1 #ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CCDF_LOG_HPP
2 #define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CCDF_LOG_HPP
4 #include <boost/random/binomial_distribution.hpp>
5 #include <boost/random/variate_generator.hpp>
29 template <
typename T_n,
typename T_N,
typename T_prob>
30 typename return_type<T_prob>::type
32 static const char*
function(
"stan::math::binomial_ccdf_log");
47 T_partials_return P(0.0);
52 check_bounded(
function,
"Probability parameter", theta, 0.0, 1.0);
54 "Successes variable", n,
55 "Population size parameter", N,
56 "Probability parameter", theta);
80 return operands_and_partials.
to_var(0.0, theta);
83 for (
size_t i = 0; i <
size; i++) {
90 const T_partials_return n_dbl =
value_of(n_vec[i]);
91 const T_partials_return N_dbl =
value_of(N_vec[i]);
92 const T_partials_return theta_dbl =
value_of(theta_vec[i]);
93 const T_partials_return betafunc =
exp(
lbeta(N_dbl-n_dbl, n_dbl+1));
94 const T_partials_return Pi = 1.0 -
inc_beta(N_dbl - n_dbl, n_dbl + 1,
100 operands_and_partials.
d_x1[i] +=
pow(theta_dbl, n_dbl)
101 *
pow(1-theta_dbl, N_dbl-n_dbl-1) / betafunc / Pi;
104 return operands_and_partials.
to_var(P, theta);
T value_of(const fvar< T > &v)
Return the value of the specified variable.
fvar< T > lbeta(const fvar< T > &x1, const fvar< T > &x2)
fvar< T > log(const fvar< T > &x)
size_t length(const std::vector< T > &x)
bool check_bounded(const char *function, const char *name, const T_y &y, const T_low &low, const T_high &high)
Return true if the value is between the low and high values, inclusively.
T_return_type to_var(T_partials_return logp, const T1 &x1=0, const T2 &x2=0, const T3 &x3=0, const T4 &x4=0, const T5 &x5=0, const T6 &x6=0)
Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...
VectorView< T_partials_return, is_vector< T1 >::value, is_constant_struct< T1 >::value > d_x1
Metaprogram to determine if a type has a base scalar type that can be assigned to type double...
fvar< T > inc_beta(const fvar< T > &a, const fvar< T > &b, const fvar< T > &x)
fvar< T > exp(const fvar< T > &x)
A variable implementation that stores operands and derivatives with respect to the variable...
size_t max_size(const T1 &x1, const T2 &x2)
bool check_finite(const char *function, const char *name, const T_y &y)
Return true if y is finite.
int size(const std::vector< T > &x)
Return the size of the specified standard vector.
bool check_consistent_sizes(const char *function, const char *name1, const T1 &x1, const char *name2, const T2 &x2)
Return true if the dimension of x1 is consistent with x2.
fvar< T > pow(const fvar< T > &x1, const fvar< T > &x2)
bool check_nonnegative(const char *function, const char *name, const T_y &y)
Return true if y is non-negative.
VectorView is a template metaprogram that takes its argument and allows it to be used like a vector...
return_type< T_prob >::type binomial_ccdf_log(const T_n &n, const T_N &N, const T_prob &theta)
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
double negative_infinity()
Return negative infinity.