Kolmogorov-Smirnov two-sample test based on regression rank scores

Martin Schindler

Applications of Mathematics (2008)

  • Volume: 53, Issue: 4, page 297-304
  • ISSN: 0862-7940

Abstract

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We derive the two-sample Kolmogorov-Smirnov type test when a nuisance linear regression is present. The test is based on regression rank scores and provides a natural extension of the classical Kolmogorov-Smirnov test. Its asymptotic distributions under the hypothesis and the local alternatives coincide with those of the classical test.

How to cite

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Schindler, Martin. "Kolmogorov-Smirnov two-sample test based on regression rank scores." Applications of Mathematics 53.4 (2008): 297-304. <http://eudml.org/doc/37785>.

@article{Schindler2008,
abstract = {We derive the two-sample Kolmogorov-Smirnov type test when a nuisance linear regression is present. The test is based on regression rank scores and provides a natural extension of the classical Kolmogorov-Smirnov test. Its asymptotic distributions under the hypothesis and the local alternatives coincide with those of the classical test.},
author = {Schindler, Martin},
journal = {Applications of Mathematics},
keywords = {regression rank scores; Kolmogorov-Smirnov test; two sample problem; Cramér-von Mises test; Kolmogorov-Smirnov test; two sample problem; Cramér-von Mises test},
language = {eng},
number = {4},
pages = {297-304},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Kolmogorov-Smirnov two-sample test based on regression rank scores},
url = {http://eudml.org/doc/37785},
volume = {53},
year = {2008},
}

TY - JOUR
AU - Schindler, Martin
TI - Kolmogorov-Smirnov two-sample test based on regression rank scores
JO - Applications of Mathematics
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 297
EP - 304
AB - We derive the two-sample Kolmogorov-Smirnov type test when a nuisance linear regression is present. The test is based on regression rank scores and provides a natural extension of the classical Kolmogorov-Smirnov test. Its asymptotic distributions under the hypothesis and the local alternatives coincide with those of the classical test.
LA - eng
KW - regression rank scores; Kolmogorov-Smirnov test; two sample problem; Cramér-von Mises test; Kolmogorov-Smirnov test; two sample problem; Cramér-von Mises test
UR - http://eudml.org/doc/37785
ER -

References

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  1. Gutenbrunner, C., Jurečková, J., 10.1214/aos/1176348524, Ann. Stat. 20 (1992), 305-330. (1992) MR1150346DOI10.1214/aos/1176348524
  2. Gutenbrunner, C., Jurečková, J., Koenker, R., Portnoy, S., 10.1080/10485259308832561, J. Nonparametric Stat. 2 (1993), 307-331. (1993) MR1256383DOI10.1080/10485259308832561
  3. Hájek, J., Extension of the Kolmogorov-Smirnov test to regression alternatives, Proc. Bernoulli-Bayes-Laplace Seminar L. LeCam Univ. of California Press (1965), 45-60. (1965) MR0198622
  4. Hájek, J., Šidák, Z., Theory of Rank Tests, Academia Praha (1967). (1967) MR0229351
  5. Jurečková, J., Tests of Kolmogorov-Smirnov type based on regression rank scores, Information Theory, Stastistical Decision Functions, Random Processes. Trans. 11th Prague Conf., Prague 1990, Vol. B J. Á. Víšek Academia &amp; Kluwer Praha &amp; Dordrecht (1992), 41-49. (1992) 
  6. Koenker, R., (1978), G. Bassett, 10.2307/1913643, Econometrica 46 (1978), 33-50. (1978) MR0474644DOI10.2307/1913643

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