EMPIRICAL SPECTRAL PROCESSES AND THEIR APPLICATIONS TO STATIONARY POINT PROCESSES
成果类型：
Article
署名作者：
Eichler, Michael
署名单位：
Ruprecht Karls University Heidelberg
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/aoap/1177004610
发表日期：
1995
页码：
1161-1176
关键词：
摘要：
We consider empirical spectral processes indexed by classes of functions for the case of stationary point processes. Conditions for the measurability and equicontinuity of these processes and a weak convergence result are established. The results can be applied to the spectral analysis of point processes. In particular, we discuss the application to parametric and nonparametric spectral density estimation.
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