A new test for symmetry against right skewness Article

Amiri, M, Khaledi, BE. (2016). A new test for symmetry against right skewness . JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 86(8), 1479-1496. 10.1080/00949655.2015.1071374

cited authors

  • Amiri, M; Khaledi, BE

authors

abstract

  • Let X be a continuous random variable with distribution function F. If F is symmetric about 0, then for 0 < p < 1, ηp = −η1−p, where ηp is the pth quantile of X. Using this well-known observation, based on a random sample from F, a new test of symmetry against right skewness is proposed and its exact null distribution is obtained. It is shown that the proposed test is relatively more powerful than some other tests in the literature including a test given by Corzo and Babativa [A modified runs test for symmetry. J Statist Comput Simul. 2013; 83: 984-991].

publication date

  • January 1, 2016

published in

Digital Object Identifier (DOI)

start page

  • 1479

end page

  • 1496

volume

  • 86

issue

  • 8