neg_binomial_lpmf() [1/3]

template<bool propto, typename T_n_cl , typename T_shape_cl , typename T_inv_scale_cl , require_all_prim_or_rev_kernel_expression_t< T_n_cl, T_shape_cl, T_inv_scale_cl > * = nullptr, require_any_not_stan_scalar_t< T_n_cl, T_shape_cl, T_inv_scale_cl > * = nullptr>

return_type_t< T_n_cl, T_shape_cl, T_inv_scale_cl > stan::math::neg_binomial_lpmf ( const T_n_cl &  n, const T_shape_cl &  alpha, const T_inv_scale_cl &  beta  )

inline

The log of the negative binomial density for the specified scalars given the specified mean(s) and deviation(s).

n, alpha, or beta 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_n_cl	type of scalar
T_shape_cl	type of location parameter
T_inv_scale_cl	type of precision parameter

Parameters

n	(Sequence of) scalar(s).
alpha	(Sequence of) location parameter(s)
beta	(Sequence of) precision parameters

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 neg_binomial_lpmf.hpp.