Abstract

Abstract : To assess the dependence structure in a stationary bivariate point process the second-order distribution can be very useful. We prove that the natural estimates of this distribution, based on a realization A1 A2 ... Asub A, B1 B2 ... B sub b are asymptotically normal, and we present a method for constructing approximate confidence intervals for this distribution. Keywords: Bivariate point process; Ripley's K-function; cross-intensity function; Stationary point process; stationary sequence.

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