An estimator for the new bivariate copula

Copula modelling is becoming more popular in modelling dependence multivariate distributions and various copulas have been suggested throughout the literature. In a previous study, we had proposed a new bivariate copula based on Rüschendorf method and had studied some properties of that copula. Ther...

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Main Authors: Mah, Pauline Jin Wee, Shitan, Mahendran
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57421/1/An%20estimator%20for%20the%20new%20bivariate%20copula.pdf
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author Mah, Pauline Jin Wee
Shitan, Mahendran
author_facet Mah, Pauline Jin Wee
Shitan, Mahendran
author_sort Mah, Pauline Jin Wee
collection UPM
description Copula modelling is becoming more popular in modelling dependence multivariate distributions and various copulas have been suggested throughout the literature. In a previous study, we had proposed a new bivariate copula based on Rüschendorf method and had studied some properties of that copula. Therefore, in this paper, we propose an estimator for the new bivariate copula based on Kendall’s τ. The bias and the asymptotic variance of the estimator are also given in this paper where a simulation study was conducted to verify these results. Hence, we find the proposed estimator based on Kendall’s τ to be a suitable estimator for the new bivariate copula and this study adds on to contribute to the literature of the bivariate copula.
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spelling upm.eprints-574212017-09-27T10:13:19Z http://psasir.upm.edu.my/id/eprint/57421/ An estimator for the new bivariate copula Mah, Pauline Jin Wee Shitan, Mahendran Copula modelling is becoming more popular in modelling dependence multivariate distributions and various copulas have been suggested throughout the literature. In a previous study, we had proposed a new bivariate copula based on Rüschendorf method and had studied some properties of that copula. Therefore, in this paper, we propose an estimator for the new bivariate copula based on Kendall’s τ. The bias and the asymptotic variance of the estimator are also given in this paper where a simulation study was conducted to verify these results. Hence, we find the proposed estimator based on Kendall’s τ to be a suitable estimator for the new bivariate copula and this study adds on to contribute to the literature of the bivariate copula. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57421/1/An%20estimator%20for%20the%20new%20bivariate%20copula.pdf Mah, Pauline Jin Wee and Shitan, Mahendran (2016) An estimator for the new bivariate copula. In: 2nd International Conference on Mathematics, Engineering and Industrial Applications 2016 (ICoMEIA 2016), 10-12 Aug. 2016, Songkhla, Thailand. (pp. 1-12). 10.1063/1.4965178
spellingShingle Mah, Pauline Jin Wee
Shitan, Mahendran
An estimator for the new bivariate copula
title An estimator for the new bivariate copula
title_full An estimator for the new bivariate copula
title_fullStr An estimator for the new bivariate copula
title_full_unstemmed An estimator for the new bivariate copula
title_short An estimator for the new bivariate copula
title_sort estimator for the new bivariate copula
url http://psasir.upm.edu.my/id/eprint/57421/1/An%20estimator%20for%20the%20new%20bivariate%20copula.pdf
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