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A new bivariate beta distribution
Authors:Saralees Nadarajah  Shou Hsing Shih  Daya K Nagar
Institution:1. School of Mathematics, University of Manchester, Manchester, UK;2. Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE;3. Instituto de Matemáticas, Universidad de Antioquia, Medellín, Colombia
Abstract: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.
Keywords:Estimation  pollen count  product moments
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