A Test for Symmetry Based on the Probability Weighted Characteristic Function

• Activity Number: 415
• Type: Contributed
• Date/Time: Tuesday, August 5, 2014 : 2:00 PM to 3:50 PM
• Sponsor: Section on Nonparametric Statistics
• Author(s): Leonard Santana*+ and James Allison and Simos Meintanis
• Companies: North-West University and North-West University and Kapodistrian University of Athens
• Keywords: Goodness-of-fit test ; Characteristic function ; Empirical characteristic function ; Test for Symmetry ; Probability weighted empirical characteristic function ; Bootstrap

Abstract

We propose a new test for symmetry which employs the novel notion of the probability weighted empirical characteristic function (PWECF). The performance of the newly proposed test is compared to procedures based on the ordinary empirical characteristic function as well as to other more well-known procedures. The new tests based on the PWECF are found to compare favourably to the other more well-established procedures.