/usr/include/openturns/swig/MaximumEntropyOrderStatisticsCopula_doc.i is in libopenturns-dev 1.7-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 | %feature("docstring") OT::MaximumEntropyOrderStatisticsCopula
"MaximumEntropyOrderStatisticsCopula copula.
Parameters
----------
coll : sequence of :class:`~openturns.Distribution`
The margins, with range verifying :math:`a_i \\\\leq a_{i+1}` and :math:`b_i \\\\leq b_{i+1}`.
Notes
-----
Its probability density function is defined as:
.. math::
f_U(u) = \\\\prod\\\\limits_{k=2}^d \\\\frac{\\\\exp\\\\left(-\\\\int_{\\\\partial_{k-1}^{-1}(u_{k-1})}^{\\\\partial_k^{-1}(u_k)} \\\\phi_k(s) ds\\\\right)}{\\\\partial_{k-1}(\\\\partial_k^{-1}(u_k))-u_k} \\\\mathbf{1}_{F_1^{-1}(u_1) \\\\leq \\\\dots \\\\leq F_d^{-1}(u_d)}
\\\\text{with } \\\\partial_k(t) = F_k(G^{-1}(t)) \\\\text{ and } G(t) = \\\\frac{1}{t} \\\\sum\\\\limits_{k=1}^d F_k(t)
Examples
--------
Create a distribution:
>>> import openturns as ot
>>> coll = [ot.Uniform(-1., 1.), ot.LogUniform(1., 1.2), ot.Triangular(3., 4., 5.)]
>>> copulaOrderStat = ot.MaximumEntropyOrderStatisticsCopula(coll)
Draw a sample:
>>> sample = copulaOrderStat.getSample(10)"
// ---------------------------------------------------------------------
%feature("docstring") OT::MaximumEntropyOrderStatisticsCopula::getDistributionCollection
"Accessor to the distribution's margins collection.
Returns
-------
coll : sequence of :class:`~openturns.Distribution`
The marginals."
// ---------------------------------------------------------------------
%feature("docstring") OT::MaximumEntropyOrderStatisticsCopula::setDistributionCollection
"Accessor to the distribution's collection.
Parameters
----------
coll : sequence of :class:`~openturns.Distribution`
The margins."
// ---------------------------------------------------------------------
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