binomial_lpmf() [1/3]

template<bool propto, typename T_n_cl , typename T_N_cl , typename T_prob_cl , require_all_prim_or_rev_kernel_expression_t< T_n_cl, T_N_cl, T_prob_cl > * = nullptr, require_any_nonscalar_prim_or_rev_kernel_expression_t< T_n_cl, T_N_cl, T_prob_cl > * = nullptr>

return_type_t< T_prob_cl > stan::math::binomial_lpmf	(	const T_n_cl &	n,
		const T_N_cl	N,
		const T_prob_cl &	theta
	)

Returns the log PMF for the binomial distribution evaluated at the specified success, population size, and chance of success.

If given containers of matching lengths, returns the log sum of probabilities.

Template Parameters

T_n_cl	type of successes parameter
T_N_cl	type of population size parameter
T_prob_cl	type of chance of success parameter

Parameters

n	successes parameter
N	population size parameter
theta	chance of success parameter

Returns

log sum of probabilities

Exceptions

std::domain_error	if n is negative or greater than N
std::domain_error	if N is negative
std::domain_error	if theta is not a valid probability
std::invalid_argument	if container sizes mismatch

Definition at line 36 of file binomial_lpmf.hpp.