Ignorability, Sufficiency and Ancillarity

Daniel F. Heitjan

Journal of the Royal Statistical Society Series B, 1997, vol. 59, issue 2, 375-381

Abstract: This paper explores the relationship between ignorability, sufficiency and ancillarity in the coarse data model of Heitjan and Rubin. Bayes or likelihood ignorability has a natural relationship to sufficiency, and frequentist ignorability an analogous relationship to ancillarity. Weaker conditions, termed observed likelihood sufficiency, observed specific sufficiency and observed ancillarity, expand the concepts to models where the coarsening mechanism is sometimes, but not always, ignorable.

Date: 1997
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