**Foundational issues Concerning the Analysis of Censored
Data**

R. Barlow and P. Tsai

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 parameter of
interest. We then determine the data summaries (sufficient statistics)
for these parameters. Tsai (1994) suggests that the observe 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 sufficient and the principle of insufficient
reason.

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