176
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Tolerance intervals for exponentiated scale family of distributions

, &
Pages 1067-1074 | Published online: 20 Aug 2006

References

  • Atwood , C. L. 1984 . Approximate tolerance intervals based on maximum likelihood estimator . Journal of American Statistical Association , 79 : 459 – 465 .
  • Bain , L. J. 1978 . Statistical Analysis of Reliability and Life Testing Model , New York : Marcel Dekker .
  • Bain , L. J. and Weeks , D. L. 1965 . Tolerance limits for generalised gamma distribution . Journal of American Statistical Association , 60 : 1142 – 1152 .
  • Cramer , H. 1946 . Mathematical Methods of Statistics , Princeton, NJ : Princeton University Press .
  • Guenther , W. C. 1972 . Tolerance intervals for univariate distributions . Naval Research Logistic Quarterly , 19 : 309 – 333 .
  • Gupta , R. D. and Kundu , D. 1999 . Generalized exponential distribution . Australian and New Zealand Journal of Statistics , 41 ( 2 ) : 173 – 188 .
  • Gupta , R. D. and Kundu , D. 2001 . Exponentiated Exponential family: an alternative to Gamma and Weibull Distributions . Biometrical Journal , 423 ( 1 ) : 117 – 130 .
  • Gupta , R. C. 1998 . Modeling failure time data by Lehamann alternatives . Communication in Statistics, Theory and Methods , 27 : 887 – 904 .
  • Jilek , M. 1981 . A bibliography of statistical tolerance regions . Mathematische Operationsforschung und Statistik – Series Statistics , 12 : 441 – 456 .
  • Kumbhar , R. R. and Shirke , D. T. 2004 . Tolerance limits for lifetime distribution of k-unit parallel system . Journal of Statistical Computations and Simulations , 74 ( 3 ) : 201 – 213 .
  • Lawless , J. F. 1982 . Statistical Models and Methods for Lifetime Data , New York : Wiley .
  • Lehmann , E. L. 1953 . The power of Rank tests . Annals of Mathematical Statistics , 24 : 23 – 43 .
  • Mudholkar , G. S. 1995 . The exponentiated Weibull family: a reanalysis of the bus-motor failure data . Technometrics , 37 : 436 – 445 .
  • Patel , J. K. 1986 . Tolerance interval – a review . Communications in Statistics, Theory and Method , 15 ( 19 ) : 2719 – 2762 .
  • Wilks , S. S. 1941 . Determination of sample sizes for setting tolerance limits . Annals of Mathematical Statistics , 12 : 91 – 96 .

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.