Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series A, Pt. 3, 509--531

BASU'S THEOREM WITH APPLICATIONS: A PERSONALISTIC REVIEW

By

MALAY GHOSH , University of Florida, Florida, USA

SUMMARY. The paper revisits Basu's Theorem, and documents some of its many applications in statistical inference. There is also some discussion on the relationship between the concepts of sufficiency, completeness and ancillarity.

AMS (1991) subject classification}. 62B05, 62A01.

Key words and phrases. Sufficiency, completeness, ancillarity, empirical Bayes, infinite divisibility.

Full paper (PDF)