RT Journal Article
T1 Choosing the best Rukhin goodness-of-fit statistics
A1 Marhuenda García, Yolanda
A1 Morales González, Domingo
A1 Pardo Llorente, Julio Ángel
A1 Pardo Llorente, María del Carmen
AB The testing for goodness-of-fit in multinomial sampling contexts is usually based on the asymptotic distribution of Pearson-type chi-squared statistics. However, approximations are not justified for those cases where sample size and number of cells permit the use of adequate algorithms to calculate the exact distribution of test statistics in a reasonable time. In particular, Rukhin statistics, containing chi(2) and Neyman's modified chi(2) statistics, are considered for testing uniformity. Their exact distributions are calculated for different sample sizes and number of cells. Several exact power comparisons are carried out to analyse the behaviour of selected statistics. As a result of the numerical study some recommendations are given. Conclusions may be extended to testing the goodness of fit to a given absolutely continuous cumulative distribution function.
PB Elsevier Science
SN 0167-9473
YR 2005
FD 2005-06-01
LK https://hdl.handle.net/20.500.14352/50242
UL https://hdl.handle.net/20.500.14352/50242
LA eng
DS Docta Complutense
RD 14 jul 2025