Skip to main content

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