Artikel

Goodness-of-fit tests for copulas of multivariate time series

In this paper, we study the asymptotic behavior of the sequential empirical process and the sequential empirical copula process, both constructed from residuals of multivariate stochastic volatility models. Applications for the detection of structural changes and specification tests of the distribution of innovations are discussed. It is also shown that if the stochastic volatility matrices are diagonal, which is the case if the univariate time series are estimated separately instead of being jointly estimated, then the empirical copula process behaves as if the innovations were observed; a remarkable property. As a by-product, one also obtains the asymptotic behavior of rank-based measures of dependence applied to residuals of these time series models.

Language
Englisch

Bibliographic citation
Journal: Econometrics ; ISSN: 2225-1146 ; Volume: 5 ; Year: 2017 ; Issue: 1 ; Pages: 1-23 ; Basel: MDPI

Classification
Wirtschaft
Hypothesis Testing: General
Semiparametric and Nonparametric Methods: General
Statistical Simulation Methods: General
Financial Econometrics
Subject
goodness-of-fit
time series
copulas
GARCH models

Event
Geistige Schöpfung
(who)
Rémillard, Bruno
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2017

DOI
doi:10.3390/econometrics5010013
Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Rémillard, Bruno
  • MDPI

Time of origin

  • 2017

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