Email this article Asymptotic Efficiency of New Distribution-Free Tests of Symmetry for Generalized Skew Alternatives
- Authors: Bookiya G.T.1, Nikitin Y.Y.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 229, No 6 (2018)
- Pages: 651-663
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240504
- DOI: https://doi.org/10.1007/s10958-018-3704-5
- ID: 240504
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Abstract
The Bahadur efficiency of new nonparametric tests of symmetry recently proposed by Nikitin and Ahsanullah is calculated. In contrast to this result, where only location alternatives were discussed, in the present paper generalized skew alternatives are of interest. It is shown that the new tests are highly efficient for a large class of skew alternatives. The problem of most favorable alternatives is also studied.
About the authors
G. T. Bookiya
St.Petersburg State University
Author for correspondence.
Email: gregorybookia@yandex.ru
Russian Federation, St. Petersburg
Ya. Yu. Nikitin
St.Petersburg State University
Email: gregorybookia@yandex.ru
Russian Federation, St. Petersburg
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