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Foundational issues concerning the analysis of censored data

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Abstract

The common approach to analyzing censored data utilizes “competing risk” models; a class of distribution is first chosen and then the sufficient statistics are identified! An “operational Bayesian” approach (Barlow 1993) 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.

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References

  • R. E. Barlow, A Bayesian Approach to the Analysis of Reliability Data Bases, ESRC Report 94-7, University of California at Berkeley, 1993.

  • R. E. Barlow and M. B. Mendel, DeFinetti-type Representations for Life Distributions,Journal of the American Statistical Association, vol. 87 pp. 1116–1122, 1992.

    Google Scholar 

  • R. Cooke, T. Bedford, I. Meilijson, I., and L. Meester, Design of reliability data bases for aerospace applications, inRecent Advances in Life-Testing and Reliability, N. Balakrishnan (ed.), CRC Press: Boca Raton, Florida, 1994.

    Google Scholar 

  • B. De Finetti, Foresight: its logical laws, its subjective sources (1937), inStudies in Subjective Probability, H. E. Kyburg and H. E. Smokler (eds.), R. E. Krieger Publishing Company, Inc., 1980.

  • P. L. Z. Iglesias, C. A. B. Pereira, and N. I. Tanaka, Finite Forms of De Finetti's Type Theorem for Univariate Uniform Distributions, Report CEP 01452-990, Universidade de São Paulo, São Paulo, Brasil, 1990.

    Google Scholar 

  • P. Tsai, Probability Applications in Engineering, Ph.D. thesis, UC Berkeley, Department of Industrial Engineering and Operations Research, 1994 (available through WWW, URL = ftp://maastricht.berkeley.edu/pub/EngProb/PeisungDissertation).

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Authors and Affiliations

  1. University of California, 94720, Berkeley, CA, USA

    Richard E. Barlow & Peisung Tsai

Authors
  1. Richard E. Barlow
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  2. Peisung Tsai
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Additional information

Research partially supported by the Army Research Office (DAAL03-91-G-0046) grant to the University of California at Berkeley.

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Barlow, R.E., Tsai, P. Foundational issues concerning the analysis of censored data. Lifetime Data Anal 1, 27–34 (1995). https://doi.org/10.1007/BF00985255

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  • DOI: https://doi.org/10.1007/BF00985255

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