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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 77–93 (Mi znsl3695)  
New integral nonparametric test for the hypothesis of affine symmetry

I. V. Gamov, Ya. Yu. Nikitin

Saint-Petersburg State University
Full-text PDF (687 kB)
Abstract: The hypothesis of affine symmetry introduced by P. K. Sen in 1978 consists in the symmetry about the origin and in the same time in the independence of the components of two-dimensional random vector. New test statistic for testing this hypothesis is proposed. Some asymptotic properties of this statistic are investigated, in particular limiting distribution and large deviations. Bahadur local efficiency is also found and analyzed. Bibl. 18 titles.
Received: 20.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 301–310
DOI: https://doi.org/10.1007/BF02364814
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: I. V. Gamov, Ya. Yu. Nikitin, “New integral nonparametric test for the hypothesis of affine symmetry”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 77–93; J. Math. Sci. (New York), 93:3 (1999), 301–310
Citation in format AMSBIB
\Bibitem{GamNik96}
\by I.~V.~Gamov, Ya.~Yu.~Nikitin
\paper New integral nonparametric test for the hypothesis of affine symmetry
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 77--93
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3695}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449849}
\zmath{https://zbmath.org/?q=an:0932.62056}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 301--310
\crossref{https://doi.org/10.1007/BF02364814}
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