cauchy_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::cauchy_lpdf ( const T_y_cl &  y, const T_loc_cl &  mu, const T_scale_cl &  sigma  )

inline

The log of the Cauchy density for the specified scalar(s) given the specified location parameter(s) and scale parameter(s).

y, mu, or sigma can each either be scalar a vector. 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/mu/sigma triple.

Template Parameters

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

Parameters

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

Returns

The log of the product of densities.

Definition at line 38 of file cauchy_lpdf.hpp.