skew_normal_lpdf() [1/3]

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

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

inline

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

y, mu, sigma, or alpha 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 quadruple.

Template Parameters

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

Parameters

y	(Sequence of) scalar(s).
mu	(Sequence of) location parameter(s)
sigma	(Sequence of) scale parameter(s)
alpha	(Sequence of) shape parameter(s)

Returns

The log of the product of the densities.

Exceptions

std::domain_error

if the scale is not positive.

Definition at line 42 of file skew_normal_lpdf.hpp.