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

Links

http://www.springer.com/us/book/9783319124414

DOI

https://doi.org/Doi 10.1007/978-3-319-12442-1_13
Other version

Ya. Yu. Nikitin
Mohammed Ahsanullah

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

Original language	English
Title of host publication	Mathematical Statistics and Limit Theorems. Festschrift in Honour of Paul Deheuvels.
Place of Publication	Switzerland
Publisher	Springer Nature
Pages	231- 248
ISBN (Print)	ISBN 978-3-319-12442-1
DOIs	https://doi.org/Doi 10.1007/978-3-319-12442-1_13
State	Published - 2015
Externally published	Yes

Research areas

U-statistics, testing of symmetry, Bahadur efficiency, large deviations

ID: 4722832