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Regular version of the site

Book chapter

New U-empirical tests of symmetry based on extremal order statistics, and their efficiencies

P. 231-248.
Ahsanullah M., Nikitin Y. Y.

We use a characterization of symmetry via order statistics to establish two new tests of symmetry which have U-empirical nature.

Limiting distributions and large deviations of new statistics are found, and local Bahadur efficiency is calculated.