Nonparametric tests for conditional symmetry Articles uri icon

publication date

  • October 2018

start page

  • 447

end page

  • 471

issue

  • 2

volume

  • 206

International Standard Serial Number (ISSN)

  • 0304-4076

Electronic International Standard Serial Number (EISSN)

  • 1872-6895

abstract

  • We propose omnibus tests for symmetry of the conditional distribution of a time series process about a nonparametric regression function. The test statistic is a weighted version of the integrated squared difference between the restricted and unrestricted estimators of the joint characteristic function of nonparametric residuals and explanatory variables, whose critical values are estimated with the assistance of a bootstrap technique. The test is sensitive to local alternatives converging to the null at the parametric rate T-1/2, with T the sample size. We investigate the finite sample performance of the test by means of Monte Carlo experiments and two empirical applications to test whether losses are more likely than gains in financial markets, and whether expansions and contractions are equally likely in business cycles, given the relevant information. (C) 2018 Elsevier B.V. All rights reserved.

keywords

  • conditional symmetry; nonparametric testing; permutation; smoothing; time series data