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Table 6 Kendall's measure of association and Archimedean copulas

From: Effects of climate on West Nile Virus transmission risk used for public health decision-making in Quebec

Family of copulas

Independent

Gumbel

Clayton

Frank

Kendall's τ

0

θ − 1 θ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGGaciab=H7aXjabgkHiTiabigdaXaqaaiab=H7aXbaaaaa@3207@

θ θ + 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaaGGaciab=H7aXbqaaiab=H7aXjabgUcaRiabikdaYaaaaaa@31FE@

1 − 4 θ { 1 − D 1 ( θ ) } MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqaIXaqmcqGHsisldaWcaaqaaiabisda0aqaaGGaciab=H7aXbaadaGadeqaaiabigdaXiabgkHiTiabdseaenaaBaaaleaacqaIXaqmaeqaaOWaaeWaaeaacqWF4oqCaiaawIcacaGLPaaaaiaawUhacaGL9baaaaa@3ACC@

  1. Note: D k ( x ) = k x k ∫ 0 x t k e t − 1 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGebardaWgaaWcbaGaem4AaSgabeaakmaabmaabaGaemiEaGhacaGLOaGaayzkaaGaeyypa0ZaaSaaaeaacqWGRbWAaeaacqWG4baEdaahaaWcbeqaaiabdUgaRbaaaaGcdaWdXaqaamaalaaabaGaemiDaq3aaWbaaSqabeaacqWGRbWAaaaakeaacqWGLbqzdaahaaWcbeqaaiabdsha0baakiabgkHiTiabigdaXaaaaSqaaiabicdaWaqaaiabdIha4bqdcqGHRiI8aaaa@4457@ is called "Debye" function
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International Journal of Health Geographics

ISSN: 1476-072X