Automatic Differentiation
 
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◆ von_mises_lccdf()

template<typename T_x , typename T_mu , typename T_k >
return_type_t< T_x, T_mu, T_k > stan::math::von_mises_lccdf ( const T_x &  x,
const T_mu &  mu,
const T_k &  k 
)
inline

Calculates the log of the complement of the cumulative distribution function of the von Mises distribution:

\(VonMisesLCCDF(x, \mu, \kappa) = \log ( 1.0 - \frac{1}{2\pi I_0(\kappa)} \int_{-\pi}^x\) \(e^{\kappa cos(t - \mu)} dt )\)

where

\(x \in [-\pi, \pi]\), \(\mu \in \mathbb{R}\), and \(\kappa \in \mathbb{R}^+\).

Parameters
xVariate on the interval \([-pi, pi]\)
muThe mean of the distribution
kThe inverse scale of the distriubtion
Returns
The log of the von Mises cdf evaluated at the specified arguments
Template Parameters
T_xType of x
T_muType of mean parameter
T_kType of inverse scale parameter

Definition at line 32 of file von_mises_lccdf.hpp.