Comparing Renewal Processes, With Application to Reliability Modeling of Highly Reliable Systems


Tortorella, M.   (1989, ASQC and the American Statistical Association)   AT&T Bell Laboratories, Whippany, NJ

Technometrics    Vol. 31    No. 3
QICID: 9409    August 1989    pp. 357-364
List $10.00
Member $5.00

This article is not available online. Contact us to receive a scan of the archive, in PDF format.

Article Abstract

Elementary methods are used to obtain upper and lower bounds for the different between two renewal functions corresponding to two different life distributions and to obtain various order relationships between them that follow from order relationships on the underlying life distributions. The bounds are used to approximate the value of an unknown renewal function by the value of a known renewal function and to bound the error of approximation by expressions involving the difference between the two underlying life distributions. They are useful mainly in the region where time is small compared with the means of the two distributions, and they therefore supplement the information that can be obtained for large time using the elementary renewal theorem. These results find major application in reliability modeling of highly reliable systems.


Approximation,Statistical methods,Error,Ordering,Stochastic models

Browse QIC Articles Chronologically:     Previous Article     Next Article

New Search

Featured advertisers

ASQ is a global community of people passionate about quality, who use the tools, their ideas and expertise to make our world work better. ASQ: The Global Voice of Quality.