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PARAMETER ESTIMATION AND APPLICATIONS FOR A GENERALISATION OF THE BETA‐BINOMIAL DISTRIBUTION

The 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 ...
exaly   +2 more sources

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

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.
Bruce Hardie, Peter J Danaher
exaly   +3 more sources

A generalization of the bivariate Beta-Binomial distribution

Journal of Statistical Planning and Inference, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olmo-Jiménez, M. J.   +3 more
openaire   +1 more source

A Stabilized Moment Estimator for the Beta-Binomial Distribution

Biometrics, 1987
The beta-binomial distribution has been proposed as a model for the incorporation of historical control data in the analysis of rodent carcinogenesis bioassays. Low spontaneous tumor incidences along with the small number and sizes of historical control groups combine to make the moment and maximum likelihood estimates of the beta-binomial parameters ...
R N, Tamura, S S, Young
openaire   +2 more sources

Library book circulation and the beta-binomial distribution

Journal of the American Society for Information Science, 1987
Library 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.
E. Gelman, H. S. Sichel
openaire   +2 more sources

Moment estimators for the beta-binomial distribution

Journal of Applied Statistics, 1992
A 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
openaire   +1 more source

The two-dimensional beta binomial distribution

Statistics & Probability Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bibby, Bo Martin; id_orcid 0000-0002-4742-4076   +1 more
openaire   +2 more sources

Using the beta-binomial distribution for the analysis of biometric identification

2015 IEEE 13th International Symposium on Intelligent Systems and Informatics (SISY), 2015
In this paper we presented a method which could be used in the testing process of biometric devices on the side of users and costumers. The failed events during the biometrical identification are more common than the literature data, however there isn't any standard or widely accepted manual for the examinations.
Gabor A. Werner, László Hanka
openaire   +1 more source

Unimodal Behavior of the Negative Beta Binomial Distribution

Sigmae, 2015
Neste artigo apresenta-se um estudo sobre o comportamento da distribuição BetaBinomial Negativa em relação a sua moda. Aplica-se este estudo quando essa distribuição é dada através de uma distribuição hipergeométrica equivalente multiplicada pela verossimilhança cada distribuição Binomial Negativa.
Pedro F. Lima   +2 more
openaire   +1 more source

Estimation Bias Using the Beta-Binomial Distribution in Teratology

Biometrics, 1988
Kupper 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
openaire   +3 more sources

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