(Received November 22, 1991; revised July 13, 1992)
Abstract. Approximations of the estimation variances of kernel estimators of the pair correlation function and the product density of a planar Poisson process are given. Furthermore, a heuristic approximation of the estimation variance of an estimator of the pair correlation function of a ``general" planar point process is suggested. All formulae have been tested by simulation experiments.
Key words and phrases: Approximation, estimation variance, pair correlation function, Poisson process, product density, simulation.