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The Beta-Binomial Distribution [PDF]
, 2023 The beta-binomial distribution can be thought of as a binomial distribution where the probability of success in each trial is not fixed but follows a beta distribution. It is often used to capture correlation in a sequence of Bernoulli trials or to model over-dispersion.
Hodel, Florian, Booth, James
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Double Generalized Beta-Binomial and Negative Binomial Regression Models [PDF]
Revista Colombiana de Estadística, 2017 Overdispersion is a common phenomenon in count datasets, that can greatly affect inferences about the model. In this paper develop three joint mean and dispersion regression models in order to fit overdispersed data.
EDILBERTO CEPEDA-CUERVO +1 more
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A Bimodal Extension of the Beta-Binomial Distribution with Applications
AxiomsIn this paper, we propose an alternative distribution to model count data exhibiting uni/bimodality. It arises as a weighted version of the beta-binomial distribution, which is defined by a parametric weight function that admits up to two modes for the ...
Jimmy Reyes +4 more
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Probability-of-Coverage Tolerance Intervals for the Beta Binomial
Psychometrika, 1986 True score tolerance intervals, which are designed to cover a chosen proportion of the conditional distribution of true scores given an observed score, are suggested as alternatives to true score confidence intervals. Using large sample theory, a tolerance interval estimator for the beta binomial is derived.
David Jarjoura
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An Application of Beta Binomial GAMLSS for the Estimate of Surrender Rates
This paper deals with the estimate of surrender rate with explanatory variables by a Generalized Linear Model for Location, Scale, and Shape (GAMLSS) where the response variable is assumed Beta Binomial. In actuarial practice and literature, the Binomial Generalized Linear Model is frequently used to get an estimate of surrender rates per policy count ...
Baione, Fabio +2 more
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Beta-binomial model for meta-analysis of odds ratios. [PDF]
Stat Med, 2017 In meta‐analysis of odds ratios (ORs), heterogeneity between the studies is usually modelled via the additive random effects model (REM). An alternative, multiplicative REM for ORsuses overdispersion. The multiplicative factor in this overdispersion model (ODM) can be interpreted as an intra‐class correlation (ICC) parameter.
Bakbergenuly I, Kulinskaya E.
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A Zero-inflated Beta-binomial Model for Microbiome Data Analysis. [PDF]
Stat (Int Stat Inst), 2018 The Microbiome is increasingly recognized as an important aspect of the health of host species, involved in many biological pathways and processes and potentially useful as health biomarkers. Taking advantage of high‐throughput sequencing technologies, modern bacterial microbiome studies are metagenomic, interrogating thousands of taxa simultaneously ...
Hu T, Gallins P, Zhou YH.
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Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation [PDF]
Journal of Statistical Theory and Applications (JSTA), 2013 Multiplicative-binomial distribution is one of the distributions that allows for over-dispersion and under-dispersion relative to the standard binomial distribution.
Elsayed A.H. Elamir
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Journal of Biostatistics and Epidemiology, 2023 Introduction: Although geometric distribution, which is a special case of Negative Binomial (NB) distribution, also belongs to the discrete family of distributions, little attention has been paid to modeling count data with the geometric distribution ...
Zainab Al-Balushi +2 more
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Pooling overdispersed binomial data to estimate event rate
BMC Medical Research Methodology, 2008 Background The beta-binomial model is one of the methods that can be used to validly combine event rates from overdispersed binomial data. Our objective is to provide a full description of this method and to update and broaden its applications in ...
Chan K Arnold, Young-Xu Yinong
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