Results 21 to 30 of about 149,559 (301)
AN IMPROVED BINOMIAL APPROXIMATION FOR THE BETA BINOMIAL DISTRIBUTION [PDF]
K. Teerapabolarn
semanticscholar +3 more sources
Generalised score distribution: underdispersed continuation of the beta-binomial distribution [PDF]
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
openalex +3 more sources
Generalised Score Distribution: Underdispersed Continuation of the Beta-Binomial Distribution [PDF]
Consider 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 , … , 5 } or $$\{-3, -2, \ldots , 2,
Bogdan Ćmiel +3 more
openalex +3 more sources
Interval estimation of the marginal probability of success for the beta-binomial distribution [PDF]
Correlated binomial outcomes occur in many areas such as teratology and marketing. We study the problem of confidence interval estimation of the common marginal probability of success for correlated binary observations, focusing on the beta-binomial model.
David Wypij, Thomas J. Santner
openalex +4 more sources
Bernstein-type approximation using the beta-binomial distribution
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 +4 more sources
Application of the Beta-Binomial Distribution for Statistical Processing of Student Grades [PDF]
Statistical processing of students' grades is used to solve various problems in managing the educational process. Traditional methods of mathematical statistics do not correspond to the properties of student grades. The paper proposes to adapt the IRT models for describing grades to improve the whole process. A model based on beta-binomial distribution
Vladimir Bratischenko
openalex +2 more sources
Four tests of fit for the beta-binomial distribution
Tests based on the Anderson–Darling statistic, a third moment statistic and the classical Pearson–Fisher X 2 statistic, along with its third-order component, are considered. A small critical value and power study are given. Some examples illustrate important applications.
D. J. Best +2 more
openalex +5 more sources
In the present paper, we introduce and study a subclass of analytic and univalent functions associated with Beta negative binomial distribution series which is defined in the open unit disk U.
Abbas Kareem Wanas +1 more
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Bayesian Estimation of the Shape Parameters of Mcdonald Generalized Beta-Binomial Distribution
The paper explores and establishes a unique Bayesian framework for estimating three shape parameters of the McDonald generalized beta-binomial distribution. The mixture distribution is used in modelling overdispersed binomial data. Foundations of the framework have been enriched by knowledge of Bayesian statistics and Markov Chain Monte Carlo methods ...
Immaculate Kathomi Murithi +3 more
openalex +3 more sources
A Generalization of the Beta–Binomial Distribution
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 ...
José Rodríguez-Avi +3 more
semanticscholar +6 more sources

