Optimal tests for circular reflective symmetry about an unknown central direction
Methodology
2020-09-01 v1
Abstract
Parametric and semiparametric tests of circular reflective symmetry about an unknown central direction are developed that are locally and asymptotically optimal in the Le Cam sense against asymmetric -sine-skewed alternatives. The results from Monte Carlo studies comparing the rejection rates of tests with those of previously proposed tests lead to recommendations regarding the use of the various tests with small- to medium-sized samples. Analyses of data on the directions of cracks in cemented femoral components and the times of gun crimes in Pittsburgh illustrate the proposed methodology and its bootstrap extension.
Keywords
Cite
@article{arxiv.1707.09272,
title = {Optimal tests for circular reflective symmetry about an unknown central direction},
author = {Jose Ameijeiras-Alonso and Christophe Ley and Arthur Pewsey and Thomas Verdebout},
journal= {arXiv preprint arXiv:1707.09272},
year = {2020}
}