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Original Articles

Life Tests Under Dependent Competing Causes of Failure

Pages 39-47 | Published online: 09 Apr 2012

References

  • Barlow , R. E. and Proschan , F. 1965 . Mathematical Theory of Reliability. New York : Wiley. .
  • Berkson , J. and Elveback , L. 1960 . Competing exponential risks, with particular reference to the study of smoking and lung cancer . J. Amer. Statist. Assn. , 55 : 415 – 28 .
  • Boardman , T. J. and Kendell , P. J. 1970 . Estimation in compound exponential failure models . Technometrics , 12 : 891 – 900 .
  • Brindley , E. C. Jr. and Thompson , W. A. Jr. 1972 . Dependence and aging aspects of multivariate survival . J. Amer. Statist. Assn. , 67 : 822 – 830 .
  • Buckland , W. R. 1964 . Statistical Assessment of the Life Characteristic. New York : Hafner Publishing Company. .
  • Cox , D. R. 1959 . The analysis of exponentially distributed life-times with two types of failure . J. R. Statist. Soc. B. , : 411 – 21 .
  • Daniels , H. E. 1945 . The statistical theory of the strength of bundles of threads . Proc. Roy. Soc. London , 183 : 405 – 35 .
  • David , H. A. 1957 . Estimation of means of normal populations from observed minima . Biometrika , 44 : 282 – 86 .
  • Davis , D. J. 1952 . An analysis of some failure data . J. Amer. Statist. Assn. , 47 : 113 – 50 .
  • Faulkner , J. E. and McHugh , R. B. 1972 . Bias in observable cancer age and life-time of mice subject to spontaneous mammary carcinomas . Biometrics , 28 : 489 – 98 .
  • Hager , H. W. , Bain , L. J. and Antle , C. E. 1971 . Reliability estimation for the generalized gamma distribution and robustness of the Weibull model . Technometrics , 13 : 547 – 58 .
  • Harris , Robert . 1970 . A multivariate definition for increasing hazard rate distribution functions . Ann. Math. Statist. , 41 : 713 – 17 .
  • Herman , R. J. and Patell , Rusi K. N. 1971 . Maximum likelihood estimation for multi-risk model . Technometrics , 13 : 385 – 96 .
  • Hoel , David G. 1972 . A representation of mortality data by competing risks . Biometrics , 28 : 475 – 88 .
  • Marquardt , Donald W. 1963 . An algorithm for least-squares estimation of nonlinear parameters . J. Soc. Indust. Appl. Math. , 11 : 431 – 41 .
  • Marshall , A. W. and Olkin , I. 1967 . A multivariate exponential distribution . J. Amer. Statist. Assn. , 63 : 30 – 44 .
  • Moeschberger , M. L. and David , H. A. 1971 . Life tests under competing causes of failure and the theory of competing risks . Biometrics , 27 : 909 – 33 .
  • Nádas , A. 1971 . The distribution of the identified minimum of a normal pair determines the distribution of the pair . Technometrics , 13 : 201 – 2 .
  • Nelson , Wayne . 1970 . Hazard plotting methods for analysis of life data with different failure modes . J. Qual. Tech. , 2 : 126 – 49 .
  • Sampford , M. R. 1952 . The estimation of response-time distributions. II. Multi-stimulus distributions . Biometrics , 8 : 307 – 69 .

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