Publication Cover
Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 35, 2003 - Issue 1
15
Views
5
CrossRef citations to date
0
Altmetric
Articles

Prediction Bounds in Accelerated Life Testing: Weibull Models with Inverse Power Relationship

&
Pages 89-103 | Published online: 16 Feb 2018

References

  • Achcar, J. A. (1991). “Use of Predictive Densities in Quality Control with Accelerated Life Tests Assuming a Power Rule Model and an Exponential Distribution”. Revista de la Sociedad Chilena de Estadistica 8(2), pp. 57–65.
  • Bain, L. J. (1972). “Inferences Based on Censored Sampling From the Weibull or Extreme-Value Distribution”. Technometrics 14, pp. 693–702.
  • Bain, L. J. and Engelhardt, M. (1991). Statistical Analysis of Reliability and Life-Testing Models, Theory and Methods, 2nd ed. Marcel Dekker, Inc., New York, NY.
  • Bjornstad, J. F. (1990). “Predictive Likelihood: A Review”. Statistical Science 5, pp. 242–265.
  • Chernoff, H. (1962). “Optimal Accelerated Life Designs for Estimation”. Technometrics 4, pp. 381–408.
  • Engelhardt, M. and Bain, L. J. (1977). “Simplified Statistical Procedures for the Weibull or Extreme-Value Distribution”. Technometrics 19, pp. 323–331.
  • Engelhardt, M. and Bain, L. J. (1982). “On Prediction Limits for Samples From a Weibull or Extreme-Value Distribution”. Technometrics 24, pp. 147–150.
  • Fertig, K. W.; Meyer, M. E.; and Mann, N. R. (1980). “On Constructing Prediction Intervals for Samples from a Weibull or Extreme Value Distribution”. Technometrics 22, pp. 567–573.
  • Geisser, S. (1993). Predictive Inference: An Introduction (Monographs on Statistics and Applied Probability, 55). Chapman Hall, New York, NY.
  • Jayawardhana, A. A. (1998). “Predictive Density Estimation in Life Testing”. Unpublished Ph.D. Dissertation, University of Missouri-Rolla, Rolla, MO.
  • Lejeune, M. and Faulkenberry, G. D. (1982). “A Simple Predictive Density Function”. Journal of the American Statistical Association 77, pp. 654–657.
  • Little, R. E. and Jebe, E. H. (1969). “A Note on the Gain in Precision for Optimal Allocation in Regression as Applied to Extrapolation in S-N Fatigue Testing”. Technometrics 11, pp. 389–392.
  • Mann, N. R. (1972). “Design of Over-Stress Life-Test Experiments When Failure Times Have the Two-Parameter Weibull Distribution”. Technometrics 14, pp. 437–451.
  • Meeker, W. Q. and Escobar, L. A. (1998). Statistical Methods for Reliability Data. John Wiley, New York, NY.
  • Meeker, W. Q. and Hahn, G. J. (1985). “How to Plan Accelerated Life Tests: Some Practical Guidelines”. ASQC Basic References in Quality Control: Statistical Techniques, Vol. 10. American Society of Quality Control, Milwaukee, WI.
  • Meeker, W. Q. and Nelson, W. (1975). “Optimum Accelerated Life-Tests for the Weibull and Extreme Value Distributions”. IEEE Transactions on Reliability 24, pp. 321–332.
  • Nelson, W. (1972). “Graphical Analysis of Accelerated Life Test Data with the Inverse Power Law Model”. IEEE Transactions on Reliability 21, pp. 2–11.
  • Nelson, W. (1990). Accelerated Testing: Statistical Models, Test Plans, and Data Analyses. John Wiley, New York, NY.
  • Nelson, W. and Kielpinski, T. J. (1976). “Theory for Optimum Censored Accelerated Life Tests for Normal and Log-normal Life Distributions”. Technometrics 18, pp. 105–114.
  • Nelson, W. and Meeker, W. Q. (1978). “Theory for Optimum Accelerated Censored Life Tests for Weibull and Extreme Value Distributions”. Technometrics 20, pp. 171–177.

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.