normal_lpdf() [1/3]

template<bool propto, typename T_y_cl , typename T_loc_cl , typename T_scale_cl , require_all_prim_or_rev_kernel_expression_t< T_y_cl, T_loc_cl, T_scale_cl > * = nullptr, require_any_not_stan_scalar_t< T_y_cl, T_loc_cl, T_scale_cl > * = nullptr>

return_type_t< T_y_cl, T_loc_cl, T_scale_cl > stan::math::normal_lpdf ( const T_y_cl &  y, const T_loc_cl &  mu, const T_scale_cl &  sigma  )

inline

The log of the normal density for the specified scalar(s) given the specified mean(s) and deviation(s).

y, mu, or sigma can each be either a scalar or a vector matrix_cl. Any vector inputs must be the same length.

The result log probability is defined to be the sum of the log probabilities for each observation/mean/deviation triple.

Template Parameters

T_y_cl	type of scalar
T_loc_cl	type of location parameter
T_scale_cl	type of scale parameter

Parameters

y	(Sequence of) scalar(s).
mu	(Sequence of) location parameter(s) for the normal distribution.
sigma	(Sequence of) scale parameters for the normal distribution.

Returns

The log of the product of the densities.

Exceptions

std::domain_error

if the scale is not positive.

Definition at line 40 of file normal_lpdf.hpp.