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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 108, Pages 57–71 (Mi znsl3435)  
On the rank of necessary and sufficient statistics for a sample of multivariate distributions

M. S. Ermakov
Full-text PDF (779 kB)
Abstract: The rank of necessary and sufficient statistics is described in terms of functional independency of linear combinations of ratio densities logarithms.
English version:
Journal of Soviet Mathematics, 1984, Volume 25, Issue 3, Pages 1146–1154
DOI: https://doi.org/10.1007/BF01084793
Bibliographic databases:
UDC: 519.281
Language: Russian
Citation: M. S. Ermakov, “On the rank of necessary and sufficient statistics for a sample of multivariate distributions”, Studies in mathematical statistics. Part V, Zap. Nauchn. Sem. LOMI, 108, "Nauka", Leningrad. Otdel., Leningrad, 1981, 57–71; J. Soviet Math., 25:3 (1984), 1146–1154
Citation in format AMSBIB
\Bibitem{Erm81}
\by M.~S.~Ermakov
\paper On the rank of necessary and sufficient statistics for a~sample of multivariate distributions
\inbook Studies in mathematical statistics. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 108
\pages 57--71
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3435}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=629400}
\zmath{https://zbmath.org/?q=an:0493.62006|0548.62009}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 25
\issue 3
\pages 1146--1154
\crossref{https://doi.org/10.1007/BF01084793}
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