%feature("docstring") OT::MarshallOlkinCopula "MarshallOlkin copula. Parameters ---------- alpha : float Parameter :math:`\alpha`, :math:`0 \leq \alpha \leq 1`. Default is :math:`\alpha=0.5`. beta : float Parameter :math:`\beta`, :math:`0 \leq \beta \leq 1`. Default is :math:`\beta=0.5`. Notes ----- The MarshallOlkin copula is a bivariate copula defined by: .. math:: C(u_1, u_2) = \begin{cases} u_1^{1-\alpha} u_2, \textrm{ if } u_1^{1-\alpha} \geq u_2^{1-\beta} \\ u_1 u_2^{1-\beta}, \textrm{ otherwise.} \end{cases} for :math:`(u_1, u_2) \in [0, 1]^2`. This copula is also known as the generalized Cuadras-Auge copula. Independence corresponds to :math:`\alpha = 0` or :math:`\beta = 0`. The minimum copula corresponds to :math:`\alpha = \beta = 1`. More details on this copula can be found in [nelsen2006]_, chapter 3, section 3.1.1, page 52. Examples -------- Create a Marshall-Olkin copula with default parameters: >>> import openturns as ot >>> copula = ot.MarshallOlkinCopula() Create a Marshall-Olkin copula: >>> import openturns as ot >>> copula = ot.MarshallOlkinCopula(0.3,0.7)" // --------------------------------------------------------------------- %feature("docstring") OT::MarshallOlkinCopula::getAlpha "Get the parameter :math:`\alpha`. Returns ------- alpha : float Parameter :math:`\alpha` of the copula." // --------------------------------------------------------------------- %feature("docstring") OT::MarshallOlkinCopula::setAlpha "Set the parameter :math:`\alpha`. Parameters ---------- alpha : float, :math:`0 \leq \alpha \leq 1` Parameter :math:`\alpha` of the copula." // --------------------------------------------------------------------- %feature("docstring") OT::MarshallOlkinCopula::getBeta "Get the parameter :math:`\beta`. Returns ------- beta : float Parameter :math:`\beta` of the copula." // --------------------------------------------------------------------- %feature("docstring") OT::MarshallOlkinCopula::setBeta "Set the parameter :math:`\beta`. Parameters ---------- beta : float, :math:`0 \leq \beta \leq 1` Parameter :math:`\beta` of the copula."