Results 1 to 10 of about 30,758 (159)

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 ...
Sáez-Castillo A J, José Rodríguez-Avi, Conde-Sánchez A   +2 more
exaly   +4 more sources

Applicability of regression models for the analysis of ordinal PANSS data in schizophrenia: a cohort study [PDF]

Consortium Psychiatricum
BACKGROUND: There is ongoing debate about the appropriate measurement level for symptom severity scores derived from clinical rating scales. The use of statistically inappropriate analytical methods for such data may distort results and lead to ...
Anton N. Gvozdetskii, Galina A. Prokopovich, Alla E. Dobrovolskaya, Ivan S. Kushnerev, Aleksandr G. Sofronov   +4 more
doaj   +2 more sources

A Bimodal Extension of the Beta-Binomial Distribution with Applications

Axioms
In 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, Josu Najera-Zuloaga, Dae-Jin Lee, Jaime Arrué, Yuri A. Iriarte   +4 more
doaj   +3 more sources

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
doaj   +3 more sources

Statistical Inference of the Beta Binomial Exponential 2 Distribution with Application to Environmental Data

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, Ibrahim Elbatal, Abdullah H. Al-Nefaie, Ahmed R. El-Saeed   +3 more
doaj   +3 more sources

SNP genotyping in Pseudotsuga menziesii and Pinus radiata using targeted genotyping-by-sequencing (GBS): improved Bayesian SNP calling using a beta-binomial distribution and other optimized input parameters [PDF]

BMC Genomics
Background Single-nucleotide polymorphism markers (SNPs) have important applications in gene conservation, breeding, and fundamental genetics research. Our long-term goal is to develop routine approaches for SNP genotyping in forest trees. Ideally, these
Jia Guo, Gancho Slavov, Liam W. Gilson, Douglas A. Maguire, Anna C. Magnuson, Natalie Graham, Tancred Frickey, Glenn T. Howe   +7 more
doaj   +2 more sources

Beta-Geometric Regression for Modeling Count Data on First Antenatal Care Visit (ANC) with Application

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, Amadou Sarr, M. Mazharul Islam   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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, Jakub Nawała, Lucjan Janowski, Krzysztof Rusek   +3 more
openaire   +3 more sources