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Bacon With Your Eggs? Applications of a New Bivariate Beta-Binomial Distribution

The American Statistician, 2005
We present two everyday applications of a new bivariate beta-binomial distribution. Although the applications are familiar, they share unique characteristics that cannot be handled adequately by existing bivariate discrete distributions. These features are high levels of between- and within-trial correlation for the bivariate random variables.
Danaher, Peter J., Hardie, Bruce G.S.
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Using the Beta-Binomial Distribution to Describe Aggregated Patterns of Disease Incidence

Phytopathology®
We discuss the use of the beta-binomial distribution for the description of plant disease incidence data, collected on the basis of scoring plants as either “diseased” or “healthy”. The beta-binomial is a discrete probability distribution derived by regarding the probability of a plant being diseased (a constant in the binomial distribution) as a beta-
G. Hughes, L. V. Madden
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Parameter estimation for the dirichlet-multinomial distribution using supplementary beta-binomial data

Communications in Statistics - Theory and Methods, 1988
We develop estimates for the parameters of the Dirichlet-multinomial distribution (DMD) when there is insufficient data to obtain maximum likelihood or method of moment estimates known in the literature. We do, however, have supplemetary beta-binomial data pertaining to the marginals of the DMD, and use these data when estimating the DMD parameters.
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PARAMETER ESTIMATION AND APPLICATIONS FOR A GENERALISATION OF THE BETA‐BINOMIAL DISTRIBUTION

Australian Journal of Statistics, 1988
SummaryA three‐parameter generalisation of the beta‐binomial distribution (BBD) derived by Chandon (1976) is examined. We obtain the maximum likelihood estimates of the parameters and give the elements of the information matrix. To exhibit the applicability of the generalised distribution we show how it gives an improved fit over the BBD for magazine ...
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USING THE BETA-BINOMIAL DISTRIBUTION TO ASSESS PERFORMANCE OF A BIOMETRIC IDENTIFICATION DEVICE

International Journal of Image and Graphics, 2003
This paper discusses the use of the Beta-binomial distribution to estimate the matching performance of a biometric identification device. Specifically, the Beta-binomial distribution can be used to assess the variability in estimates of the false match and the false non-match rates when multiple users are tested more than once.
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