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Modeling the overdispersion of parasite loads
Mathematical Biosciences, 1991 Many epidemic models lead to an approximately Poisson distribution of parasites among hosts. This is at variance with observation, where heavy overdispersion is the rule. A simple model is proposed that, while treating individuals alike, nonetheless gives rise to highly variable parasite loads.
Barbour AD, Kafetzaki M
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, 2015 The book Overdispersion Models in SAS by Morel and Neerchal (2012) discusses statistical analysis of categorical and count data which exhibit overdispersion, with a focus on computational procedures using SAS. This document retraces some of the ground covered in the book, which we abbreviate throughout as OMSAS, with the objective of carrying out ...
Raim, Andrew M. +2 more
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Ignoring overdispersion in hierarchical loglinear models: Possible problems and solutions
Statistics in Medicine, 2012 Poisson data frequently exhibit overdispersion; and, for univariate models, many options exist to circumvent this problem. Nonetheless, in complex scenarios, for example, in longitudinal studies, accounting for overdispersion is a more challenging task ...
Ariel Alonso, Geert Molenberghs
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Dendritic excitability controls overdispersion
Nature Computational Science, 2022The brain is an intricate assembly of intercommunicating neurons whose input-output function is only partially understood. The role of active dendrites in shaping spiking responses, in particular, is unclear. Although existing models account for active dendrites and spiking responses, they are too complex to analyze analytically and demand long ...
Zachary Friedenberger, Richard Naud
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ISPRS International Journal of Geo-Information, 2020 Negative binomial (NB) regression model has been used to analyze crime in previous studies. The disadvantage of the NB model is that it cannot deal with spatial effects.
Jianguo Chen, Lin Liu, Luzi Xiao
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Diagnostics for Overdispersion
Journal of the American Statistical Association, 1992Abstract Diagnostic tools are proposed for assessing the dependence of extrabinomial or extra-Poisson variation on explanatory variables and for comparing several common models for overdispersion. These tools are based on tests for regression terms in the dispersion parameter of a generalized linear model, using double exponential family and ...
Lisa M. Ganio, Daniel W. Schafer
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A note on overdispersed exponential families
Biometrika, 1990Abstract : The issue of creating overdispersion in a given one parameter one dimensional exponential family, by extending it to a two parameter exponential family with the same support, is considered. An easily verifiable sufficient condition for this is derived.
A. E. Gelfand, S. R. Dalal
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The overdispersion in activity of place cells
Neurocomputing, 2001Abstract The spontaneous discharge of place cells reflects the position of an animal in its environment. The firing rate is high inside a part of it, called the firing field, and low outside. It has been found experimentally that while the activity of place cells is highly reliable in position, it does not retain the same reliability in time.
Petr Lánský +2 more
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Spatial scan statistics with overdispersion
Statistics in Medicine, 2011The spatial scan statistic has been widely used in spatial disease surveillance and spatial cluster detection for more than a decade. However, overdispersion often presents in real‐world data, causing not only violation of the Poisson assumption but also excessive type I errors or false alarms.
Tonglin, Zhang, Zuoyi, Zhang, Ge, Lin
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A note on the overdispersed Poisson family
Insurance: Mathematics and Economics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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