Annals of Statistics

On the Completeness of Minimal Sufficient Statistics with Censored Observations

G. K. Bhattacharyya, Richard A. Johnson, and K. G. Mehrotra

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The property of completeness, for the minimal sufficient statistics, is investigated in the context of life testing when the set of observations is censored at a fixed time or at a fixed order statistic. Nonparametric families are shown to retain completeness for the observed order statistics and some implications regarding unbiased estimators and similar tests are presented. Most of the common parametric models fail to possess completeness of minimal sufficient statistics under censored sampling in the one-sample, two-sample and regression situations.

Article information

Ann. Statist., Volume 5, Number 3 (1977), 547-553.

First available in Project Euclid: 12 April 2007

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Primary: 62B05: Sufficient statistics and fields
Secondary: 62N05: Reliability and life testing [See also 90B25] 62G30: Order statistics; empirical distribution functions

Completeness reliability sufficiency censoring order statistics


Bhattacharyya, G. K.; Johnson, Richard A.; Mehrotra, K. G. On the Completeness of Minimal Sufficient Statistics with Censored Observations. Ann. Statist. 5 (1977), no. 3, 547--553. doi:10.1214/aos/1176343854.

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