J. Japan Statist. Soc., Vol. 35 (No. 1), pp. 1-19, 2005

Equivalence of Artial and Conditional Correlation Coefficients

Kunihiro Baba and Masaaki Sibuya

Abstract. Some classes of multivariate distributions,which have the same partial and conditional correlation coefficients,are obtained. In one class,the sum of components is fixed and all the components have negative correlation coefficients. Another class is constructed as mixtures of independent samples from the NEF-QVF mixed by conjugate prior,and all the components are positively correlated. Implications of the equivalence of partial and conditional covariances,and simple covariance structures are brie fly discussed.

Key words and phrases: Conjugate prior, generalized Pareto distributions, Morris class,negative dependence, negative multinomial distributions, Neyman type A distributions, positive dependence by mixture.

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