85
Views
2
CrossRef citations to date
0
Altmetric
ORDERED DATA AND INFERENCE

Use of Orthogonal Polynomial Approximations for Inference in Exponential Distribution Based on K-Sample Doubly Type-II Censored Data

&
Pages 1671-1683 | Received 25 Jan 2005, Accepted 25 Jan 2006, Published online: 15 Feb 2007

References

  • Arnold , B. C. , Balakrishnan , N. , Nagaraja , H. N. ( 1992 ). A First Course in Order Statistics . New York: John Wiley & Sons .
  • Balakrishnan , N. , Cohen , A. C. ( 1991 ). Order Statistics and Inference: Estimation Methods . San Diego: Academic Press .
  • Balakrishnan , N. , Basu , A. P. , eds. ( 1995 ). The Exponential Distribution: Theory, Methods and Applications . Langhorne , PA : Gordon and Breach .
  • Balakrishnan , N. , Gupta , S. S. ( 1998 ). Higher-order moments of order statistics from exponential and right-truncated exponential distributions and applications to life-testing problems . In: Balakrishnan , N. , Rao , C. R. , eds. Handbook of Statistics-17: Order Statistics: Applications . Amsterdam : North-Holland , pp. 25 – 59 .
  • Balakrishnan , N. , Lin , C. T. ( 2005 ). Exact inference and prediction for K-sample exponential case under Type-II censoring . J. Statist. Compu. Simul. 75 : 315 – 331 . [CSA]
  • Balakrishnan , N. , Lin , C. T. , Chan , P. S. ( 2004 ). Exact inference and prediction for K-sample two-parameter exponential case under general Type-II censoring . J. Statist. Computat. Simul. 74 : 867 – 878 . [CSA] [CROSSREF]
  • Blight , B. J. N. ( 1970 ). Estimation from a censored sample for the exponential family . Biometrika 57 ( 2 ): 389 – 395 . [CSA] [CROSSREF]
  • Cohen , A. C. , Whitten , B. J. ( 1988 ). Parameter Estimation in Reliability and Life Span Models . New York : Marcel Dekker .
  • Epstein , B. , Sobel , M. ( 1954 ). Some theorem relevent to life testing from an exponential distribution . Ann. Mathemat. Statist. 25 : 373 – 381 . [CSA]
  • Gradshteyn , I. S. , Ryzhik , I. M. ( 1980 ). Tables of Integrals, Series, and Products, Corrected and Enlarged Edition . New York : Academic Press, Inc.
  • Lin , C. T. , Balakrishnan , N. ( 2001 ). Exact linear inference for scaled exponential distribution based on doubly Type-II censored samples, J. Statist. Comput. Simul. 71 : 183 – 199 . [CSA]
  • Nelson , W. ( 1982 ). Applied Life Data Analysis . New York : Wiley .
  • Provost , S. B. , Sanjel , D. ( 2005 ). Inference about the first-order autoregressive coefficient . Commun. Statist.-Theor. Meth. 35 : 1183 – 1201 . [CSA] [CROSSREF]
  • Szegö , G. ( 1959 ). Orthogonal Polynomials . American Mathematical Society . Vol. 23 . New York : Colloquium Publications .

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.