Discussion of the papers of Professors Pyke and McLeish.

The article examines papers and lectures on statistical applications of methods of weak convergence presented in a Statistical Services Centre (SSC) session. One lecturer discussed two kinds of data which are d-dimensional random variables and random variables indexed by Zd. It adds that the so-called Theorem 2 of another lecturer and its method of proof can be used in statistical applications related to aggregate data resulting from irreducible positive recurrent Markov chains.