The Statistical Analysis of Failure Time Data

@article{George2003TheSA,
  title={The Statistical Analysis of Failure Time Data},
  author={Laurence L. George},
  journal={Technometrics},
  year={2003},
  volume={45},
  pages={265 - 266}
}
  • L. George
  • Published 1 August 2003
  • Computer Science
  • Technometrics
Chapter 5, “Inference Procedures for Log-Location-Scale Distributions,” is concerned with likelihood-based inference under various censoring schemes for the important case where the logarithm of the lifetime is modeled with a location-scale distribution. The Weibull, extreme value, lognormal, and loglogistic distributions are discussed. In addition, two distributions with an additional parameter, the generalized log-Burr and the generalized log-gamma, are discussed. Chapter 6, “Parametric… 

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References

SHOWING 1-3 OF 3 REFERENCES
Statistical Methods in Reliability
TLDR
Some of the advances made during the past 25 years in the statistical treatment of reliability problems are reviewed and some where work is needed are suggested.
Problem Solving Tools REFERENCES Nelson, W
  • 1990