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Security systems and renewal processes

Barnett, V., Kenward, Michael G. (1996) Security systems and renewal processes. Communications in Statistics-Theory and Methods, 25 (3). pp. 475-487. ISSN 0361-0926. (doi:10.1080/03610929608831708) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:18803)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
https://doi.org/10.1080/03610929608831708

Abstract

An interesting feature of successive inter-event times in a Poisson renewal process, when observed through a superimposed (possibly random) grid, can be interpreted as an extended form of the 'inspection paradox'. Probabilistic measures are determined and an estimation and testing procedure is outlined which could be used to examine possible departure from randomness (Poisson form). The problem arose from study of security systems and the results have important applications in that field.

Item Type: Article
DOI/Identification number: 10.1080/03610929608831708
Uncontrolled keywords: heterogenous Poisson process; renewal process; inspection paradox; maintenance; security and burglar alarms
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: M.A. Ziai
Date Deposited: 16 May 2009 17:21 UTC
Last Modified: 09 Mar 2023 11:31 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/18803 (The current URI for this page, for reference purposes)

University of Kent Author Information

Kenward, Michael G..

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