Abstract
Given a positive definite (p.d.) matrix with real entries, it is possible to construct a p.d. intraclass matrix whose diagonal and off-diagonal elements are chosen as the averages of the diagonal elements and off-diagonal elements of the former matrix. Exploiting the very special structure of the latter matrix various interesting propositions are established. Statistical applications of such matrices are surveyed.
Acknowledgements
The author is grateful to Prof Ravindra B. Bapat and Prof Steve Kirkland for their unstinting suggestions which led to substantive improvement in this article.