Is Bootstrap Really Helpful in Point Process Statistics?

Details Is Bootstrap Really Helpful in Point Process Statistics? Is Bootstrap Really Helpful in Point Process Statistics?

2000-02-09

arxiv.org/abs/math/0002061v1

Metrika49:245-255,1999

Mathematics

Statistics Theory

LaTeX, 10 pages

Scientific paper

10.1007/s001840050010

There are some papers which describe the use of bootstrap techniques in point process statistics. The aim of the present paper is to show that the form in which bootstrap is used there is dubious. In case of variance estimation of pair correlation function estimators the used bootstrap techniques lead to results which can be obtained simpler without simulation; furthermore, they differ from the desired results. The problem to obtain confidence regions for the intensity function of inhomogeneous Poisson processes can be easily solved without bootstrap techniques.

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