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On Sufficiency and Ancillarity

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  • Nancy Reid

    (University of Toronto)

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.

Suggested Citation

  • Nancy Reid, 2024. "On Sufficiency and Ancillarity," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(1), pages 160-172, November.
    • Handle: RePEc:spr:sankha:v:86:y:2024:i:1:d:10.1007_s13171-024-00370-w
    DOI: 10.1007/s13171-024-00370-w
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    References listed on IDEAS

    as
    1. Matthew B. Ross & Britta M. Glennon & Raviv Murciano-Goroff & Enrico G. Berkes & Bruce A. Weinberg & Julia I. Lane, 2022. "Women are credited less in science than men," Nature, Nature, vol. 608(7921), pages 135-145, August.
    2. N. Reid & D. A. S. Fraser, 2010. "Mean loglikelihood and higher-order approximations," Biometrika, Biometrika Trust, vol. 97(1), pages 159-170.
    3. Joyce Paul & Marjoram Paul, 2008. "Approximately Sufficient Statistics and Bayesian Computation," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 7(1), pages 1-18, August.
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    Cited by:

    1. Dipak Dey & Subhashis Ghosal & Tapas Samanta, 2024. "Editorial Article: Remembering D. Basu’s Legacy in Statistics," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(1), pages 1-7, November.

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