Security systems and renewal processes

Barnett, V. and Kenward, Michael G. (1996) Security systems and renewal processes. Communications in Statistics-Theory and Methods, 25 (3). pp. 475-487. ISSN 0361-0926. (The full text of this publication is not available from this repository)

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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
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: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: M.A. Ziai
Date Deposited: 16 May 2009 17:21
Last Modified: 11 Jul 2014 09:19
Resource URI: http://kar.kent.ac.uk/id/eprint/18803 (The current URI for this page, for reference purposes)
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