/usr/include/openturns/swig/Beta_doc.i is in libopenturns-dev 1.7-3.
This file is owned by root:root, with mode 0o644.
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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 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 | %feature("docstring") OT::Beta
"Beta distribution.
Available constructors:
Beta(*arg1=2.0, arg2=4.0, a=-1.0, b=1.0, parameters_set=ot.Beta.RT*)
Parameters
----------
arg1 : float
If *parameters_set == ot.Beta.RT*: shape parameter :math:`r > 0` with
:math:`r = t * (\\\\mu - a) / (b - a)`.
If *parameters_set == ot.Beta.MUSIGMA*: mean :math:`\\\\mu`.
arg2 : float
If *parameters_set == ot.Beta.RT*: shape parameter :math:`t > r` with
:math:`t = (b - \\\\mu) * (\\\\mu - a) / \\\\sigma^2 - 1`.
If *parameters_set == ot.Beta.MUSIGMA*: standard deviation :math:`\\\\sigma > 0`.
a : float
Lower bound.
b : float, :math:`b > a`
Upper bound.
parameters_set : int, optional
An integer telling which parameters set is used for defining the
distribution (amongst *ot.Beta.RT, ot.Beta.MUSIGMA*).
Notes
-----
Its probability density function is defined as:
.. math::
f_X(x) = \\\\frac{(x - a)^{r - 1} (b - x)^{t - r - 1}}
{(b - a)^{t - 1} {\\\\rm B}(r, t - r)},
\\\\quad x \\\\in [a, b]
with :math:`r < t` and :math:`a < b` and where :math:`\\\\rm B` denotes
Euler's beta function :class:`~openturns.SpecFunc_Beta`.
Its first moments are:
.. math::
:nowrap:
\\\\begin{eqnarray*}
\\\\Expect{X} & = & a + \\\\frac{(b - a)\\\\,r}{t} \\\\\\\\
\\\\Var{X} & = & \\\\left(\\\\frac{b - a}{t}\\\\right)^2 \\\\frac{r\\\\,(t - r)}{t + 1}
\\\\end{eqnarray*}
Examples
--------
Create a distribution:
>>> import openturns as ot
>>> distribution = ot.Beta(2., 1., 1., 5., ot.Beta.MUSIGMA)
Draw a sample:
>>> sample = distribution.getSample(10)"
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::getR
"Accessor to the distribution's shape parameter :math:`r`.
Returns
-------
r : float
Shape parameter :math:`r`."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::getT
"Accessor to the distribution's shape parameter :math:`t`.
Returns
-------
t : float
Shape parameter :math:`t`."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::getA
"Accessor to the distribution's lower bound.
Returns
-------
a : float
Lower bound."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::getB
"Accessor to the distribution's upper bound.
Returns
-------
b : float
Upper bound."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::getMu
"Accessor to the distribution's mean.
Returns
-------
mu : float
Mean."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::getSigma
"Accessor to the distribution's standard deviation.
Returns
-------
sigma : float, :math:`\\\\sigma > 0`
Standard deviation."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::setR
"Accessor to the distribution's shape parameter :math:`r`.
Parameters
----------
r : float, :math:`r > 0`
Shape parameter :math:`r`."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::setT
"Accessor to the distribution's shape parameter :math:`t`.
Parameters
----------
t : float, :math:`t > r`
Shape parameter :math:`t`."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::setA
"Accessor to the distribution's lower bound.
Parameters
----------
a : float, :math:`a < b`
Lower bound."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::setB
"Accessor to the distribution's upper bound.
Parameters
----------
b : float, :math:`b > a`
Upper bound."
// ---------------------------------------------------------------------
%feature("docstring") OT::Beta::setMuSigma
"Accessor to the distribution's mean and standard deviation.
Parameters
----------
mu : float
Mean.
sigma : float, :math:`\\\\sigma > 0`
Standard deviation."
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