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A shot process by burst properties

Published online by Cambridge University Press:  01 July 2016

James H. Gilchrist  and
John B. Thomas
James H. Gilchrist
Affiliation:
Princeton University
John B. Thomas
Affiliation:
Princeton University
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Abstract

A shot process with bursts of events is constructed using an occurrence time structure similar to that of clustering point processes. The characteristic function and a simple functional form for the power spectral density of the process are found. It is shown that the burst property might not be observable. Applications of a specific example of this process are given in modeling a 1/f noise commonly found in some electronic components.

Keywords

SHOT PROCESSES1/ωNOISECLUSTERING POINT PROCESS
Type
Research Article
Information
Advances in Applied Probability , Volume 7 , Issue 3 , September 1975 , pp. 527 - 541
Copyright
Copyright © Applied Probability Trust 1975 

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