This article is cited in 4 papers

Short Communications

$L$-nonformation, $L$-ancillarity, and $L$-sufficiency

O. E. Barndorff-Nielsen

Institute of Mathematics, Aarhus University, Denmark

Abstract: A concept "$L$-nonformation", of no information about a parameter of interest, is defined. It implies concepts of generalized ancillarity and sufficiency, termed $L$-ancillarity and $L$-sufficiency (the latter having been studied previously). Here $L$ stands for likelihood. Properties of these concepts are discussed.

Keywords: $L$-nonformation, $L$-sufficiency, $L$-ancillarity, likelihood, parametrization, information.

Language: English

DOI: 10.4213/tvp620

 English version: Theory of Probability and its Applications, 2000, 44:1, 197–201

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