2026-06-28T04:45:51Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/578102023-08-28T18:38:53Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Pardo Llorente, Julio Ángel
author
Pardo Llorente, María del Carmen
2023-06-20T17:07:34Z
2023-06-20T17:07:34Z
1999-04
0932-5026
Http://dx.doi.org/10.1007/BF02925515
https://hdl.handle.net/20.500.14352/57810
http://www.springerlink.com/content/em7353827815667v/fulltext.pdf
http://www.springerlink.com/
Rukhin's statistic family for goodness-of-fit, under the null hypothesis, has asymptotic chi-squared distribution; however, for small samples the chi-squared approximation in some cases does not well agree with the exact distribution. In this paper we consider this approximation and other three to get appropriate test levels in comparison with the exact level. Moreover, exact power comparisons for several values of the parameter under specified alternatives provide that the classical Pearson's statistic, obtained as a particular case of Rukhin statistic, can be improved by choosing other statistics from the family. An explanation is proposed in terms of the effects of individual cell frequencies on the Rukhin statistic.
eng
Small-sample comparisons for the Rukhin goodness-of-fit-statistics
journal article
URL
https://docta.ucm.es/bitstreams/9f9e3a25-921d-466d-a7f0-6ce4ba98c447/download
File
MD5
7fb3303d2a62f589cdf422007b6fe30c
769759
application/pdf
PardoJulio31.pdf