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Extensions to Basu's theorem, factorizations, and infinite divisibility

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Publication:866640
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DOI10.1016/J.JSPI.2006.06.018zbMath1107.62003OpenAlexW2097557492WikidataQ114154312 ScholiaQ114154312MaRDI QIDQ866640

Anirban DasGupta

Publication date: 14 February 2007

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2006.06.018


zbMATH Keywords

independencetotal variationcompletenesssufficiencyancillarityGoldie-Steutel law


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Point estimation (62F10) Sufficient statistics and fields (62B05)


Related Items (1)

A New Proof of the Wiener-Hopf Factorization via Basu's Theorem




Cites Work

  • Asymptotic methods in statistical decision theory
  • Asymptotic equivalence of nonparametric regression and white noise
  • An Interpretation of Completeness and Basu's Theorem
  • Sufficiency and Approximate Sufficiency
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