A new bivariate beta distribution

A new bivariate beta distribution capable of providing better fits than all its competitors is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and conditional moments. The method of maximum likelihood is used to der...

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Bibliographic Details
Published inStatistics (Berlin, DDR) Vol. 51; no. 2; pp. 455 - 474
Main Authors Nadarajah, Saralees, Shih, Shou Hsing, Nagar, Daya K.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 04.03.2017
Taylor & Francis Ltd
Subjects
Beta
Bivariate analysis
Estimating techniques
Estimation
pollen count
Probability distribution functions
product moments
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Summary:A new bivariate beta distribution capable of providing better fits than all its competitors is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and conditional moments. The method of maximum likelihood is used to derive the associated estimation procedure. Applications to six bivariate data sets are illustrated.
ISSN:0233-1888
1029-4910
DOI:10.1080/02331888.2016.1240681