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std::binomial_distribution

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< cpp‎ | numeric‎ | random

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C++
 
Bibliothèque Numerics
Fonctions mathématiques courantes
Virgule flottante environnement
Nombres complexes
Tableaux numériques
La génération de nombres pseudo-aléatoires
Moment de la compilation arithmétique rationnelle (C++11)
Génériques des opérations numériques
Original:
Generic numeric operations
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iota (C++11)
accumulate
inner_product
adjacent_difference
partial_sum
 
La génération de nombres pseudo-aléatoires
Les moteurs et les adaptateurs de moteur
Original:
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)
Générateurs
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Generators
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random_device (C++11)
Les distributions
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Distributions
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Distributions uniformes
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Uniform distributions
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uniform_int_distribution (C++11)
uniform_real_distribution (C++11)
generate_canonical (C++11)
Distributions de Bernoulli
Original:
Bernoulli distributions
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bernoulli_distribution (C++11)
binomial_distribution (C++11)
negative_binomial_distribution (C++11)
geometric_distribution (C++11)
Distributions de Poisson
Original:
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)
Les distributions normales
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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)
Distributions d'échantillonnage
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Sampling distributions
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discrete_distribution (C++11)
piecewise_constant_distribution (C++11)
piecewise_linear_distribution (C++11)
Séquences de semences
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Seed Sequences
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seed_seq (C++11)
Bibliothèque C
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C library
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rand
srand
RAND_MAX
 
std::binomial_distribution
Les fonctions membres
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Member functions
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binomial_distribution::binomial_distribution
binomial_distribution::reset
Génération
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Generation
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binomial_distribution::operator()
Caractéristiques
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Characteristics
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binomial_distribution::p
binomial_distribution::t
binomial_distribution::param
binomial_distribution::min
binomial_distribution::max
Tiers fonctions
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Non-member functions
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operator==
operator!=
operator<<
operator>>
 
Déclaré dans l'en-tête <random>
template< class IntType = int >
class binomial_distribution;
 (depuis C++11)
Produit aléatoire non négative i valeurs entières, réparties selon la fonction de probabilité discrète:
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
La valeur obtenue est le nombre de succès dans une séquence de t oui / non expériences, dont chacune aboutit à p probabilité .
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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Sommaire

[modifier] Types de membres

Type du membre Définition
result_type IntType
param_type
le type du jeu de paramètres, sans précision
Original:
the type of the parameter set, unspecified
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[modifier] Fonctions membres
construit distribution
Original:
constructs new distribution
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(fonction membre publique) [edit]
réinitialise l'état interne de la distribution
Original:
resets the internal state of the distribution
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(fonction membre publique) [edit]
Génération
Original:
Generation
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génère le nombre aléatoire suivant dans la distribution
Original:
generates the next random number in the distribution
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(fonction membre publique) [edit]
Caractéristiques
Original:
Characteristics
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renvoie le paramètre t de distribution (nombre d'essais)
Original:
returns the t distribution parameter (number of trials)
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(fonction membre publique) [edit]
renvoie le paramètre p de distribution (probabilité de true génératrice d'essai)
Original:
returns the p distribution parameter (probability of a trial generating true)
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(fonction membre publique) [edit]
obtient ou définit l'objet de paramètre de distribution
Original:
gets or sets the distribution parameter object
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(fonction membre publique) [edit]
renvoie la valeur minimale potentiellement générées
Original:
returns the minimum potentially generated value
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(fonction membre publique) [edit]
renvoie la valeur maximale potentiellement générées
Original:
returns the maximum potentially generated value
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(fonction membre publique) [edit]

[modifier] Fonctions annexes
compare deux objets de distribution
Original:
compares two distribution objects
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(fonction) [edit]
effectue flux d'entrée et de sortie sur la distribution de nombre pseudo-aléatoire
Original:
performs stream input and output on pseudo-random number distribution
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(fonction) [edit]

[modifier] Exemple

parcelle de la loi binomiale avec une probabilité de réussite de chaque essai exactement 0,5, illustrant la relation avec le triangle de Pascal (les probabilités que aucun, 1, 2, 3, ou tous les quatre des 4 essais seront couronnés de succès dans ce cas sont 01:04 : 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';
}

Résultat : 

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

[modifier] Liens externes

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