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Limiting behavior of some measures of system availability

Part of: Special processes Survival analysis and censored data

Published online by Cambridge University Press:  14 July 2016

Jie Mi
Jie Mi*
Affiliation:
Florida International University
*
∗Department of Statistics, Florida International University, University Park, Miami FL 33199, USA.
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Abstract

Availability is an important characteristic of a system. Different types of availability are defined. For the case when a sequence of bivariate random variables of lifetime and repair time are i.i.d. certain properties have been established previously. In practice, however, we need to consider the situation where these bivariate random variables are independent but not identically distributed. Properties of two measures of availability for the i.i.d. case are extended to this more general case.

Keywords

STABLE AVAILABILITYAVERAGE AVAILABILITYDOMINATED SEQUENCE OF RANDOM VARIABLESSTRONG LAW OF LARGE NUMBERSASYMPTOTIC NORMALITY

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 62N05: Reliability and life testing
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 2 , June 1995 , pp. 482 - 493
Copyright
Copyright © Applied Probability Trust 1995 

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