a1 Statistical Laboratory, University of Cambridge, 16 Mill Lane, Cambridge, England.
a2 Department of Mathematical Statistics, University of Sydney, New South Wales 2006, Australia.
A set of conditions for the almost sure convergence of a stochastic iterative procedure is given. The conditions are framed in terms of the behaviour of the random adjustment made the n-th step rather than in terms of some underlying regression model.
(Received December 20 1985)