By Topic

Rules of application of goodness-of-fit tests in simple and composite hypothesis testing

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
B. Yu. Lemeshko ; Novosibirsk State Tech. Univ., Russia ; S. N. Postovalov ; E. V. Chimitova

Problems of application of nonparametric goodness-of-fit tests and x/sup 2/ type tests have been considered. The following points concerning the tests of x/sup 2/ type have been considered: (a) correctness problems in usage of x/sup 2//sub k-r-1/ -distributions as the limiting distribution laws depending on estimation method used; (b) grouping methods providing maximal test power for close alternative hypotheses; (c) choice of the optimal interval number by the maximal test power. Optimal grouping tables have been constructed. Nonparametric tests of Kolmogorov type, /spl omega//sup 2/ and /spl Omega//sup 2/ Mises type lose their property of "independence from distribution" in composite hypothesis testing. The limiting distribution laws depend on the distribution corresponding to the hypothesis under test, number and type of estimated parameters, their values and the estimation method. The models of limiting distributions for nonparametric test statistics have been constructed for a number of composite hypotheses. Obtained results are included in the GOSSTANDART recommendations of Russia "Applied statistics. Rules of check of experimental and theoretical distribution of the consent". Part 1 Goodness-of-fit tests of a type chi-square (P 50.1.033-2001), part 2 Nonparametric goodness-of-fit tests (P 50.1.037-2002).

Published in:

Science and Technology, 2003. Proceedings KORUS 2003. The 7th Korea-Russia International Symposium on  (Volume:1 )

Date of Conference:

6-6 July 2003