New $$U$$ U -empirical Tests of Symmetry Based on Extremal Order Statistics, and Their Efficiencies

Ya. Yu. Nikitin () and M. Ahsanullah ()
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Ya. Yu. Nikitin: Saint-Petersburg State University, Department of Mathematics and Mechanics
M. Ahsanullah: Rider University, Department of Management Sciences

A chapter in Mathematical Statistics and Limit Theorems, 2015, pp 231-248 from Springer

Abstract: Abstract We use a characterization of symmetry in terms of extremal order statistics which enables to build several new nonparametric tests of symmetry. We discuss their limiting distributions and calculate their local exact Bahadur efficiency under location alternative which is mostly high.

Keywords: Local Bahadur Efficiency; Local Exact Slope; Kolmogorov-type Test; Large Deviation Asymptotics; Baringhaus (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-12442-1_13

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DOI: 10.1007/978-3-319-12442-1_13

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