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Statistical properties of a system reliability estimator using the Littlewood software reliability model

Part of:Parametric inferenceSurvival analysis and censored dataStochastic processes

Published online by Cambridge University Press:  14 July 2016

Marcus A. Agustin
Marcus A. Agustin*
Affiliation:
Southern Illinois University, Edwardsville
*
∗ Postal address: Department of Mathematics and Statistics, Southern Illinois University, Edwardsville, IL 62026, USA. Email address: magusti@siue.edu
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Abstract

This paper considers a competing risks system with p pieces of software where each piece follows the model by Littlewood (1980) described as follows. The failure rate of a piece of software relies on the residual number of bugs remaining in the software where each bug produces failures at varying rates. In effect, bugs with higher failure rates tend to be observed earlier in the testing period. Tasks are assigned to the system and the task completion times as well as the software failure times are assumed to be independent of each other. The system is observed over a fixed testing period and the system reliability upon test termination is examined. An estimator of the system reliability is presented and its asymptotic properties as well as finite-sample properties are obtained.

Keywords

Counting processseries systemsoftware reliability

MSC classification

Primary:62N05: Reliability and life testing
Secondary:60G55: Point processes62F12: Asymptotic properties of estimators

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 40 , Issue 3 , September 2003, pp. 766 - 778
Copyright
Copyright © Applied Probability Trust 2003 

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