Moment estimators for the beta-binomial distribution
Journal of Applied Statistics, 1992A new moment estimator of the dispersion parameter of the beta-binomial distribution is proposed. It is derived by the method of moments which is constrained to satisfy the unbiasedness of the estimating equation. It gives a better performance than those of the usual moment estimators and the stabilized moment estimator proposed by Tamura & Young.
E. Yamamoto, T. Yanagimoto
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The Analysis of Chromosomally Aberrant Cells Based on Beta-Binomial Distribution
Radiation Research, 1984Analysis carried out here generalized on earlier studies of chromosomal aberrations in the populations of Hiroshima and Nagasaki, by allowing extrabinomial variation in aberrant cell counts corresponding to within-subject correlations in cell aberrations.
Masanori Otake, Ross L. Prentice
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Library book circulation and the beta-binomial distribution
Journal of the American Society for Information Science, 1987Library book circulation does not appear to be a Poisson process. It is proposed that a binomial process is more logical and that the mixture distribution for individual book popularities is a continuous beta distribution. Three examples are given which indicate the superiority of the beta—over the negative binomial distribution.
H. S. Sichel, E. Gelman
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USING THE BETA-BINOMIAL DISTRIBUTION TO ASSESS PERFORMANCE OF A BIOMETRIC IDENTIFICATION DEVICE
International Journal of Image and Graphics, 2003This 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.
Michael E. Schuckers +1 more
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Bayesian Inference for the Beta-Binomial Distribution via Polynomial Expansions
Journal of Computational and Graphical Statistics, 2002A commonly used paradigm in modeling count data is to assume that individual counts are generated from a Binomial distribution, with probabilities varying between individuals according to a Beta distribution. The marginal distribution of the counts is then Beta-Binomial. Bradlow, Hardie, and Fader (2002, p.
Everson, Philip J., Bradlow, E. T.
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Bacon With Your Eggs? Applications of a New Bivariate Beta-Binomial Distribution
The American Statistician, 2005We 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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Estimation Bias Using the Beta-Binomial Distribution in Teratology
Biometrics, 1988Kupper et al. (1986, Biometrics 42, 85-98) considered the fitting of dose-response regressions to litter proportions in teratology experiments. They found that the estimators which maximise the beta-binomial likelihood become biased when the intralitter correlation is incorrectly assumed to be homogeneous.
D. A. Williams +3 more
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Analysis of the short form‐36 (SF‐36): the beta‐binomial distribution approach
Statistics in Medicine, 2006AbstractHealth‐related quality of life (HRQoL) is an important indicator of health status and the Short Form‐36 (SF‐36) is a generic instrument to measure it. Multiple linear regression (MLR) is often used to study the relationship of HRQoL with patients' characteristics, though HRQoL outcomes tend to be not normally distributed, skewed and bounded (e ...
Vicente Núñez-Antón +2 more
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Algorithm AS 189: Maximum Likelihood Estimation of the Parameters of the Beta Binomial Distribution
Dustin Smith
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PARAMETER ESTIMATION AND APPLICATIONS FOR A GENERALISATION OF THE BETA‐BINOMIAL DISTRIBUTION
Australian Journal of Statistics, 1988SummaryA 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 ...
P. Danaher
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