normal_cdf() [2/2]

template<typename T_y , typename T_loc , typename T_scale , require_all_not_nonscalar_prim_or_rev_kernel_expression_t< T_y, T_loc, T_scale > * = nullptr>

return_type_t< T_y, T_loc, T_scale > stan::math::normal_cdf ( const T_y &  y, const T_loc &  mu, const T_scale &  sigma  )

inline

Calculates the normal cumulative distribution function for the given variate, location, and scale.

\(\Phi(x) = \frac{1}{\sqrt{2 \pi}} \int_{-\inf}^x e^{-t^2/2} dt\).

Template Parameters

T_y	type of y
T_loc	type of mean parameter
T_scale	type of standard deviation parameter

Parameters

y	A scalar variate.
mu	The location of the normal distribution.
sigma	The scale of the normal distribution

Returns

The unit normal cdf evaluated at the specified arguments.

Definition at line 38 of file normal_cdf.hpp.