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Univariate zero-inflated models are increasingly being used to account for excess zeros in spatio-temporal infectious disease counts. However, the multivariate case is challenging due to the need to account for correlations across space,…

Spatio-temporal counts of infectious disease cases often contain an excess of zeros. With existing zero inflated count models applied to such data it is difficult to quantify space-time heterogeneity in the effects of disease spread between…

应用统计 · 统计学 2022-04-19 Dirk Douwes-Schultz , Alexandra M. Schmidt

In this study, a two-state Markov switching count-data model is proposed as an alternative to zero-inflated models to account for the preponderance of zeros sometimes observed in transportation count data, such as the number of accidents…

应用统计 · 统计学 2009-08-02 Nataliya V. Malyshkina , Fred L. Mannering

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…

统计方法学 · 统计学 2024-11-20 Max Beveridge , Zach Goldstein , Hee Cheol Chung

This paper proposes a new generalized linear model with the fractional binomial distribution. Zero-inflated Poisson/negative binomial distributions are used for count data with many zeros. To analyze the association of such a count variable…

统计方法学 · 统计学 2025-08-01 Jeonghwa Lee , Chloe Breece

Standard count models such as the Poisson and Negative Binomial models often fail to capture the large proportion of zero claims commonly observed in insurance data. To address such issue of excessive zeros, zero-inflated and hurdle models…

应用统计 · 统计学 2026-02-03 Hyemin Lee , Dohee Kim , Banghee So , Jae Youn Ahn

In this paper, two-state Markov switching models are proposed to study accident frequencies. These models assume that there are two unobserved states of roadway safety, and that roadway entities (roadway segments) can switch between these…

应用统计 · 统计学 2009-08-02 Nataliya V. Malyshkina , Fred L. Mannering , Andrew P. Tarko

Claim frequency data in insurance records the number of claims on insurance policies during a finite period of time. Given that insurance companies operate with multiple lines of insurance business where the claim frequencies on different…

应用统计 · 统计学 2022-12-05 Pengcheng Zhang , David Pitt , Xueyuan Wu

Zero-inflated models are frequently used to deal with data having many zeros. A commonly used model for over-dispersed data containing zeros is known as the zero-inflated Poisson model. However, to account for the heterogeneity of counts…

统计方法学 · 统计学 2025-09-04 Ali Abbas , Sajid Ali , Ismail Shah

Several applications involving counts present a large proportion of zeros (excess-of-zeros data). A popular model for such data is the Hurdle model, which explicitly models the probability of a zero count, while assuming a sampling…

统计方法学 · 统计学 2024-08-06 Beatrice Franzolini , Andrea Cremaschi , Willem van den Boom , Maria De Iorio

A composite loss framework is proposed for low-rank modeling of data consisting of interesting and common values, such as excess zeros or missing values. The methodology is motivated by the generalized low-rank framework and the hurdle…

机器学习 · 统计学 2017-09-07 Christopher Dienes

In this research, two-state Markov switching models are proposed to study accident frequencies and severities. These models assume that there are two unobserved states of roadway safety, and that roadway entities (e.g., roadway segments)…

应用统计 · 统计学 2008-12-09 Nataliya V. Malyshkina

Competing risks model time to first event and type of first event. An example from hospital epidemiology is the incidence of hospital-acquired infection, which has to account for hospital discharge of non-infected patients as a competing…

统计方法学 · 统计学 2013-04-09 Arthur Allignol , Jan Beyersmann , Thomas Gerds , Aurélien Latouche

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…

统计方法学 · 统计学 2025-08-27 Taban Baghfalaki , Mojtaba Ganjali

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…

统计方法学 · 统计学 2023-09-14 Junyi Lu , Sebastian Meyer

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much…

统计方法学 · 统计学 2025-09-30 Gustavo H. A. Pereira , Jeremias Leão , Manoel Santos-Neto , Jianwen Cai

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

统计方法学 · 统计学 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

Progressive diseases worsen over time and are characterised by monotonic change in features that track disease progression. Here we connect ideas from two formerly separate methodologies -- event-based and hidden Markov modelling -- to…

机器学习 · 计算机科学 2021-06-07 Peter A. Wijeratne , Daniel C. Alexander

Zero inflation is a common nuisance while monitoring disease progression over time. This article proposes a new observation driven model for zero inflated and over-dispersed count time series. The counts given the past history of the…

统计理论 · 数学 2021-05-14 Vurukonda Sathish , Siuli Mukhopadhyay , Rashmi Tiwari

Count regression models are necessary for examining discrete dependent variables alongside covariates. Nonetheless, when data display outliers, overdispersion, and an abundance of zeros, traditional methods like the zero-inflated negative…

统计方法学 · 统计学 2025-11-03 Touqeer Ahmad , Abid Hussain
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