Nonparametric Estimation of Copulas for Time Series
Author(s) -
Olivier Scaillet,
JeanDavid Fermanian
Publication year - 2003
Publication title -
ssrn electronic journal
Language(s) - English
Resource type - Journals
ISSN - 1556-5068
DOI - 10.2139/ssrn.372142
Subject(s) - nonparametric statistics , series (stratigraphy) , econometrics , estimation , time series , statistics , copula (linguistics) , mathematics , computer science , economics , management , paleontology , biology
We consider a nonparametric method to estimate copulas, i.e. functions linking joint distributions to their univariate margins. We derive the asymptotic properties of kernel es- timators of copulas and their derivatives in the context of a multivariate stationary process satisfactory strong mixing conditions. Monte Carlo results are reported for a stationary vector autoregressive process of order one with Gaussian innovations. An empirical illus- tration containing a comparison with the independent, comotonic and Gaussian copulas is given for European and US stock index returns. Key words: Nonparametric, Kernel, Time Series, Copulas, Dependence Measures, Risk Man-
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