Zero-crossing intervals of Gaussian and symmetric stable processes

The zero-crossing problem is the determination of the probability density function of the intervals between the successive axis crossings of a stochastic process. This thesis studies the properties of the zero-crossings of stationary processes belonging to the symmetric-stable class of Gaussian and...

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Bibliographic Details
Main Author: Cao, Yufei
Format: Thesis (University of Nottingham only)
Language:English
Published: 2017
Online Access:https://eprints.nottingham.ac.uk/39997/
Description
Summary:The zero-crossing problem is the determination of the probability density function of the intervals between the successive axis crossings of a stochastic process. This thesis studies the properties of the zero-crossings of stationary processes belonging to the symmetric-stable class of Gaussian and non-Gaussian type, corresponding to the stability index nu=2 and 0<nu<2 respectively.