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The human microbiome can contribute to pathogeneses of many complex diseases by mediating disease-leading causal pathways. However, standard mediation analysis methods are not adequate to analyze the microbiome as a mediator due to the…

We provide novel probabilistic portrayals of two multivariate models designed to handle zero-inflation in count-compositional data. We develop a new unifying framework that represents both as finite mixture distributions. One of these…

Methodology · Statistics 2026-03-31 André F. B. Menezes , Andrew C. Parnell , Keefe Murphy

Microbiome research has immense potential for unlocking insights into human health and disease. A common goal in human microbiome research is identifying subgroups of individuals with similar microbial composition that may be linked to…

Methodology · Statistics 2025-08-21 Suppapat Korsurat , Matthew D. Koslovsky

The NEXT Generation Health study investigates the dating violence of adolescents using a survey questionnaire. Each student is asked to affirm or deny multiple instances of violence in his/her dating relationship. There is, however,…

Applications · Statistics 2015-06-02 Kara A. Fulton , Danping Liu , Denise L. Haynie , Paul S. Albert

The Dirichlet-multinomial (DM) distribution plays a fundamental role in modern statistical methodology development and application. Recently, the DM distribution and its variants have been used extensively to model multivariate count data…

Methodology · Statistics 2023-02-27 Matthew D. Koslovsky

Background: Single-cell RNA sequencing (scRNA-seq) is a powerful profiling technique at the single-cell resolution. Appropriate analysis of scRNA-seq data can characterize molecular heterogeneity and shed light into the underlying cellular…

Applications · Statistics 2019-08-05 Siamak Zamani Dadaneh , Paul de Figueiredo , Sing-Hoi Sze , Mingyuan Zhou , Xiaoning Qian

Count data with excessive zeros are often encountered when modelling infectious disease occurrence. The degree of zero inflation can vary over time due to non-epidemic periods as well as by age group or region. The existing endemic-epidemic…

Methodology · Statistics 2023-09-14 Junyi Lu , Sebastian Meyer

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

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

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

Zero-inflated regression models have had wide application recently and have provenuseful in modeling data with many zeros. Zero-inflated Binomial (ZIB) regression model is an extension of the ordinary binomial distribution that takes into…

Statistics Theory · Mathematics 2021-05-04 Aba Diop , Demba Bocar Ba , Fatimata Lo

Ideally, all analyses of normally distributed data should include the full covariance information between all data points. In practice, the full covariance matrix between all data points is not always available. Either because a result was…

Methodology · Statistics 2026-02-23 Lukas Koch

Although statistical models fit many citation data sets reasonably well with the best fitting models being the hooked power law and discretised lognormal distribution, the fits are rarely close. One possible reason is that there might be…

Digital Libraries · Computer Science 2016-05-10 Mike Thelwall

This paper proposes a general class of regression models for continuous proportions when the data contain zeros or ones. The proposed class of models assumes that the response variable has a mixed continuous-discrete distribution with…

Methodology · Statistics 2011-11-04 Raydonal Ospina , Silvia L. P. Ferrari

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

Modeling fractional data in various real life scenarios is a challenging task. This paper consider situations where fractional data is observed on the interval [0,1]. The unit-Lindley distribution has been discussed in the literature where…

Methodology · Statistics 2021-02-10 Sudeep R. Bapat , Rohit Bhardwaj

This paper considers the issue of modeling fractional data observed in the interval [0,1), (0,1] or [0,1]. Mixed continuous-discrete distributions are proposed. The beta distribution is used to describe the continuous component of the model…

Methodology · Statistics 2008-03-19 Raydonal Ospina , Silvia L. P. Ferrari

We investigate how inflation model selection is affected by the presence of additional free-streaming relativistic degrees of freedom, i.e. dark radiation. We perform a full Bayesian analysis of both inflation parameters and cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-07 Thomas Tram , Robert Vallance , Vincent Vennin

This work proposes a new methodology to fit zero inflated Bernoulli data from a Bayesian approach, able to distinguish between two potential sources of zeros (structurals and non-structurals). Its usage is illustrated by means of a real…

Methodology · Statistics 2021-05-04 David Moriña , Pedro Puig , Albert Navarro

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