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October 2004 On the testability of the CAR assumption
Eric A. Cator
Ann. Statist. 32(5): 1957-1980 (October 2004). DOI: 10.1214/009053604000000418


In recent years a popular nonparametric model for coarsened data is an assumption on the coarsening mechanism called coarsening at random (CAR). It has been conjectured in several papers that this assumption cannot be tested by the data, that is, the assumption does not restrict the possible distributions of the data. In this paper we will show that this conjecture is not always true; an example will be current status data. We will also give conditions when the conjecture is true, and in doing so, we will introduce a generalized version of the CAR assumption. As an illustration, we retrieve the well-known result that the CAR assumption cannot be tested in the case of right-censored data.


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Eric A. Cator. "On the testability of the CAR assumption." Ann. Statist. 32 (5) 1957 - 1980, October 2004.


Published: October 2004
First available in Project Euclid: 27 October 2004

zbMATH: 1056.62003
MathSciNet: MR2102499
Digital Object Identifier: 10.1214/009053604000000418

Primary: 62A10 , 62F10

Keywords: bipolar theorem , CAR assumption , current status , testability

Rights: Copyright © 2004 Institute of Mathematical Statistics


Vol.32 • No. 5 • October 2004
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