RT Journal Article
T1 Small-sample comparisons for the Rukhin goodness-of-fit-statistics
A1 Pardo Llorente, Julio Ángel
A1 Pardo Llorente, María del Carmen
AB 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.
PB Springer Verlag
SN 0932-5026
YR 1999
FD 1999-04
LK https://hdl.handle.net/20.500.14352/57810
UL https://hdl.handle.net/20.500.14352/57810
LA eng
NO DGCYT
DS Docta Complutense
RD 8 jun 2025