@inproceedings{8f6baaaca0c44f9590270d025872a3c7,

title = "A numerical study of the power function of a new symmetry test",

abstract = "A new nonparametric test for the null hypothesis of symmetry is proposed. A necessary and sufficient condition for symmetry, which is based on the fact that under symmetry the covariance between the probability density and cumulative distribution functions of the underlying population is zero, is used to define the test statistic. The main emphasis here is on the small sample power properties of the test. Through simulations with samples generated from a wide range of distributions, it is shown that the test has a reasonable power function which compares favorably against many other existing tests of symmetry. It is also shown that the defining feature of this test is “the higher the asymmetry higher is the power”.",

keywords = "Asymmetry, Correlation, Nonparametric estimation, Skewness",

author = "D. Bagkavos and Patil, {P. N.} and Wood, {A. T.A.}",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 2nd Conference of the International Society for Nonparametric Statistics, ISNPS 2014 ; Conference date: 12-06-2014 Through 16-06-2014",

year = "2016",

doi = "10.1007/978-3-319-41582-6_1",

language = "English",

isbn = "9783319415819",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "1--10",

editor = "Juan Romo and Ricardo Cao and Manteiga, {Wenceslao Gonz{\'a}lez}",

booktitle = "Nonparametric Statistics - 2nd ISNPS 2014",

}