Correlated Binomial Models and Correlation Structures

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dc.creatorHisakado, M.
dc.creatorKitsukawa, K.
dc.creatorMori, S.
dc.date2006-05-22
dc.date.accessioned2026-07-07T07:15:05Z
dc.date.available2026-07-07T07:15:05Z
dc.descriptionWe discuss a general method to construct correlated binomial distributions by imposing several consistent relations on the joint probability function. We obtain self-consistency relations for the conditional correlations and conditional probabilities. The beta-binomial distribution is derived by a strong symmetric assumption on the conditional correlations. Our derivation clarifies the 'correlation' structure of the beta-binomial distribution. It is also possible to study the correlation structures of other probability distributions of exchangeable (homogeneous) correlated Bernoulli random variables. We study some distribution functions and discuss their behaviors in terms of their correlation structures.
dc.description12 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/physics/0605189
dc.identifierhttp://arxiv.org/abs/physics/0605189
dc.identifierJ.Phys.A:Math.Gen.39(2006)15365-15378
dc.identifierdoi:10.1088/0305-4470/39/50/005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113135
dc.subjectData Analysis, Statistics and Probability
dc.titleCorrelated Binomial Models and Correlation Structures
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