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Randomization tests of copula symmetry

Brendan K. Beare, Juwon Seo

arXiv 13 Nov 2019 · Econometrics · publishedEconometric Theory (2020) · 7 citations (OpenAlex)

arXiv:1911.05307 · PDF · DOI · OpenAlex · Extracted main text

Abstract

New nonparametric tests of copula exchangeability and radial symmetry are proposed. The novel aspect of the tests is a resampling procedure that exploits group invariance conditions associated with the relevant symmetry hypothesis. They may be viewed as feasible versions of randomization tests of symmetry, the latter being inapplicable due to the unobservability of margins. Our tests are simple to compute, control size asymptotically, consistently detect arbitrary forms of asymmetry, and do not require the specification of a tuning parameter. Simulations indicate excellent small sample properties compared to existing procedures involving the multiplier bootstrap.

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Genest, C.\ and Neslehová, J.\ G (2014) On tests of radial symmetry for bivariate copulas0.96510690%
2Genest, C., Neslehová, J.\ G.\ and Quessy, J.\ -F (2012) Tests of symmetry for bivariate copulas0.93511582%
3Chung, E.\ and Romano, J.\ P (2013) Exact and asymptotically robust permutation tests0.87452100%
4Kosorok, M.\ R (2008) Introduction to Empirical Processes and Semiparametric Inference0.86011364%
5Bücher, A.\ and Dette, H (2010) A note on bootstrap approximations for the empirical copula process0.84333100%
6Romano, J.\ P (1989) Bootstrap and randomization tests of some nonparametric hypotheses0.84333100%
7Rémillard, B.\ and Scaillet, O (2009) Testing for equality between two copulas0.84333100%
8Bahraoui, T.\ and Quessy, J.\ -F (2017) Tests of radial symmetry for multivariate copulas based on the copula characteristic function0.73732100%
9Romano, J.\ P (1990) On the behavior of randomization tests without a group invariance assumption0.73732100%
10Canay, I.\ A., Romano, J.\ P.\ and Shaikh, A (2017) Randomization tests under an approximate symmetry assumption0.64441100%

Showing the top 10 of 52 scored citations.