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Zero-inflated continuous data ubiquitously appear in many fields, in which lots of exactly zero-valued data are observed while others distribute continuously. Due to the mixed structure of discreteness and continuity in its distribution,…

Methodology · Statistics 2024-10-28 Keita Hamamoto

We propose a regression model for count data when the classical generalized linear model approach is too rigid due to a high outcome of zero counts and a nonlinear influence of continuous covariates. Zero-Inflation is applied to take into…

Methodology · Statistics 2013-04-12 T. Opitz , P. Tramini , N. Molinari

Many data sets cannot be accurately described by standard probability distributions due to the excess number of zero values present. For example, zero-inflation is prevalent in microbiome data and single-cell RNA sequencing data, which…

Methodology · Statistics 2024-11-20 Max Beveridge , Zach Goldstein , Hee Cheol Chung

Bounded continuous data on the unit interval frequently arise in applied fields and often exhibit a non-negligible proportion of observations at the boundaries. Inflated regression models address this feature by combining a continuous…

Methodology · Statistics 2026-03-05 Francisco F. Queiroz , Johannes Brachem , Paul F. V. Wiemann , Thomas Kneib

Based on a data set obtained in a dental longitudinal study, conducted in Flanders (Belgium), the joint time to caries distribution of permanent first molars was modeled as a function of covariates. This involves an analysis of multivariate…

Applications · Statistics 2011-01-10 Alejandro Jara , Emmanuel Lesaffre , Maria De Iorio , Fernando Quintana

We propose a comprehensive Bayesian joint modeling framework for zero-inflated longitudinal count data and time-to-event outcomes, explicitly incorporating a cure fraction to account for subjects who never experience the event. The…

Methodology · Statistics 2025-08-27 Taban Baghfalaki , Mojtaba Ganjali

We propose a joint individualized hurdle-ordinal regression model for paired zero-inflated ordinal outcomes with subject-specific, spatially varying, and time-varying covariate effects, motivated by the Iowa Fluoride Study (IFS). The two…

Methodology · Statistics 2026-05-12 Arkaprava Roy , Jeremy T. Gaskins , Steven Levy , Somnath Datta

Estimating the marginal and joint densities of the long-term average intakes of different dietary components is an important problem in nutritional epidemiology. Since these variables cannot be directly measured, data are usually collected…

Methodology · Statistics 2019-12-12 Abhra Sarkar , Debdeep Pati , Bani K. Mallick , Raymond J. Carroll

Spatiotemporal data analysis with massive zeros is widely used in many areas such as epidemiology and public health. We use a Bayesian framework to fit zero-inflated negative binomial models and employ a set of latent variables from…

Methodology · Statistics 2024-02-08 Qing He , Hsin-Hsiung Huang

We present an approach for modeling and imputation of nonignorable missing data. Our approach uses Bayesian data integration to combine (1) a Gaussian copula model for all study variables and missingness indicators, which allows arbitrary…

Methodology · Statistics 2024-11-19 Joseph Feldman , Jerome P. Reiter , Daniel R. Kowal

Researchers are often interested in predicting outcomes, conducting clustering analysis to detect distinct subgroups of their data, or computing causal treatment effects. Pathological data distributions that exhibit skewness and…

Methodology · Statistics 2020-08-24 Arman Oganisian , Nandita Mitra , Jason Roy

This paper introduces the modeling of circular data with excess zeros under a longitudinal framework, where the response is a circular variable and the covariates can be both linear and circular in nature. In the literature, various…

Methodology · Statistics 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

Wearable devices collect time-varying biobehavioral data, offering opportunities to investigate how behaviors influence health outcomes. However, these data often contain measurement error and excess zeros (due to nonwear, sedentary…

Methodology · Statistics 2026-02-06 Caihong Qin , Lan Xue , Ufuk Beyaztas , Roger S. Zoh , Mark Benden , Jeff Goldsmith , Carmen D. Tekwe

In this article, we develop fully Bayesian, copula-based, spatial-statistical models for large, noisy, incomplete, and non-Gaussian spatial data. Our approach includes novel constructions of copulas that accommodate a spatial-random-effects…

Methodology · Statistics 2025-11-05 Alan Pearse , David Gunawan , Noel Cressie

Generalized linear models (GLMs) using a regression procedure to fit relationships between predictor and target variables are widely used in automobile insurance data. Here, in the process of ratemaking and in order to compute the premiums…

Applications · Statistics 2016-06-02 J. M. Pérez-Sánchez , E. Gómez-Déniz

Canonical correlation analysis investigates linear relationships between two sets of variables, but often works poorly on modern data sets due to high-dimensionality and mixed data types such as continuous, binary and zero-inflated. To…

Methodology · Statistics 2021-04-01 Grace Yoon , Raymond J. Carroll , Irina Gaynanova

Motivated by the Iowa Fluoride Study (IFS), which tracked fluoride intake and dental outcomes from childhood to young adulthood (ages 9, 13, 17, and 23), we analyze dental fluorosis - a condition caused by excessive fluoride exposure during…

Methodology · Statistics 2025-08-08 Shoumi Sarkar , Anish Mukherjee , Jeremy T. Gaskins , Steven Levy , Peihua Qiu , Somnath Datta

Count-compositional data arise in many different fields, including high-throughput sequencing experiments, ecological surveys, and palaeoclimate studies, where a common, important goal is to understand how covariates relate to the observed…

Methodology · Statistics 2026-04-10 André F. B. Menezes , Andrew C. Parnell , Keefe Murphy

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

Mediation analysis seeks to understand the mechanism by which a treatment affects an outcome. Count or zero-inflated count outcome are common in many studies in which mediation analysis is of interest. For example, in dental studies,…

Methodology · Statistics 2016-07-12 Zijian Guo , Dylan S. Small , Stuart A. Gansky , Jing Cheng
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