RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Subscription Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Diskr. Mat.: Year: Volume: Issue: Page: Find

 Diskr. Mat., 2002, Volume 14, Issue 3, Pages 130–142 (Mi dm260)

A family of multivariate chi-square statistics

B. I. Selivanov

Abstract: We consider a sequence of independent trials, which, under the hypothesis $H_0$, is a realisation of some polynomial scheme. We define a family of multivariate chi-square statistics which includes the sequential chi-square test statistics. We formulate conditions which guarantee that the distributions of the statistics under consideration converge to limit distributions under the hypothesis $H_0$ and the alternatives contigual to $H_0$. We find the form of the Laplace transforms of the limit distributions of the statistics of the family.
This research was supported by the Russian Foundation for Basic Research, grant 00–15–96136.

DOI: https://doi.org/10.4213/dm260

Full text: PDF file (1017 kB)
References: PDF file   HTML file

English version:
Discrete Mathematics and Applications, 2002, 12:4, 401–413

Bibliographic databases:

Document Type: Article
UDC: 519.24

Citation: B. I. Selivanov, “A family of multivariate chi-square statistics”, Diskr. Mat., 14:3 (2002), 130–142; Discrete Math. Appl., 12:4 (2002), 401–413

Citation in format AMSBIB
\Bibitem{Sel02} \by B.~I.~Selivanov \paper A family of multivariate chi-square statistics \jour Diskr. Mat. \yr 2002 \vol 14 \issue 3 \pages 130--142 \mathnet{http://mi.mathnet.ru/dm260} \crossref{https://doi.org/10.4213/dm260} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1952785} \zmath{https://zbmath.org/?q=an:1044.62055} \transl \jour Discrete Math. Appl. \yr 2002 \vol 12 \issue 4 \pages 401--413 

• http://mi.mathnet.ru/eng/dm260
• https://doi.org/10.4213/dm260
• http://mi.mathnet.ru/eng/dm/v14/i3/p130

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. B. I. Selivanov, “A family of multivariate $\chi^2$-statistics”, Discrete Math. Appl., 14:5 (2004), 527–533
2. B. I. Selivanov, “On a class of statistics of polynomial samples”, Discrete Math. Appl., 19:3 (2009), 309–320
•  Number of views: This page: 357 Full text: 107 References: 47 First page: 2