1%feature("docstring") OT::GumbelCopula 2"Gumbel copula. 3 4Parameters 5---------- 6theta : float 7 Parameter :math:`\theta`, :math:`\theta \geq 1`. Default is :math:`\theta=2`. 8 9Notes 10----- 11The Gumbel copula is a bivariate asymmetric Archimedean copula, exhibiting 12greater dependence in the positive tail than in the negative. It is defined by: 13 14.. math:: 15 16 C(u_1, u_2) = \exp(-((-log(u_1))^{\theta} + (-log(u_2))^{\theta}))^{1/\theta}) 17 18for :math:`(u_1, u_2) \in [0, 1]^2` 19 20And its generator is: 21 22.. math:: 23 24 \varphi(t) = (-\log(t))^{\theta} 25 26See also 27-------- 28ArchimedeanCopula 29 30Examples 31-------- 32Create a distribution: 33 34>>> import openturns as ot 35>>> copula = ot.GumbelCopula(2.5) 36 37Draw a sample: 38 39>>> sample = copula.getSample(5)" 40 41// --------------------------------------------------------------------- 42 43%feature("docstring") OT::GumbelCopula::getTheta 44"Get the parameter :math:`\theta`. 45 46Returns 47------- 48theta : float 49 Parameter :math:`\theta` of the copula." 50 51// --------------------------------------------------------------------- 52 53%feature("docstring") OT::GumbelCopula::setTheta 54"Set the parameter :math:`\theta`. 55 56Parameters 57---------- 58theta : float, :math:`\theta \geq 1` 59 Parameter :math:`\theta` of the copula." 60