◆ 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

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.