How often does the empirical distribution pass over an acceptance band around the hypothetical distribution function? Sheffer polynomials are applied to derive the exact distribution of this goodness-of-fit distribution and its two-sample analogue. This method leads to new proofs and extensions of Takacs's (1971) results.
Publié le : 1983-06-14
Classification:
Goodness-of-fit,
Sheffer sequences,
distribution of crossings,
62G10,
05A15
@article{1176346165,
author = {Niederhausen, Heinrich},
title = {Sheffer Polynomials for Computing Takacs's Goodness-of-Fit Distributions},
journal = {Ann. Statist.},
volume = {11},
number = {1},
year = {1983},
pages = { 600-606},
language = {en},
url = {http://dml.mathdoc.fr/item/1176346165}
}
Niederhausen, Heinrich. Sheffer Polynomials for Computing Takacs's Goodness-of-Fit Distributions. Ann. Statist., Tome 11 (1983) no. 1, pp. 600-606. http://gdmltest.u-ga.fr/item/1176346165/