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    std::binomial_distribution

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    C++
     
    Numerik-Bibliothek
    Gemeinsame mathematischen Funktionen
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    Komplexe Zahlen
    Numerische Arrays
    Pseudo-Zufallszahlen
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    Generic numeric operations
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    Engines and engine adaptors
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    mersenne_twister_engine(C++11)
    subtract_with_carry_engine(C++11)
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    Generators
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    Ausschüttungen
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    Distributions
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    Uniform distributions
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    uniform_int_distribution(C++11)
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    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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    Normalverteilungen
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    Normal distributions
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    rand
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    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==
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    definiert in Header <random>
    template<class IntType =int>
    class binomial_distribution;
    		(seit C++11)
    Erzeugt zufällige nicht-negative ganzzahlige Werte i, verteilt nach diskreten Wahrscheinlichkeitsfunktion:
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    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
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    Member type
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    		 Definition
    result_typeIntType
    param_type
    die Art des Parametersatzes, nicht näher bezeichnet
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    the type of the parameter set, unspecified
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    [Bearbeiten]Member-Funktionen

    		 erzeugt eine neue Verteilung
    (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
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    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
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    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
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    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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    Von „https://de.cppreference.com/mwiki/index.php?title=cpp/numeric/random/binomial_distribution&oldid=27457“
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