Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 32, 2003 - Issue 4
Submit an article Journal homepage
224
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Parameter Estimation for the Linear Hazard Rate Distribution Based on Records and Inter-record Times

Chien-Tai Lin Tamkang University, Taiwan, Republic of China
,
Sam J. S. Wu Tamkang University, Taiwan, Republic of China
&
N. Balakrishnan Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, CanadaCorrespondence[email protected]
Pages 729-748 | Published online: 02 Sep 2006

References

  • Arnold , B. C. , Balakrishnan , N. and Nagaraja , H. N. 1998 . Records New York : John Wiley & Sons .
  • Ashour , S. K. and Youssef , A. 1991 . Bayesian estimation of a linear failure rate . Journal of the Indian Association for Productivity, Quality and Reliability , 16 : 9 – 16 .
  • Bain , L. J. 1974 . Analysis for the linear failure-rate life-testing distribution . Technometrics , 16 : 551 – 559 .
  • Balakrishnan , N. and Malik , H. J. 1986 . Order statistics from the linear exponential distribution, Part I: increasing hazard rate case . Communications in Statistics—Theory and Methods , 15 : 179 – 203 .
  • Carbone , P. P. , Kellerhouse , L. E. and Gehan , E. A. 1967 . Plasmacytic Myeloma: a study of the relationship of survival to various clinical manifestations and anomalous protein type in 112 patients . American Journal of Medicine , 42 : 937 – 948 .
  • Castillo , E. and Hadi , A. S. 1995 . A method for estimating parameters and quantiles of distributions of continuous random variables . Computational Statistics & Data Analysis , 20 : 421 – 439 .
  • Dempster , A. P. , Laird , N. M. and Rubin , D. B. 1977 . Maximum likelihood from incomplete data via the EM algorithm . Journal of the Royal Statistical Society, Series B , 39 : 1 – 38 .
  • Gross , A. J. and Clark , V. A. 1975 . “ Survival distribution ” . In Reliability Applications in the Biomedical Sciences New York : John Wiley & Sons .
  • Kodlin , D. 1967 . A new response time distribution . Biometrics , 2 : 227 – 239 .
  • Lawless , J. E. 1982 . Statistical Models and Methods for Lifetime Data New York : John Wiley & Sons .
  • Salvia , A. A. 1980 . Maximum likelihood estimation of linear failure rate . IEEE Transactions on Reliability , R-29 : 49 – 50 .
  • Samaniego , F. J. and Whitaker , L. R. 1986 . On estimating population characteristics from record-breaking observations. I. Parametric results . Naval Research Logistics Quarterly , 33 : 531 – 543 .
  • Sen , A. 2003 . “ Linear hazard rate distribution ” . In Encyclopedia of Statistical Sciences. , 2nd ed. Edited by: Balakrishnan , N. , Kotz , S. , Read , C. and Vidakovic , B. New York : John Wiley & Sons . (to appear)
  • Sen , A. and Bhattacharyya , G. K. 1995 . Inference procedures for the linear failure rate model . Journal of Statistical Planning and Inference , 46 : 59 – 76 .

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.