- BernardoJ. M. and SmithA. F. M. (1994). Bavesian Theory, John Wiley & Sons, New York.
- EnginarlarE., LiJ., MeerkovS. M. and ZhangR. Q. (2002). “Buffer capacity for accommodating machine downtime in serial production lines,” International Journal of Production Research, 40, pp. 601–624.
- JonesJ. and HayesJ. (2001). “Estimation of system reliability using a “nonconstant failure rate” model,” IEEE Transaction on Reliability, 50, pp. 286–288.
- KeepingE. S. (1962). Introduction to Statistical Inference, Van Nostrand, New York.
- LindleyD. V. (1965). Introduction to Probability and Statistics From a Bayesian View Point, Part 2 Inference, Cambridge University Press, London, Section 5.1.
- MannN. R., SchaferR.C., and SingpurwallaN. D. (1974). Methods for Statistical Analysis of Reliability and Life Data, John Wiley & Sons, New York.
- MendelM. B. (1992). “Bayesian Parametric Models for Lifetimes,” In BernardoJ. M., BergerJ. O., DawidA. P., and SmithA. F. M., editors, Bayesian Statistics, 4, 697–705, Oxford University Press.
- O'HoganA.(1994). Kendall's Advanced Theory of Statistics Vol. 2B. Bayesian Inference, Edward Arnold, London.
- PenskyM. and SinghR. S. (1999). “Empirical Bayes Estimation of Reliability Characteristics for an Exponential Family,” The Canadian Journal of Statistics, 27, pp. 127–136.
- SinghN. (1994). “Forecasting time-dependent failure rates of systems operating in series and/or parallel,” Microelectronics and Reliability, 34, pp.391–403.
- SpringerM. D. and ThompsonW. E. (1966). “Bayesian Confidence Limits for the Product of N Binomial Parameters,” Biometrika, 53, pp. 611–614.
- SpringerM. D. and ThompsonW. E. (1967). “Bayesian Confidence Limits for the Reliability of Cascade Exponential Subsystem,” IEEE Transactions on Reliability, R-16, pp. 86–89.
- SpringerM. D. and ThompsonW. E. (1972). “A Bayes Analysis of Availability of Availability for a System Consisting of Several Independent Subsystems,” IEEE Transactions on Reliability, R-21, pp. 212–214.
- SpringerM. D. and Cabuk (Çabukoğlu)S. (1992). “Distribution Identification, Analysis, and Approximation via Mellin Transforms,” American Journal of Mathematical and Management Sciences, 12, pp. 321–350.
- SpringerM. D. (1979). The Algebra of Random Variables, John Wiley & Sons, New York.
- SugiuraN. (1995). “Exact nonnull distributions of sphericity tests for trivariate normal population with power comparison,” American Journal of Mathematical and Management Sciences, 15, pp. 355–374.
- ZequeriaR. and ValdezJ. (2001). “An approach for the Bayesian estimation in the case of ordered piecewise constant failure rates,” Reliability Engineering & System Safety, 72, pp. 227–240.
The Log Gamma Distribution in the Reliability Analysis of Highly Reliable Systems
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.