von_mises_cdf()

template<typename T_x , typename T_mu , typename T_k >

return_type_t< T_x, T_mu, T_k > stan::math::von_mises_cdf ( const T_x &  x, const T_mu &  mu, const T_k &  k  )

inline

Calculates the cumulative distribution function of the von Mises distribution:

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

where

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

Parameters

x	Variate on the interval \([-pi, pi]\)
mu	The mean of the distribution
k	The inverse scale of the distriubtion

Returns

The von Mises cdf evaluated at the specified arguments

Template Parameters

T_x	Type of x
T_mu	Type of mean parameter
T_k	Type of inverse scale parameter

Definition at line 118 of file von_mises_cdf.hpp.