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Foundational Issues Concerning the Analysis of Censored Data

In: Lifetime Data: Models in Reliability and Survival Analysis

Author

Listed:
  • Richard E. Barlow

    (University of California at Berkeley, Department of Industrial Engineering and Operations Research)

  • Peisung Tsai

    (University of California at Berkeley, Department of Industrial Engineering and Operations Research)

Abstract

The common approach to analyzing censored data utilizes “competing risk” models; a class of distributions is first chosen and then the sufficient statistics are identified! An “operational Bayesian” approach (Barlow (1994)) for analyzing censored data would require a somewhat different methodology. In this approach, we first determine potentially observable parameters of interest. We then determine the data summaries (sufficient statistics) for these parameters. Tsai (1994) suggests that the observed sample frequency is sufficient for predicting the population frequency. Invariant probability measures (likelihoods), conditional on the parameters of interest, are then derived based on the principle of sufficiency and the principle of insufficient reason.

Suggested Citation

  • Richard E. Barlow & Peisung Tsai, 1996. "Foundational Issues Concerning the Analysis of Censored Data," Springer Books, in: Nicholas P. Jewell & Alan C. Kimber & Mei-Ling Ting Lee & G. A. Whitmore (ed.), Lifetime Data: Models in Reliability and Survival Analysis, pages 45-51, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-5654-8_7
    DOI: 10.1007/978-1-4757-5654-8_7
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