In Quest of the Distributional Properties of Reliability Rate

Pillai N., Vijayamohanan (2008): In Quest of the Distributional Properties of Reliability Rate.

Abstract

Reliability in its broad sense refers to the probability that a component or system is able to perform its intended function satisfactorily during a specified period of time under normal operating conditions. It is estimated as the fraction of time the unit/system is available for operation. For practical purposes, reliability rate is estimated using maximum likelihood estimator (MLE) from sample observations.. No study has gone beyond this to analyze the statistical properties of the MLE of R; the present study is an attempt at such a quest.

• Item Type: MPRA Paper
• Language: English
• Keywords: Reliability, Maximum likelihood estimator, statistical properties
• Subjects: C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C46 - Specific Distributions ; Specific Statistics

References

1. Bazovsky, Igor (1961) Reliability Engineering and Practice. Prentice hall Space Technological series, Prentice Hall, Englewood Cliffs, NJ.

2. Kendall, M. G., and Stuart, A., (1967), The Advanced Theory of Statistics, Vol. II, 2nd Edition, Hafner, New York. Ch. 18.

3. Pillai, N. Vijayamohanan, (1991), Seasonal Time-of-Day Pricing of Electricity under Uncertainty - A Marginalist Approach to Kerala Power System. Ph. D. Thesis. University of Madras. Ch.4.

4. Zehna, P. (1966), `Invariance of Maximum Likelihood Estimation', Annals of Mathematical Statistics, Vol. 37, p. 744.