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Bernstein-type approximation using the beta-binomial distribution
Statistica, 2013 The Bernstein-type approximation using the beta-binomial distribution is proposed and studied. Both univariate and multivariate Bernstein-type approximations are studied. The uniform convergence and the degree of approximation are studied.
Andrea Pallini
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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.
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Estimation of habitual intake of infrequently consumed nutrients using the mixture distribution method [PDF]
Frontiers in NutritionBackgroundThe habitual intake of infrequently consumed nutrients typically exhibits a highly skewed distribution, primarily driven by the reported consumption and non-consumption of nutrients in repeated 24-h dietary recalls.
Smitha Joseph +4 more
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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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Journal of Biostatistics and Epidemiology, 2023 Introduction: Although geometric distribution, which is a special case of Negative Binomial (NB) distribution, also belongs to the discrete family of distributions, little attention has been paid to modeling count data with the geometric distribution ...
Zainab Al-Balushi +2 more
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A non-uniform bound on binomial approximation to the beta binomial cumulative distribution function [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper uses Stein’s method and the characterization of beta binomial random variable to determine a non-uniform bound for the distance between the beta binomial cumulative distribution function with parameters n N, 0 and 0 and the ...
Kanint Teerapabolarn, Khunakorn Sae-Jeng
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Generalised score distribution: underdispersed continuation of the beta-binomial distribution
Statistical Papers, 2023 AbstractConsider a class of discrete probability distributions with a limited support. A typical example of such support is some variant of a Likert scale, with a response mapped to either the $$\{1, 2, \ldots , 5\}$$ { 1 , 2 ,
Bogdan Ćmiel +3 more
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Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation [PDF]
Journal of Statistical Theory and Applications (JSTA), 2013 Multiplicative-binomial distribution is one of the distributions that allows for over-dispersion and under-dispersion relative to the standard binomial distribution.
Elsayed A.H. Elamir
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A Generalization of the Beta–Binomial Distribution
Journal of the Royal Statistical Society Series C: Applied Statistics, 2007 SummaryThe paper describes a distribution generated by the Gaussian hypergeometric function that may be seen as a generalization of the beta–binomial distribution. It is expressed as a generalized beta mixture of a binomial distribution. This new mixing distribution allows the existence of a mode and an antimode, which is very useful for fitting some ...
Rodríguez-Avi, J. +3 more
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A Mechanistic Beta-Binomial Probability Model for mRNA Sequencing Data. [PDF]
PLoS ONE, 2016 A main application for mRNA sequencing (mRNAseq) is determining lists of differentially-expressed genes (DEGs) between two or more conditions. Several software packages exist to produce DEGs from mRNAseq data, but they typically yield different DEGs ...
Gregory R Smith, Marc R Birtwistle
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