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Empirical Spectral Processes and their Applications to StationaryPoint Processes

Eichler, Michael

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Abstract

We consider empirical spectral processes indexed by classes offunctions for the case of stationary point processes. Conditions for themeasurability and equicontinuity of these processes and a weak convergence resultare established. The results can be applied to the spectral analysis of pointprocesses. In particular, we discuss the application to parametric andnonparametric spectral density estimation.

Item Type: Working paper
Place of Publication: Heidelberg
Date Deposited: 13 Jun 2016 08:54
Date: 1995
Number of Pages: 16
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Subjects: 510 Mathematics
Schriftenreihe ID: Beiträge zur Statistik > Beiträge
Additional Information: Erschienen in: Annals of Applied Probability 5 (1995), 1161-1176
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