Non‐normal bivariate densities with normal marginals and linear regression functions *

F. H. Ruymgaart

Statistica Neerlandica, 1973, vol. 27, issue 1, 11-17

Abstract: Summary It is well known that for a bivariate density in order to be bivariate normal, the possession of univariate normal marginal densities alone is not sufficient. In this paper it will be shown by means of some counterexamples that the additional requirement of linearity of the regression functions does not supply a sufficient condition either.

Date: 1973
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