Bibliography
Journal Article
Asymptotic distribution for goodness-of-fit statistics in a sequence of multinomial models
,
: Statistics & Probability Letters vol.56, 1 (2002), p. 57-67
: CEZ:AV0Z1075907
: IAA1075101, GA AV ČR
: goodness-of-fit statistics, disparity statistics, goodnes-of-fit tests
(eng): We consider a class of disparity measures between discrete distributions consisting of k depending, as well as the probability themselves, on n=1,2,... and their estimates based on k multinomially distributed statistics. Using the classical results of Pearson and Tumayan, we formulate new conditions on sequences of distributions under which standardized disparities tend to the chi-square or normal laws when n increases to infinity.
: 12B
: BB