Title: Performance of complex systems in the environment of a random number of competing catastrophic risks

Authors: Panagiotis T. Artikis, Constantinos T. Artikis

Addresses: Warwick Business School, University of Warwick, Coventry, CV 4 7AL, UK; Risk and Reliability Engineering Research Group, University of Bradford, BD 7 1DP, UK. ' Department of Computing and Mathematics, School of informatics, University of Bradford, West Yorkshire, BD 7 1DP, UK

Abstract: This paper makes use of the minimum of a random number of non-negative random variables and a non-negative random variable for formulating a stochastic multiplicative model. Sufficient conditions for evaluating the distribution function of the model are also established. Moreover, the paper provides applications of the formulated model in investigating the performance of a complex system in the environment of a random number of competing and catastrophic risks.

Keywords: complex systems; stochastic modelling; competing risks; non-negative random variables; catastrophic risks.

DOI: 10.1504/IJASS.2009.027662

International Journal of Applied Systemic Studies, 2009 Vol.2 No.3, pp.242 - 249

Published online: 06 Aug 2009 *

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