Advanced search
Publication Cover
Journal of the American Statistical Association Volume 78, 1983 - Issue 383
Submit an article Journal homepage
33
Views
9
CrossRef citations to date
0
Altmetric
Theory and Method

Maximum Likelihood Estimation for Two-Parameter Decreasing Hazard Rate Distributions Using Censored Data

Sam C. Saunders Department of Pure and Applied Mathematics, Washington State University, Pullman, WA, 99164, USA
&
Janet M. Myhre Department of Mathematics, Claremont McKenna College, Claremont, CA, 91711, USA
Pages 664-673 | Received 01 May 1981, Published online: 12 Mar 2012

References

  • Afanas'Ev , N. N. 1940 . “Statistical Theory of the Fatigue Strength of Metals,” . Zhurnal Tekhnicheska Fiziki , 10 : 1553 – 1568 .
  • Barlow , R. E. and Proschan , Frank . 1975 . Statistical Theory of Reliability and Life Testing , New York : Holt, Rinehart and Winston .
  • Cozzolino , John M. 1968 . “Probabilistic Models of Decreasing Failure Rate Processes,” . Naval Research Logistic Quarterly , 15 : 361 – 374 .
  • Davis , H. T. and Feldstein , M. L. 1979 . “The Generalized Pareto Law as a Model for Progressively Censored Survival Data,” . Biometrika , 66 : 299 – 306 .
  • Harris , C. M. and Singpurwalla , N. D. 1968 . “Life Distributions Derived From Stochastic Hazard Functions,” . IEEE Transactions in Reliability , R-17 : 70 – 79 .
  • Harris , C. M. and Singpurwalla , N. D. 1969 . “On Estimation in Weibull Distributions With Random Scale Parameters,” . Naval Research Logistic Quarterly , 16 : 405 – 410 .
  • Kaplan , E. L. and Meier , P. 1958 . “Nonparametric Estimation From Incomplete Observations,” . Journal of the American Statistical Association , 53 : 457 – 481 .
  • Kulldorff , G. and Vännman , K. 1973 . “Estimation of the Location and Scale Parameters of a Pareto Distribution,” . Journal of the American Statistical Association , 68 : 218 – 227 .
  • Langberg , Naftali A. , Lion , Ramon V. , Proschan , Frank and Lynch , James . 1978 . “The Extreme Points of the Set of Decreasing Failure Rate Distribution,” Florida State University Technical Report
  • Lomax , K. S. 1954 . “Business Failures: Another Example of the Analysis of Failure Data,” . Journal of the American Statistical Association , 49 : 847 – 852 .
  • Marshall , A. W. and Proschan , F. 1965 . “Maximum Likelihood Estimates for Distributions With Monotone Failure Rates,” . Annals of Mathematical Statistics , 36 : 69 – 77 .
  • McNolty , F. , Doyle , J. and Hansen , E. 1980 . “Properties of the Mixed Exponential Failure Process,” . Technometrics , 22 : 555 – 566 .
  • Proschan , F. 1963 . “Theoretical Explanation of Observed Decreasing Failure Rate,” . Technometrics , 5 : 375 – 383 .
  • Sunjata , M. H. 1974 . “Sensitivity Analysis of a Reliability Estimation Procedure for a Component Whose Failure Density is a Mixture of Exponential Failure Densities,” , Monterey , California : Naval Postgraduate School . unpublished thesis
  • Vännman , K. 1976 . “Estimation Based on Order Statistics From a Pareto Distribution,” . Journal of the American Statistical Association , 71 : 704 – 707 .
  • Weibull , W. 1961 . Fatigue Testing and Analysis of Results , New York : Pergamon Press .
  • Widder , D. V. 1946 . The LaPlace Transform , Princeton : Princeton University Press .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.