The weak convergence of empirical distribution functions subject to random perturbations and scale factors to a Gaussian process is established. This result is used to study the efficiencies of tests based on spacings in goodness-of-fit problems.
Publié le : 1975-03-14
Classification:
Weak convergence,
perturbations and scale factors,
empirical distribution functions,
spacings,
efficiencies of tests,
goodness-of-fit tests,
62E20,
62G20,
62G10,
60F05
@article{1176343058,
author = {Rao, J. S. and Sethuraman, J.},
title = {Weak Convergence of Empirical Distribution Functions of Random Variables Subject to Perturbations and Scale Factors},
journal = {Ann. Statist.},
volume = {3},
number = {1},
year = {1975},
pages = { 299-313},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343058}
}
Rao, J. S.; Sethuraman, J. Weak Convergence of Empirical Distribution Functions of Random Variables Subject to Perturbations and Scale Factors. Ann. Statist., Tome 3 (1975) no. 1, pp. 299-313. http://gdmltest.u-ga.fr/item/1176343058/