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Reconstructive Estimation in a Parametric Random Censorship Model With Incomplete Data

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Advances in Statistical Decision Theory and Applications

Part of the book series: Statistics for Industry and Technology ((SIT))

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Abstract

We explore theoretically an approach to estimation, in a multivariate random censorship model with incomplete data, based on the reconstruction of the missing information. Simulation results are also presented.

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References

  1. Basu, A. P. and Klein, J. P. (1982). Some recent results in competing risks theory, In Survival Analysis (Eds., J. Crowley and R. A. Johnson), pp. 216–229, IMS Lecture Notes-Monograph Series 2, Hayward, CA: IMS.

    Chapter  Google Scholar 

  2. Baxter, L. A. (1995). Estimation subject to block censoring, IEEE Transactions on Reliability, 44, 489–495.

    Article  Google Scholar 

  3. Cox, D. R. (1959). The analysis of exponentially distributed lifetimes with two types of failures, Journal of the Royal Statistical Society, Series B, 21, 411–421.

    MATH  Google Scholar 

  4. David, H. A. (1974). Parametric approaches to the theory of competing risks, In Reliability and Biometry: Statistical Analysis of Lifelengths (Eds., F. Proschan and R. J. Serfiing), pp. 275–290, Philadelphia: SIAM.

    Google Scholar 

  5. David, H. A. and Moeschberger, M. L. (1978). The Theory of Competing Risks, Griffin’s Statistical Monographs &, Courses No. 39, London: Charles W. Griffin.

    MATH  Google Scholar 

  6. Dinse, G. E. (1982). Nonparametric estimation for partially-incomplete times and types of failure data, Biometrics, 38, 417–431.

    Article  Google Scholar 

  7. Dinse, G. E. (1986). Nonparametric prevalence and mortality estimators for animal experiments with incomplete cause-of-death data, Journal of the American Statistical Association, 81, 328–336.

    Article  MATH  Google Scholar 

  8. Gastaldi, T. (1994). Improved maximum likelihood estimation for component reliabilities with Miyakawa-Usher-Hodgson-Guess’ estimators under censored search for the cause of failure, Statistics & Probability Letters, 19, 5–18.

    Article  MathSciNet  MATH  Google Scholar 

  9. Gastaldi, T. (1996). Note on closed-form MLEs of failure rates in a fully parametric random censorship model with incomplete data, Statistics & Probability Letters, 26, 309–314.

    Article  MathSciNet  MATH  Google Scholar 

  10. Gastaldi, T. and Gupta, S. S. (1994). Minimax type procedures for non¬parametric selection of the best population with partially classified data, Communications in Statistics—Theory and Methods, 23, 2503–2531.

    Article  MathSciNet  MATH  Google Scholar 

  11. Guess, M. F., Usher, J. S. and Hodgson, T. J. (1991). Estimating system and component reliabilities under partial information on cause of failure, Journal of Statistical Planning and Inference, 29, 75–85.

    Article  MathSciNet  MATH  Google Scholar 

  12. Gupta, S. S. and Gastaldi, T. (1996). Life testing for multi-component system with incomplete information on the cause of failure: A study on some inspection strategies, Computational Statistics & Data Analysis, 22, 373–393.

    Article  MathSciNet  MATH  Google Scholar 

  13. Little, R. J. A. and Rubin D. B. (1987). Statistical Analysis with Missing Data, New York: John Wiley & Sons.

    MATH  Google Scholar 

  14. Mendenhall, W. and Hader, R. J. (1958). Estimation of parameters of mixed exponentially distributed failure time distributions from censored life test data, Biometrika, 45, 504–520.

    MathSciNet  MATH  Google Scholar 

  15. Miyakawa, M. (1984). Analysis of incomplete data in a competing risks model, IEEE Transactions on Reliability, 33, 293–296.

    Article  Google Scholar 

  16. Usher, J. S. (1987). Estimating component reliabilities from incomplete accelerated life test data, Unpublished Ph.D. Dissertation, Department of Industrial Engineering, North Carolina State University, Raleigh, NC.

    Google Scholar 

  17. Usher, J. S. (1993). On the problem of masked system life data, In Advances in Reliability (Ed., A. P. Basu), pp. 435–443, Amsterdam: Elsevier Science Publishers B.V.

    Google Scholar 

  18. Usher, J. S. and Guess, F. M. (1989). An iterative approach for estimating component reliability from masked system life data, Quality & Reliability Engineering International, 5, 257–261.

    Article  Google Scholar 

  19. Usher, J. S. and Hodgson, T. J. (1988). Maximum likelihood analysis of component reliability using masked system life data, IEEE Transactions on Reliability, 37, 550–555.

    Article  MATH  Google Scholar 

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© 1997 Birkhäuser Boston

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Gastaldi, T. (1997). Reconstructive Estimation in a Parametric Random Censorship Model With Incomplete Data. In: Panchapakesan, S., Balakrishnan, N. (eds) Advances in Statistical Decision Theory and Applications. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2308-5_25

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  • DOI: https://doi.org/10.1007/978-1-4612-2308-5_25

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7495-7

  • Online ISBN: 978-1-4612-2308-5

  • eBook Packages: Springer Book Archive

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