16
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Consequences of Departures From Independence in Exponential Series Systems

&
Pages 277-284 | Published online: 23 Mar 2012

REFERENCES

  • Barlow , R. E. and Proschan , F. 1975 . Statistical Theory of Reliability and Life Testing New York : Holt, Rinehart, and Winston. .
  • Basu , A. P. 1981 . “Identifiability Problems in the Theory of Competing and Complementary Risks–A Survey,”. ” . In Statistical Distribution in Scientific Work Edited by: Taillie , Patil and Baldesaari , Dorerecht . 335 – 348 . Holland : Reidel Publishing Co. .
  • Birnbaum , Z. W. 1979 . On the Mathematics of Competing Risks 79 – 1351 . U.S. Dept. of HEW Publication. .
  • Boardman , T. J. and Kendall , P. J. 1970 . “Estimation in Compound Exponential Failure Models,” . Technometrics , 12 : 891 – 900 .
  • Chao , Anne . 1981 . “Approximate Mean Squared Errors of Estimators of Reliability for k-out-of-m Systems in the Independent Exponential Case,” . Journal of the American Statistical Association , 76 : 720 – 724 .
  • Easterling , R. G. 1980 . Review of On the Mathematics of Competing Risks . Technometrics , 22 : 131 – 132 . by Z. W. Birnbaum
  • Gumbel , E. J. 1960 . “Bivariate Exponential Distributions,” . Journal of the American Statistical Assocation , 55 : 698 – 707 .
  • Kalbfleisch , J. D. and Prentice , R. L. 1980 . The Statistical Analysis of Failure Time Data New York : John Wiley. .
  • Kaplan , E. L. and Meier , P. 1958 . “Nonparametric Estimation From Incomplete Observations,” . Journal of the American Statistical Association , 53 : 457 – 481 .
  • Lagakos , S. W. 1979 . “General Right Censoring and Its Impact on the Analysis of Survival Data,” . Biometrics , 35 : 139 – 156 .
  • Lagakos , S. W. and Williams , J. S. 1978 . “Models for Censored Survival Analysis: A Cone Class of Variable-Sum Models,” . Biometrika , 65 : 181 – 189 .
  • Lawless , J. F. 1982 . Statistical Models and Methods for Lifetime Data New York : John Wiley. .
  • Mann , N. R. 1974 . “Simplified Expressions for Obtaining Approximately Optimum System-Reliability Confidence Bounds From Exponential Subsystem Data,” . Journal of the American Statistical Association , 69 : 492 – 495 .
  • Mann , N. R. and Grubbs , F. E. 1974 . “Approximately Optimum Confidence Bounds for System Reliability Based on Component Test Data,” . Technometrics , 16 : 335 – 347 .
  • Mann , N. R. , Schafer , R. E. and Singpurwalla , N. D. 1974 . Methods for the Statistical Analysis of Reliability and Life Data New York : John Wiley. .
  • Mendenhall , W. and Lehman , E. H. Jr. 1960 . “An Approximation to the Negative Moments of the Positive Binomial Useful in Life Testing,” . Technometrics , 2 : 227 – 242 .
  • Miyamura , T. 1982 . “Estimating Component Failure Rates From Combined Component and Systems Data: Exponentially Distributed Component Lifetimes,” . Technometrics , 24 : 313 – 318 .
  • Moeschberger , M. L. and David , H. A. 1971 . “Life Tests Under Competing Causes of Failure and the Theory of Competing Risks,” . Biometrics , 27 : 909 – 933 .
  • Peterson , A. V. Jr. 1976 . “Bounds for a Joint Distribution Function With Fixed Sub-Distribution Functions: Application to Competing Risks,” . Proceedings of the National Academy of Sciences , 73 : 11 – 13 .
  • Tsiatis , A. 1975 . “A Nonidentifiability Aspect of the Problem of Competing Risks,” . Proceedings of the National Academy of Sciences , 72 : 20 – 22 .
  • Williams , J. S. and Lagakos , S. W. 1977 . “Models for Censored Survival Analysis: Constant-Sum and Variable-Sum Models,” . Biometrika , 64 : 215 – 224 .

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.