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Bootstrap-Assisted Tests of Symmetry for Dependent Data

Zacharias Psaradakis and Márian Vávra
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Márian Vávra: Birkbeck Centre for Applied Macroeconomics, University of London

Authors registered in the RePEc Author Service: Marian Vavra ()

No 1806, Birkbeck Working Papers in Economics and Finance from Birkbeck, Department of Economics, Mathematics & Statistics

Abstract: The paper considers the problem of testing for symmetry (about an unknown centre) of the marginal distribution of a strictly stationary and weakly dependent stochastic process. The possibility of using the autoregressive sieve bootstrap and stationary bootstrap procedures to obtain critical values and P-values for symmetry tests is explored. Bootstrap-assisted tests for symmetry are straightforward to implement and require no prior estimation of asymptotic variances. The small-sample properties of a wide variety of tests are investigated using Monte Carlo experiments. A bootstrap-assisted version of the triples test is found to have the best overall performance.

Keywords: Autoregressive sieve bootstrap; Stationary bootstrap; Symmetry; Weak dependence. (search for similar items in EconPapers)
Date: 2018-07
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https://eprints.bbk.ac.uk/id/eprint/26849 First version, 2018

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