On the testability of the CAR assumption

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On the testability of the CAR assumption

In recent years a popular non-parametric model for coarsened data is an assumption on the coarsening mechanism called Coarsening At Random (CAR). We will give a short definition here; in the talk we will introduce a more general version. Let Y be the space of the parameter of interest Y . On Y we have a dominating measure Q0. Let C be a space with a dominating measure P0 such that the data cont...

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On the Testability of the Car Assumption

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 exampl...

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ژورنال

عنوان ژورنال: The Annals of Statistics

سال: 2004

ISSN: 0090-5364

DOI: 10.1214/009053604000000418