On Sufficiency and Ancillarity

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Sankhya. Series. A 2024-11, Vol.86 (Suppl 1), p.160-172
1. Verfasser:	Reid, Nancy
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics and Statistics Statistical Theory and Methods Statistics Statistics and Computing/Statistics Programs
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0976-836X 0976-8378
DOI:	10.1007/s13171-024-00370-w