Some notes on the location–scale Cucconi test

@article{Marozzi2009SomeNO,
  title={Some notes on the location–scale Cucconi test},
  author={Marco Marozzi},
  journal={Journal of Nonparametric Statistics},
  year={2009},
  volume={21},
  pages={629 - 647}
}
  • M. Marozzi
  • Published 1 July 2009
  • Mathematics
  • Journal of Nonparametric Statistics
The best known and most used rank test for the location–scale problem is due to Lepage [Y. Lepage, A combination of Wilcoxon's and Ansari–Bradley's statistics, Biometrika 58 (1971), pp. 213–217.], but this paper is focused on the location–scale rank test of Cucconi [O. Cucconi, Un nuovo test non parametrico per il confronto tra due gruppi campionari, Giorn. Econom. XXVII (1968), pp. 225–248.], proposed earlier but not nearly as well-known. The test is of interest because, contrary to the other… 

A moment generating function of a combination of linear rank tests and its asymptotic efficiency

When testing hypotheses in two-sample problems, the Lepage test has often been used to jointly test the location and scale parameters, and has been discussed by many authors over the years. The

Nonparametric Simultaneous Tests for Location and Scale Testing: A Comparison of Several Methods

  • M. Marozzi
  • Mathematics
    Commun. Stat. Simul. Comput.
  • 2013
These tests for the jointly detection of location and scale changes by means of a very detailed simulation study are reviewed and it is shown that both the Podgor–Gastwirth test and the computationally simpler Cucconi test are preferable.

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