1 #ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LPMF_HPP 2 #define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LPMF_HPP 17 #include <boost/random/bernoulli_distribution.hpp> 18 #include <boost/random/variate_generator.hpp> 36 template <
bool propto,
typename T_n,
typename T_prob>
39 const T_prob& theta) {
40 static const char*
function(
"bernoulli_lpmf");
50 T_partials_return logp(0.0);
54 check_bounded(
function,
"Probability parameter", theta, 0.0, 1.0);
57 "Probability parameter", theta);
69 for (
size_t n = 0; n < N; n++) {
72 const T_partials_return theta_dbl =
value_of(theta_vec[0]);
75 logp += N *
log(theta_dbl);
77 operands_and_partials.
d_x1[0] += N / theta_dbl;
78 }
else if (sum == 0) {
79 logp += N *
log1m(theta_dbl);
81 operands_and_partials.
d_x1[0] += N / (theta_dbl - 1);
83 const T_partials_return log_theta =
log(theta_dbl);
84 const T_partials_return log1m_theta =
log1m(theta_dbl);
86 logp += sum * log_theta;
87 logp += (N -
sum) * log1m_theta;
90 operands_and_partials.
d_x1[0] += sum / theta_dbl;
91 operands_and_partials.
d_x1[0] += (N -
sum) / (theta_dbl - 1);
95 for (
size_t n = 0; n < N; n++) {
96 const int n_int =
value_of(n_vec[n]);
97 const T_partials_return theta_dbl =
value_of(theta_vec[n]);
100 logp +=
log(theta_dbl);
102 logp +=
log1m(theta_dbl);
106 operands_and_partials.
d_x1[n] += 1.0 / theta_dbl;
108 operands_and_partials.
d_x1[n] += 1.0 / (theta_dbl - 1);
112 return operands_and_partials.
value(logp);
115 template <
typename T_y,
typename T_prob>
119 const T_prob& theta) {
120 return bernoulli_lpmf<false>(n, theta);
fvar< T > sum(const std::vector< fvar< T > > &m)
Return the sum of the entries of the specified standard vector.
void check_finite(const char *function, const char *name, const T_y &y)
Check if y is finite.
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.
fvar< T > log(const fvar< T > &x)
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...
size_t length(const std::vector< T > &x)
Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...
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...
return_type< T_prob >::type bernoulli_lpmf(const T_n &n, const T_prob &theta)
Returns the log PMF of the Bernoulli distribution.
This class builds partial derivatives with respect to a set of operands.
size_t max_size(const T1 &x1, const T2 &x2)
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.
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
fvar< T > log1m(const fvar< T > &x)
VectorView< T_return_type, false, true > d_x1