Detecting departures from meta-ellipticity for multivariate stationary time series

Axel Bücher, Miriam Jaser, Aleksey Min

Research output: Contribution to journalArticlepeer-review

Abstract

A test for detecting departures from meta-ellipticity for multivariate stationary time series is proposed. The large sample behavior of the test statistic is shown to depend in a complicated way on the underlying copula as well as on the serial dependence. Valid asymptotic critical values are obtained by a bootstrap device based on subsampling. The finite-sample performance of the test is investigated in a large-scale simulation study, and the theoretical results are illustrated by a case study involving financial log returns.

Original languageEnglish
Pages (from-to)121-140
Number of pages20
JournalDependence Modeling
Volume9
Issue number1
DOIs
StatePublished - 1 Jan 2021

Keywords

  • elliptical copula
  • empirical process
  • financial log returns
  • goodness-of-fit test
  • subsampling bootstrap

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