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Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions. [PDF]

MethodsX
Abdulnabi FF, Al-Janaby HF, Ghanim F.
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PROPORTION DIFFERENCES USING THE BETA-BINOMIAL DISTRIBUTION

, 2013
Maharry, Timothy J.
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The two-dimensional beta binomial distribution

Statistics & Probability Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bibby, Bo Martin, Væth, M.
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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., Martínez-Rodríguez, A. M., Conde-Sánchez, A., Rodríguez-Avi, J.   +3 more
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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
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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
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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, Lawrence L. Kupper, Christopher Portier, Michael D. Hogan   +3 more
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Empirical-distribution-function Tests for the Beta-Binomial Model

Journal of Applied Statistics, 2007
Abstract Empirical-distribution-function (EDF) goodness-of-fit tests are considered for the beta-binomial model. The testing procedures based on EDF statistics are given. A Monte Carlo study is conducted to investigate the accuracy and power of the tests against various alternative distributions.
Chien-Tai Lin, Cheng-Chieh Chou
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