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boost::random::binomial_distribution
// In header: <boost/random/binomial_distribution.hpp> template<typename IntType, typename RealType> class binomial_distribution { public: // types typedef ; typedef ; // member classes/structs/unions class param_type { public: // types typedef binomial_distribution ; // construct/copy/destruct ( = , = ); // public member functions () ; () ; // friend functions template<typename CharT, typename Traits> (, param_type &); template<typename CharT, typename Traits> (, param_type &); (param_type &, param_type &); (param_type &, param_type &); }; // construct/copy/destruct ( = , = ); (param_type &); // public member functions template<typename URNG> () ; template<typename URNG> (, param_type &) ; () ; () ; () ; () ; param_type () ; (param_type &); (); // friend functions template<typename CharT, typename Traits> (, binomial_distribution &); template<typename CharT, typename Traits> (, binomial_distribution &); (binomial_distribution &, binomial_distribution &); (binomial_distribution &, binomial_distribution &); };
The binomial distribution is an integer valued distribution with two parameters, t
and p
. The values of the distribution are within the range [0,t].
The distribution function is .
The algorithm used is the BTRD algorithm described in
"The generation of binomial random variates", Wolfgang Hormann, Journal of Statistical Computation and Simulation, Volume 46, Issue 1 & 2 April 1993 , pages 101 - 110
binomial_distribution
public
construct/copy/destruct( t = , p = );
Construct a
object. binomial_distribution
t
and p
are the parameters of the distribution.
Requires: t >=0 && 0 <= p <= 1
(param_type & param);
Construct an
object from the parameters. binomial_distribution
binomial_distribution
public member functionstemplate<typename URNG> ( urng) ;
Returns a random variate distributed according to the binomial distribution.
template<typename URNG> ( urng, param_type & param) ;
Returns a random variate distributed according to the binomial distribution with parameters specified by param
.
() ;
Returns the t
parameter of the distribution.
() ;
Returns the p
parameter of the distribution.
() ;
Returns the smallest value that the distribution can produce.
() ;
Returns the largest value that the distribution can produce.
param_type () ;
Returns the parameters of the distribution.
(param_type & param);
Sets parameters of the distribution.
();
Effects: Subsequent uses of the distribution do not depend on values produced by any engine prior to invoking reset.
binomial_distribution
friend functionstemplate<typename CharT, typename Traits> ( os, binomial_distribution & bd);
Writes the parameters of the distribution to a std::ostream
.
template<typename CharT, typename Traits> ( is, binomial_distribution & bd);
Reads the parameters of the distribution from a std::istream
.
(binomial_distribution & lhs, binomial_distribution & rhs);
Returns true if the two distributions will produce the same sequence of values, given equal generators.
(binomial_distribution & lhs, binomial_distribution & rhs);
Returns true if the two distributions could produce different sequences of values, given equal generators.