Extropy of order statistics applied to testing symmetry

AuthorsJalil Jarrahiferiz
JournalCommunications in Statistics Part B: Simulation and Computation
Page number3389-3399
Serial number51
Volume number6
IF0.457
Paper TypeFull Paper
Published At2022
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal IndexJCR،Scopus

Abstract

The results of the extropy of order statistics are applied to constructing a test statistic for symmetry. This test statistic has this advantage that we do not need to estimate the center of the symmetry. Through a simulation study, the power of the test is computed and then compared with the competing tests. The power results show that, for a wide variety of alternative asymmetric distributions, the proposed test is much more powerful than other tests. A real data set is presented and analyzed.

Paper URL

tags: Extropy; Generalized lambda family; Order statistics; Test power; Testing symmetry