The Power Law Process: A Model for the Reliability of Repairable Systems
- 1 October 1989
- journal article
- research article
- Published by Taylor & Francis in Journal of Quality Technology
- Vol. 21 (4), 251-260
- https://doi.org/10.1080/00224065.1989.11979183
Abstract
The power law process, often misleadingly called the Weibull process, is a useful and simple model for describing the failure times of repairable systems. We present elementary properties of the power law process, such as point estimation of unknown parameters, confidence intervals for the parameters, and tests of hypotheses. It is shown that an appropriate transformation of the failure times can lead to a goodness-of-fit test. We also discuss some of the terminology used for repairable systems and contrast this with terminology used for nonrepairable systems.Keywords
This publication has 22 references indexed in Scilit:
- Tests for an Increasing Trend in the Intensity of a Poisson Process: A Power StudyJournal of the American Statistical Association, 1985
- Confidence Interval Procedures for the Weibull Process With Applications to Reliability GrowthTechnometrics, 1982
- On the Foundations of ReliabilityTechnometrics, 1981
- Comparing Rates of Several Independent Weibull ProcessesTechnometrics, 1980
- Inferences on the Parameters and Current System Reliability for a Time Truncated Weibull ProcessTechnometrics, 1980
- On the W Test for Exponentiality with Origin KnownTechnometrics, 1978
- EDF Statistics for Goodness of Fit and Some ComparisonsJournal of the American Statistical Association, 1974
- A Bayesian Optimal Overhaul Interval Model for the Weibull Restoration Process CaseJournal of the American Statistical Association, 1973
- An Analysis of Variance Test for the Exponential Distribution (Complete Samples)Technometrics, 1972
- On the Kolmogorov-Smirnov Test for the Exponential Distribution with Mean UnknownJournal of the American Statistical Association, 1969