On the conditions for the existence of ancillary statistics in a curved exponential family

DOI10.1016/j.stamet.2008.11.003zbMath1463.62026OpenAlexW2056254212MaRDI QIDQ537367

Masayuki Kumon

Publication date: 20 May 2011

Published in: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.stamet.2008.11.003

zbMATH Keywords

orbitcutaffine transformationmaximal invariantcurved exponential familytransformation familyancillary statistics

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items

Conformal geometry of sequential test in multidimensional curved exponential family ⋮ Conformal Geometry of Statistical Manifold with Application to Sequential Estimation

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