The Annals of Mathematical Statistics

Asymptotic Properties of Rank Tests of Symmetry Under Discrete Distributions

Dana Vorlickova

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Abstract

The paper deals with problems of rank tests of symmetry when samples are drawn from purely discrete distributions so that ties of zero and non-zero observations may occur. Zero observations are considered in the same way as nonzero ones. Two ways of treatment of ties are used in the paper, randomization of ties and the method of averaged scores. The asymptotic distributions of the statistics are derived under hypothesis of symmetry and under contiguous alternatives of location. The asymptotic power and efficiency of tests are established.

Article information

Source
Ann. Math. Statist., Volume 43, Number 6 (1972), 2013-2018.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177690875

Digital Object Identifier
doi:10.1214/aoms/1177690875

Mathematical Reviews number (MathSciNet)
MR365890

Zentralblatt MATH identifier
0263.62030

JSTOR
links.jstor.org

Citation

Vorlickova, Dana. Asymptotic Properties of Rank Tests of Symmetry Under Discrete Distributions. Ann. Math. Statist. 43 (1972), no. 6, 2013--2018. doi:10.1214/aoms/1177690875. https://projecteuclid.org/euclid.aoms/1177690875


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