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std::negative_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::negative_binomial_distribution
Member-Funktionen
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Member functions
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negative_binomial_distribution::negative_binomial_distribution
negative_binomial_distribution::reset
Generation
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Generation
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negative_binomial_distribution::operator()
Merkmale
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Characteristics
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negative_binomial_distribution::p
negative_binomial_distribution::k
negative_binomial_distribution::param
negative_binomial_distribution::min
negative_binomial_distribution::max
Non-Member-Funktionen
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Non-member functions
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operator==
operator!=
operator<<
operator>>
 
definiert in Header <random>
template< class IntType = int >
class negative_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|k,p) =

k + i − 1
i


· pk
· (1 − p)i
Der Wert stellt die Anzahl der Ausfälle in einer Reihe von unabhängigen Ja / Nein-Studien (jeweils gelingt es mit einer Wahrscheinlichkeit von p), vor genau k Erfolge auftreten .
Original:
The value represents the number of failures in a series of independent yes/no trials (each succeeds with probability p), before exactly k successes occur.
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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

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
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 k Verteilung Parameter (Anzahl der Studie Ausfälle)
Original:
returns the k distribution parameter (number of trial failures)
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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

#include <iostream>
#include <iomanip>
#include <string>
#include <map>
#include <random>
 
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
    // Pat goes door-to-door selling cookies
    // At each house, there's a 75% chance that she sells one box
    // how many times will she be turned away before selling 5 boxes?
    std::negative_binomial_distribution<> d(5, 0.75);
 
    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 ******
5 ***
6 *
7 
8 
9 
10 
11

[Bearbeiten] Externer Links

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