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Distribution of correlation coefficient under mixture normal model
Authors:Daya K Nagar  Mar?´a Eugenia Castañeda
Institution:(1) Departamento de Matemáticas, Universidad de Antioquia, Medellı′n, A. A. 1226, Colombia, CO
Abstract:The present paper obtains the nonnull distribution of the product moment correlation coefficient r when sample is drawn from a mixture of two bivariate Gaussian distributions. The moments of 1−r 2 have been used to derive the nonnull density of r. Received September 2000
Keywords:: Bivariate normal distribution  inverse Mellin transformation  mixture  nonnull distribution  product moment correlation coefficient
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