beta_proportion_lpdf() [2/3]

template<bool propto, typename T_y , typename T_loc , typename T_prec , require_all_not_nonscalar_prim_or_rev_kernel_expression_t< T_y, T_loc, T_prec > * = nullptr>

return_type_t< T_y, T_loc, T_prec > stan::math::beta_proportion_lpdf	(	const T_y &	y,
		const T_loc &	mu,
		const T_prec &	kappa
	)

The log of the beta density for specified y, location, and precision: beta_proportion_lpdf(y | mu, kappa) = beta_lpdf(y | mu * kappa, (1 - mu) * kappa).

Any arguments other than scalars must be containers of the same size. With non-scalar arguments, the return is the sum of the log pdfs with scalars broadcast as necessary.

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

Prior location, mu, must be contained in (0, 1). Prior precision must be positive.

Template Parameters

T_y	type of scalar outcome
T_loc	type of prior location
T_prec	type of prior precision

Parameters

y	(Sequence of) scalar(s) between zero and one
mu	(Sequence of) location parameter(s)
kappa	(Sequence of) precision parameter(s)

Returns

The log of the product of densities.

Definition at line 51 of file beta_proportion_lpdf.hpp.