adopted framework for modeling such data, due to the…

Methodology · Statistics 2025-05-29 The Tien Mai

Predicting the dependencies between observations from multiple time series is critical for applications such as anomaly detection, financial risk management, causal analysis, or demand forecasting. However, the computational and numerical…

Machine Learning · Computer Science 2019-10-28 David Salinas , Michael Bohlke-Schneider , Laurent Callot , Roberto Medico , Jan Gasthaus

Accurate real-time tracking of influenza outbreaks helps public health officials make timely and meaningful decisions that could save lives. We propose an influenza tracking model, ARGO (AutoRegression with GOogle search data), that uses…

Applications · Statistics 2015-11-17 Shihao Yang , Mauricio Santillana , S. C. Kou

We propose autoregressive Bayesian semi-parametric models for waiting times between recurrent events. The aim is two-fold: inference on the effect of possibly time-varying covariates on the gap times and clustering of individuals based on…

Applications · Statistics 2016-07-28 Marta Tallarita , Maria De Iorio , Alessandra Guglielmi , James Malone-Lee

In actuarial practice the dependency between contract limitations (deductibles, copayments) and health care expenditures are measured by the application of the Monte Carlo simulation technique. We propose, for the same goal, an alternative…

Methodology · Statistics 2020-11-19 Fabio Baione , Davide Biancalana , Paolo De Angelis

In this manuscript, we use meteorological information in Galicia (Spain) to propose a novel approach to predict the incidence of influenza. Our approach extends the GLS methods in the multivariate framework to functional regression models…

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

Populations and Evolution · Quantitative Biology 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld

Examples with bound information on the regression function and density abound in many real applications. We propose a novel approach for estimating such functions by incorporating the prior knowledge on the bounds. Specially, a Gaussian…

Methodology · Statistics 2018-10-30 Jize Zhang , Lizhen Lin

Regression control charts are usually used to monitor variables of interest that are related to control variables. However, for fraction and/or proportion data, the use of standard regression control charts may not be adequate, since the…

Methodology · Statistics 2018-04-05 Fábio Mariano Bayer , Catia Michele Tondolo , Fernanda Maria Müller

We present a functional data analysis approach for studying time-dependent, continuous glucose monitoring data with repeated measures for each individual in an experiment. After scaling the glucose concentration curves to the interval [0,…

Methodology · Statistics 2025-11-04 Nihan Acar-Denizli , Pedro Delicado

Standard nonlinear regression is commonly used when modeling indifference points due to its ability to closely follow observed data, resulting in a good model fit. However, standard nonlinear regression currently lacks a reasonable…

Methodology · Statistics 2024-06-07 Mingang Kim , Mikhail N. Koffarnus , Christopher T Franck

In this paper, we propose a regression model where the response variable is beta prime distributed using a new parameterization of this distribution that is indexed by mean and precision parameters. The proposed regression model is useful…

Methodology · Statistics 2018-04-23 Marcelo Bourguignon , Manoel Santos-Neto , Mário de Castro

We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

Methodology · Statistics 2020-06-22 Haiming Zhou , Xianzheng Huang

Beta-sorted portfolios -- portfolios comprised of assets with similar covariation to selected risk factors -- are a popular tool in empirical finance to analyze models of (conditional) expected returns. Despite their widespread use, little…

Econometrics · Economics 2024-11-12 Matias D. Cattaneo , Richard K. Crump , Weining Wang

Beta regression models are a suitable choice for continuous response variables on the unity interval. Random effects add further flexibility to the models and accommodate data structures such as hierarchical, repeated measures and…

Applications · Statistics 2017-04-25 Wagner H. Bonat , Paulo J. Ribeiro , Walmes Marque Zeviani

We introduce the use of a Gated Recurrent Unit (GRU) for influenza prediction at the state- and city-level in the US, and experiment with the inclusion of real-time flu-related Internet search data. We find that a GRU has lower prediction…

Machine Learning · Computer Science 2019-11-14 Emily L. Aiken , Andre T. Nguyen , Mauricio Santillana
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