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June, 1989 On Estimating the Dependence Between Two Point Processes
Hani Doss
Ann. Statist. 17(2): 749-763 (June, 1989). DOI: 10.1214/aos/1176347140

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 $A_1 < A_2 < \cdots < A_{n_A}, B_1 < B_2 < \cdots < B_{n_B}$ are asymptotically normal and we present a method for constructing approximate confidence intervals for this distribution.

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Hani Doss. "On Estimating the Dependence Between Two Point Processes." Ann. Statist. 17 (2) 749 - 763, June, 1989. https://doi.org/10.1214/aos/1176347140

Information

Published: June, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0672.62088
MathSciNet: MR994265
Digital Object Identifier: 10.1214/aos/1176347140

Subjects:
Primary: 62M09
Secondary: 62G05, 62G10, 62M07

Rights: Copyright © 1989 Institute of Mathematical Statistics

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Vol.17 • No. 2 • June, 1989
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