2014
DOI: 10.1142/s0218488514500391
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An Archimedean Copula Family with Hyperbolic Cotangent Generator

Abstract: Hyperbolic cotangent function is proposed as a generator of new Archimedean copula family and several properties are revealed. To show performance in real data analysis, application to modeling dependence between monthly temperature extremes as well as between flood peak and volume is given.

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Cited by 8 publications
(6 citation statements)
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“…Details of these families are summarized in Table 2. As stated before, there are two new Archimedean families with hyperbolic generators, namely coth-copula and csch-copula families, recently presented to the literature by Najjari et al (2014), and Bal and Najjari (2013) respectively. These new families show more flexibility in modeling dependence structures.…”
Section: Outputmentioning
confidence: 98%
“…Details of these families are summarized in Table 2. As stated before, there are two new Archimedean families with hyperbolic generators, namely coth-copula and csch-copula families, recently presented to the literature by Najjari et al (2014), and Bal and Najjari (2013) respectively. These new families show more flexibility in modeling dependence structures.…”
Section: Outputmentioning
confidence: 98%
“…The Cot copula function has a trigonometric generator and was proposed by Pirmoradian and Hamzah (2011). Also, Csch-copula and Coth-copula families have hyperbolic generators and were proposed by Hasan and Najjari (2013) and Najjari et al (2014), respectively. Their details are provided in Table 3.…”
Section: Production Model Specificationmentioning
confidence: 99%
“…In this section, we fit Cotangent copula and the Cotangent hyperbolic copula to two data sets used in Najjari et al [3]. According to this paper, two data sets share n = 113 annual (May-October) maxima of the Vltava river (Bohemia) flow rate (measured above the dam Kamyk in period 1890-2007) for which the corresponding flood volume was computed (from daily flow averages) by two methods.…”
Section: Real Data Examplementioning
confidence: 99%
“…So, they derived approximated formula of Kendall's tau. Despite Najjari et al [3] obtained a closed-form of Kendall's tau, interval of Kendall's tau covers [1/3,1]. On the other hand, lower tail dependence is constant and equals to 1/2.…”
Section: Introductionmentioning
confidence: 97%
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