On Sufficiency and Ancillarity

Nancy Reid ()
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Nancy Reid: University of Toronto

Sankhya A: The Indian Journal of Statistics, 2024, vol. 86, issue 1, No 9, 160-172

Abstract: Abstract Basu’s theorem on the relationship between sufficient and ancillary statistics is a cornerstone of theoretical statistics. In this note we expand on the roles of these fundamental concepts in both the foundations and applications of inference.

Keywords: Asymptotic theory; foundations of statistics; likelihood inference; Primary 62B05; Secondary 62A01 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13171-024-00370-w

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