123
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Estimating Percentiles of Time-to-Failure Distribution Obtained from a Linear Degradation Model Using Kernel Density Method

, &
Pages 1811-1822 | Received 02 Sep 2008, Accepted 25 Jun 2009, Published online: 09 Dec 2009

References

  • Al-Haj Ebrahem , M. ( 2007 ). Estimating the variance components of accelerated degradation models . Journal of Applied Statistical Science 15 ( 2 ): 191 – 198 .
  • Al-Haj Ebrahem , M. , Higgins , J. ( 2005 ). Non-parametric analysis of a proportional wearout model for accelerated degradation data . Applied Mathematics and Computation 174 : 365 – 373 .
  • Alodat , M. , Al-Haj Ebrahem , M. ( 2009 ). Ranked set sampling technique to estimate a time-to-failure distribution of a linear degradation model. To appear in Journal of Applied Statistical Science 17(1) .
  • Efron , B. , Tibshirani , R. ( 1993 ). An Introduction to the Bootstrap . London : Chapman and Hall .
  • Escobar , L. A. , Meeker , W. Q. ( 2006 ). A review of accelerated test models . Statistical Science 21 : 552 – 577 .
  • Lu , C. J. , Meeker , W. Q. ( 1993 ). Using degradation measures to estimate a time to failure distribution . Technometrics 35 : 161 – 174 .
  • Meeker , W. Q. , Escobar , L. A. ( 1998 ). Statistical Methods for Reliability Data . New York : John Wiley and Sons, Inc .
  • Meeker , W. Q. , Escobar , L. A. , Lu , C. J. ( 1998 ). Accelerated degradation tests: modeling and analysis . Technometrics 40 : 89 – 99 .
  • Meeker , W. Q. , LuValle , M. J. ( 1995 ). An accelerated life test model based on reliability kinetics . Technometrics 37 : 133 – 146 .
  • Oliveria , V. R. B. , Colosimo , E. A. ( 2004 ). Comparison of methods to estimate the time-to-failure distribution in degradation tests . Quality and Reliability Engineering International 20 : 363 – 373 .
  • Silverman , B. W. ( 1986 ). Density Estimation for Statistics and Data Analysis . London : Chapman and Hall .
  • Wand , M. P. , Jones , M. C. ( 1995 ). Kernel Smoothing . London : Chapman and Hall .
  • Wu , S. J. , Shao , J. ( 1999 ). Reliability analysis using the least square method in nonlinear mixed-effect degradation models . Statistica Sinica 9 : 855 – 877 .

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.