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Simulation techniques of Archimedean Copula Estimators: Parametric and Semi-Parametric Approaches

N. Idiou and F. Benatia
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N. Idiou: Mohamed Khider University, Algeria
F. Benatia: Mohamed Khider University, Algeria

European Journal of Mathematics and Statistics, 2021, vol. 2, issue 3, 52-60

Abstract: In this paper, we look at two different approaches methodologies for copula estimation. The first is based on a parametric approach using MLE and IFM methods, while the second is entirely based on Kendall's tau and spearman's rho in a semi-parametric context, where the margins are estimated non-parametrically. Interestingly, based on R software simulation techniques, the contribution of their algorithms, approach, and illustration was our main focus for this paper. As an application, a class of Archimedean copulas was notably chosen. This particular class of copulas was also presented for censored data to show the estimator's performance even better.

Keywords: Archimedean copula; Parametric estimation; Simulation study; R software; Semi-parametric approaches (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:2:y:2021:i:3:id:14048

DOI: 10.24018/ejmath.2021.2.3.48

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