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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Empirical Bayesian analysis of paired high-throughput sequencing data with a beta-binomial distribution. [PDF]
BMC Bioinformatics, 2013 Pairing of samples arises naturally in many genomic experiments; for example, gene expression in tumour and normal tissue from the same patients. Methods for analysing high-throughput sequencing data from such experiments are required to identify differential expression, both within paired samples and between pairs under different experimental ...
Hardcastle TJ, Kelly KA.
europepmc +9 more sources
An Alternative to the Beta-Binomial Distribution with Application in Developmental Toxicology [PDF]
Journal of the Iranian Statistical Society, 2021 . The beta-binomial distribution is resulted when the probability of success per trial in the binomial distribution varies in successive trials and the mixing distribution is from the beta family. For experiments with binary outcomes, often it may happen
Mehdi Razzaghi
semanticscholar +4 more sources
Decision-theoretic designs for a series of trials with correlated treatment effects using the Sarmanov multivariate beta-binomial distribution. [PDF]
Biom J, 2018 The motivation for the work in this article is the setting in which a number of treatments are available for evaluation in phase II clinical trials and where it may be infeasible to try them concurrently because the intended population is small.
Hee SW, Parsons N, Stallard N.
europepmc +4 more sources
Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions [PDF]
Axioms, 2022 In the present paper, due to beta negative binomial distribution series and Laguerre polynomials, we investigate a new family FΣ(δ,η,λ,θ;h) of normalized holomorphic and bi-univalent functions associated with Ozaki close-to-convex functions.
Isra Al-Shbeil +3 more
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The sampling distribution of the maximum likelihood estimators for the parameters of beta-binomial distribution [PDF]
International Mathematical Forum, 2013 In this paper sampling distributions for the maximum likelihood estimators of the Beta- Binomial model are obtained numerically using approximate random numbers from the Beta-Binomial distribution. STATGRAPHICS package is used to obtain the best fitted distributions using Chi-square and Kolmogorov-Smirnov tests.
Samia Salem, Wael S. Abu El Azm
semanticscholar +3 more sources
NEGATIVE BINOMIAL APPROXIMATION TO THE BETA BINOMIAL DISTRIBUTION [PDF]
International Journal of Pure and Apllied Mathematics, 2015 This paper determines a bound on the approximation of the beta binomial distribution with parameters n, andby a negative binomial distri- bution with parametersand + + +n . With this bound, it is indicated that the beta binomial distribution can be well approximated by the negative binomial distribution whenis large.
K. Teerapabolarn
semanticscholar +3 more sources
Statistical Inference of the Beta Binomial Exponential 2 Distribution with Application to Environmental Data [PDF]
Axioms, 2022 A new four-parameter lifetime distribution called the beta binomial exponential 2 (BBE2) distribution is proposed. Some mathematical features, including quantile function, moments, generating function and characteristic function, of the BBE2 distribution,
Osama H. Mahmoud Hassan +3 more
doaj +3 more sources
A measure for spatial heterogeneity of a grassland vegetation based on the beta‐binomial distribution [PDF]
Journal of Vegetation Science, 2000 Abstract.A method is proposed to estimate the frequency and the spatial heterogeneity of occurrence of individual plant species composing the community of a grassland or a plant community with a short height. The measure is based on the beta‐binomial distribution.
Masae Shiyomi +2 more
semanticscholar +4 more sources
Journal of ICT, 2021 Acceptance sampling is a technique for statistical quality assurance based on the inspection of a random sample to decide the lot disposition: accept or reject. Producer’s risk and consumer’s risk are inevitable in acceptance sampling.
Waqar Hafeez, Nazrina Aziz
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