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std::binomial_distribution

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Numerik-Bibliothek
Gemeinsame mathematischen Funktionen
Floating-Point-Umgebung
Komplexe Zahlen
Numerische Arrays
Pseudo-Zufallszahlen
Compile-time rationale Arithmetik (C++11)
Generische numerische Operationen
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Generic numeric operations
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iota(C++11)
accumulate
inner_product
adjacent_difference
partial_sum
 
Pseudo-Zufallszahlen
Motoren und Adaptern
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Engines and engine adaptors
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linear_congruential_engine(C++11)
mersenne_twister_engine(C++11)
subtract_with_carry_engine(C++11)
discard_block_engine(C++11)
independent_bits_engine(C++11)
shuffle_order_engine(C++11)
Generatoren
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Generators
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random_device(C++11)
Ausschüttungen
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Distributions
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Uniform-Distributionen
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Uniform distributions
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uniform_int_distribution(C++11)
uniform_real_distribution(C++11)
generate_canonical(C++11)
Bernoulli-Distributionen
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Bernoulli distributions
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bernoulli_distribution(C++11)
binomial_distribution(C++11)
negative_binomial_distribution(C++11)
geometric_distribution(C++11)
Poisson-Verteilungen
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Poisson distributions
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poisson_distribution(C++11)
exponential_distribution(C++11)
gamma_distribution(C++11)
weibull_distribution(C++11)
extreme_value_distribution(C++11)
Normalverteilungen
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Normal distributions
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normal_distribution(C++11)
lognormal_distribution(C++11)
chi_squared_distribution(C++11)
cauchy_distribution(C++11)
fisher_f_distribution(C++11)
student_t_distribution(C++11)
Sampling-Distributionen
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Sampling distributions
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discrete_distribution(C++11)
piecewise_constant_distribution(C++11)
piecewise_linear_distribution(C++11)
Seed-Sequenzen
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Seed Sequences
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seed_seq(C++11)
C-Bibliothek
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C library
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rand
srand
RAND_MAX
 
std::binomial_distribution
Member-Funktionen
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Member functions
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binomial_distribution::binomial_distribution
binomial_distribution::reset
Generation
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Generation
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binomial_distribution::operator()
Merkmale
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Characteristics
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binomial_distribution::p
binomial_distribution::t
binomial_distribution::param
binomial_distribution::min
binomial_distribution::max
Non-Member-Funktionen
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Non-member functions
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operator==
operator!=
operator<<
operator>>
 
Defined in header <random>
template< class IntType = int >
class binomial_distribution;
(seit C++11)
Erzeugt zufällige nicht-negative ganzzahlige Werte i, verteilt nach diskreten Wahrscheinlichkeitsfunktion:
Original:
Produces random non-negative integer values i, distributed according to discrete probability function:
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P(i|t,p) =

t
p


· pi
· (1 − p)t−i
Der erhaltene Wert ist die Anzahl der Erfolge in einer Sequenz von t Ja / Nein-Experimenten, die jeweils mit einer Wahrscheinlichkeit p gelingt .
Original:
The value obtained is the number of successes in a sequence of t yes/no experiments, each of which succeeds with probability p.
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Inhaltsverzeichnis

[Bearbeiten] Mitglied Typen

Mitglied Typ
Original:
Member type
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Definition
result_type IntType
param_type
die Art des Parametersatzes, nicht näher bezeichnet
Original:
the type of the parameter set, unspecified
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[Bearbeiten] Member-Funktionen

baut neue Verteilung
Original:
constructs new distribution
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(öffentliche Elementfunktion) [edit]
setzt den internen Zustand der Verteilung
Original:
resets the internal state of the distribution
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(öffentliche Elementfunktion) [edit]
Generation
Original:
Generation
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erzeugt das nächste Zufallszahl in der Verteilung
Original:
generates the next random number in the distribution
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(öffentliche Elementfunktion) [edit]
Merkmale
Original:
Characteristics
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gibt das t Verteilung Parameter (Anzahl der Versuche)
Original:
returns the t distribution parameter (number of trials)
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(öffentliche Elementfunktion) [edit]
gibt das p Verteilungsparameter (Wahrscheinlichkeit einer Studie generierenden true)
Original:
returns the p distribution parameter (probability of a trial generating true)
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(öffentliche Elementfunktion) [edit]
ab oder legt die Verteilung Parameter-Objekt
Original:
gets or sets the distribution parameter object
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(öffentliche Elementfunktion) [edit]
gibt das Minimum potentiell generierten Wert
Original:
returns the minimum potentially generated value
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(öffentliche Elementfunktion) [edit]
gibt die maximale potentiell generierten Wert
Original:
returns the maximum potentially generated value
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(öffentliche Elementfunktion) [edit]

[Bearbeiten] Non-Member-Funktionen

vergleicht zwei Verteilung Objekte
Original:
compares two distribution objects
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(Funktion) [edit]
Stream führt Eingabe und Ausgabe auf Pseudozufallszahl Verteilung
Original:
performs stream input and output on pseudo-random number distribution
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(Funktion) [edit]

[Bearbeiten] Beispiel

Grundstück von Binomialverteilung mit Wahrscheinlichkeit des Erfolgs der einzelnen Studien genau 0,5, welches die Beziehung mit dem pascal Dreieck (die Wahrscheinlichkeit, dass keine, 1, 2, 3, oder alle vier der 4 Studien werden in diesem Fall erfolgreich sind 1:4 : 06.04.01)
Original:
plot of binomial distribution with probability of success of each trial exactly 0.5, illustrating the relationship with the pascal triangle (the probabilities that none, 1, 2, 3, or all four of the 4 trials will be successful in this case are 1:4:6:4:1)
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#include <iostream>
#include <iomanip>
#include <string>
#include <map>
#include <random>
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
    // perform 4 trials, each succeeds 1 in 2 times
    std::binomial_distribution<> d(4, 0.5);
 
    std::map<int, int> hist;
    for(int n=0; n<10000; ++n)
        ++hist[d(gen)];
    for(auto p : hist)
        std::cout << p.first <<
                ' ' << std::string(p.second/100, '*') << '\n';
}

Output:

0 ******
1 ************************
2 *************************************
3 *************************
4 ******

[Bearbeiten] Externer Links

Weisstein, Eric W. "Binomial Distribution." Von MathWorld - A Wolfram Web Resource .
Original:
Weisstein, Eric W. "Binomial Distribution." From MathWorld--A Wolfram Web Resource.
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