On asymptotic properties of the distribution of the number of pairs of H-connected tuples
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AbstractThe main result of this paper is a theorem about convergence of the distribution of the number of pairs of H-connected s-tuples in two independent sequences of independent identically distributed variables. The concept of H-connection is a generalisation of the concept of H-equivalence of tuples. We give sufficient conditions for convergence and an explicit estimate of the rate of convergence. We use the local variant of the Chen-Stein method for estimating the accuracy of Poisson approximation for distribution of the set of dependent random indicators. The main results of this paper were announced in [7].The research was supported by the Russian Foundation for Basic Research, grants 02-01-00266 and 00-15-96136.
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