1 #ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOGIT_LPMF_HPP 2 #define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOGIT_LPMF_HPP 25 #include <boost/random/binomial_distribution.hpp> 26 #include <boost/random/variate_generator.hpp> 46 template <
bool propto,
53 const T_prob& alpha) {
57 static const char*
function(
"binomial_logit_lpmf");
64 T_partials_return logp = 0;
69 "Successes variable", n,
70 "Population size parameter", N,
71 "Probability parameter", alpha);
84 for (
size_t i = 0; i <
size; ++i)
89 log_inv_logit_alpha(
length(alpha));
90 for (
size_t i = 0; i <
length(alpha); ++i)
94 log_inv_logit_neg_alpha(
length(alpha));
95 for (
size_t i = 0; i <
length(alpha); ++i)
98 for (
size_t i = 0; i <
size; ++i)
99 logp += n_vec[i] * log_inv_logit_alpha[i]
100 + (N_vec[i] - n_vec[i]) * log_inv_logit_neg_alpha[i];
103 T_partials_return temp1 = 0;
104 T_partials_return temp2 = 0;
105 for (
size_t i = 0; i <
size; ++i) {
107 temp2 += N_vec[i] - n_vec[i];
110 operands_and_partials.
d_x1[0]
116 for (
size_t i = 0; i <
size; ++i)
117 operands_and_partials.
d_x1[i]
123 return operands_and_partials.
value(logp);
126 template <
typename T_n,
133 const T_prob& alpha) {
134 return binomial_logit_lpmf<false>(n, N, alpha);
void check_finite(const char *function, const char *name, const T_y &y)
Check if y is finite.
fvar< T > binomial_coefficient_log(const fvar< T > &x1, const fvar< T > &x2)
void check_bounded(const char *function, const char *name, const T_y &y, const T_low &low, const T_high &high)
Check if the value is between the low and high values, inclusively.
T value_of(const fvar< T > &v)
Return the value of the specified variable.
T_return_type value(double value)
Returns a T_return_type with the value specified with the partial derivatves.
scalar_seq_view provides a uniform sequence-like wrapper around either a scalar or a sequence of scal...
fvar< T > inv_logit(const fvar< T > &x)
Returns the inverse logit function applied to the argument.
size_t length(const std::vector< T > &x)
Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...
void check_nonnegative(const char *function, const char *name, const T_y &y)
Check if y is non-negative.
boost::math::tools::promote_args< typename scalar_type< T1 >::type, typename scalar_type< T2 >::type, typename scalar_type< T3 >::type, typename scalar_type< T4 >::type, typename scalar_type< T5 >::type, typename scalar_type< T6 >::type >::type type
Metaprogram to determine if a type has a base scalar type that can be assigned to type double...
This class builds partial derivatives with respect to a set of operands.
return_type< T_prob >::type binomial_logit_lpmf(const T_n &n, const T_N &N, const T_prob &alpha)
Binomial log PMF in logit parametrization.
size_t max_size(const T1 &x1, const T2 &x2)
VectorBuilder allocates type T1 values to be used as intermediate values.
int size(const std::vector< T > &x)
Return the size of the specified standard vector.
void check_consistent_sizes(const char *function, const char *name1, const T1 &x1, const char *name2, const T2 &x2)
Check if the dimension of x1 is consistent with x2.
fvar< T > log_inv_logit(const fvar< T > &x)
boost::math::tools::promote_args< typename partials_type< typename scalar_type< T1 >::type >::type, typename partials_type< typename scalar_type< T2 >::type >::type, typename partials_type< typename scalar_type< T3 >::type >::type, typename partials_type< typename scalar_type< T4 >::type >::type, typename partials_type< typename scalar_type< T5 >::type >::type, typename partials_type< typename scalar_type< T6 >::type >::type >::type type
VectorView< T_return_type, false, true > d_x1