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.
Publié le : 1989-06-14
Classification:
Bivariate point process,
Ripley's $K$-function,
cross-intensity function,
stationary point process,
stationary sequence,
62M09,
62M07,
62G05,
62G10
@article{1176347140,
author = {Doss, Hani},
title = {On Estimating the Dependence Between Two Point Processes},
journal = {Ann. Statist.},
volume = {17},
number = {1},
year = {1989},
pages = { 749-763},
language = {en},
url = {http://dml.mathdoc.fr/item/1176347140}
}
Doss, Hani. On Estimating the Dependence Between Two Point Processes. Ann. Statist., Tome 17 (1989) no. 1, pp. 749-763. http://gdmltest.u-ga.fr/item/1176347140/