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Theory and Methods

Competing Risks on Coherent Reliability Systems: Estimation in the Parametric Case

Pages 1459-1464 | Received 01 Dec 1992, Published online: 27 Feb 2012

References

  • Antoine , R. , Doss , H. and Hollander , M. 1993 . “On Identifiability in the Autopsy Model of Reliability Theory,” . Journal of Applied Probability , 30 : 913 – 930 .
  • Barlow , R. E. and Proschan , R. 1975 . Statistical Theory of Reliability and Life Testing , New York : Holt, Rinehart and Winston .
  • Basu , A. P. and Ebrahimi , N. 1993 . “Estimation of Parameters for Series Systems With k-out-of-m: G Subsystem,” . In Communications in Probability and Its Applications , Edited by: Basu , S. K. London : Oxford University Press .
  • Basu , A. P. and Ghosh , J. K. 1983 . “Identifiability Results for a k-out-of-p System,” . Communications In Statistics, Part A—Theory and Methods , 12 : 199 – 205 .
  • Bernoulli , D. 1760 . “Essai d'une nouvelle analyse de la mortalité causée par la petite Vérole, et des avantages de l'Inoculation pour la prévenir,” . Mém. de l'Académie Royale de Science , 1760 : 1 – 45 .
  • David , H. A. and Moeschberger , M. L. 1978 . “The Theory of Competing Risks,” , London : Griffin . Griffin's Statistical Monographs and Courses No. 39
  • 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 , 39 : 1 – 38 . Ser. B
  • Gail , M. 1975 . “A Review and Critique of Some Models Used in Competing Risk Analysis,” . Biometrics , 31 : 209 – 222 .
  • Langberg , N. , Proschan , R. and Quinzi , A. J. 1978 . “Converting Dependent Models Into Independent Ones, Preserving Essential Features,” . The Annals of Probability , 6 : 174 – 181 .
  • Langberg , N. , Proschan , R. and Quinzi , A. J. 1981 . “Estimating Dependent Life Lengths, With Applications to the Theory of Competing Risks,” . The Annals of Statistics , 9 : 157 – 167 .
  • Louis , T. A. 1982 . “Finding the Observed Information Matrix When Using the EM Algorithm,” . Journal of the Royal Statistical Society , 44 : 226 – 233 . Ser. B
  • Meilijson , I. 1981 . “Estimation of the Lifetime Distribution of the Parts From the Autopsy Statistics of the Machine,” . Journal of Applied Probability , 18 : 829 – 838 .
  • Meilijson , I. 1989 . “A Fast Improvement to the EM Algorithm on Its Own Terms,” . Journal of the Royal Statistical Society , 51 : 127 – 138 . Ser. B
  • Moeschberger , M. L. 1974 . “Life Tests Under Dependent Causes of Failure,” . Technometrics , 16 : 39 – 47 .
  • Nádas , A. 1970 . “On Estimating the Distribution of a Random Vector When Only the Smallest Coordinate is Observable,” . Technometrics , 12 : 923 – 924 .
  • Nowik , S. 1990 . “Identifiability Problems in Coherent Reliability Systems,” . Journal of Applied Probability , 28 : 862 – 872 .
  • Prentice , R. L. , Kalbfleisch , J. D. , Peterson , A. V. , Farewell , V. T. and Breslow , N. E. 1978 . “The Analysis of Failure Times in the Presence of Competing Risks,” . Biometrics , 34 : 541 – 554 .
  • Tsiatis , A. 1975 . “A Nonidentifiability Aspect in the Problem of Competing Risks,” . Proceedings of the National Academy of Science USA , 72 : 20 – 22 .
  • Watelet , L. F. 1990 . “Nonparametric Estimation of Component Life Distributions in Meilijson's Competing Risks Model,” , Ph.D. thesis University of Washington, Dept. of Statistics .
  • Wu , C. F. 1983 . “On the Convergence Properties of the EM Algorithm,” . The Annals of Statistics , 11 : 95 – 103 .

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