This paper proposes a simple consistent non-parametric test of conditional symmetry based on the principle of characteristic functions. The test statistic is shown to be asymptotically normal under the null hypothesis of conditional symmetry and consistent against any conditional asymmetric distributions. We also study the power against local alternatives, propose a bootstrap version of the test, and conduct a small Monte Carlo simulation to evaluate the ﬁnite-sample performance of the test.
Bootstrap; Conditional symmetry; Characteristic function; Test; U-statistics.
Annals of Economics and Finance
Peking Univ. Press
SU, Liangjun and JIN, Sainan.
A bootstrap test for conditional symmetry. (2005). Annals of Economics and Finance. 6, 251-261. Research Collection School Of Economics.
Available at: http://ink.library.smu.edu.sg/soe_research/2040
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