A point estimator and a set of confidence intervals based on the Kolmogorov-Smirnov statistic are proposed for the shift parameter in the two-sample problem. Asymptotic distibution of the etimator as well as asymptotic bounds for the lengths of the intervals are derived. The two-sample results are then adapted to the one-sample problem to define an estimator and a set of confidence intervals for the center of a symmetric population.
Publié le : 1975-07-14
Classification:
Shift parameter,
center of symmetry,
Kolmogorov-Smirnov statistics,
empirical distribution function,
estimation,
confidence interval,
asymptotic distribution
@article{1176343187,
author = {Rao, P. V. and Schuster, Eugene F. and Littell, Ramon C.},
title = {Estimation of Shift and Center of Symmetry Based on Kolmogorov-Smirnov Statistics},
journal = {Ann. Statist.},
volume = {3},
number = {1},
year = {1975},
pages = { 862-873},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343187}
}
Rao, P. V.; Schuster, Eugene F.; Littell, Ramon C. Estimation of Shift and Center of Symmetry Based on Kolmogorov-Smirnov Statistics. Ann. Statist., Tome 3 (1975) no. 1, pp. 862-873. http://gdmltest.u-ga.fr/item/1176343187/