(Received February 28, 1992; revised September 2, 1992)
Abstract. In this paper, upper bounds on the probabilities of wrong determination of the rank of covariance matrix of random effects in one-way random effects models are given, based on the information theoretic criterion. Under weak conditions, the bounds are shown of exponential-type.
Key words and phrases: Rate of convergence, information theoretic criterion, one-way random effects model, rank determination.