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std::poisson_distribution

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C++
 
ニューメリックスライブラリ
一般的な数学関数
浮動小数点環境
複素数
数値配列
擬似乱数生成
コンパイル時有理数演算 (C++11)
汎用の数値演算
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Generic numeric operations
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iota(C++11)
accumulate
inner_product
adjacent_difference
partial_sum
 
擬似乱数生成
エンジンとエンジンアダプタ
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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)
ジェネレータ
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Generators
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random_device(C++11)
ディストリビューション
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Distributions
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一様分布
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Uniform distributions
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uniform_int_distribution(C++11)
uniform_real_distribution(C++11)
generate_canonical(C++11)
ベルヌーイ分布
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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)
ポアソン分布
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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)
正規分布
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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)
サンプリング分布
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Sampling distributions
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discrete_distribution(C++11)
piecewise_constant_distribution(C++11)
piecewise_linear_distribution(C++11)
シードシーケンス
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Seed Sequences
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seed_seq(C++11)
Cライブラリ
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C library
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rand
srand
RAND_MAX
 
std::poisson_distribution
メンバ関数
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Member functions
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poisson_distribution::poisson_distribution
poisson_distribution::reset
世代
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Generation
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poisson_distribution::operator()
特性
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Characteristics
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poisson_distribution::mean
poisson_distribution::param
poisson_distribution::min
poisson_distribution::max
非メンバ関数
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Non-member functions
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operator==
operator!=
operator<<
operator>>
 
Defined in header <random>
template< class IntType = int >
class poisson_distribution;
 (C + + 11以来)
ランダムな正の整数値i、離散確率関数に従って分布を生成します
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Produces random non-negative integer values i, distributed according to discrete probability function:
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P(i|μ) =
e-μ
·μi
i!

The value obtained is the probability of exactly i occurrences of a random event if the expected, mean number of its occurrence under the same conditions (on the same time/space interval) is μ.

目次

[編集] メンバータイプ

メンバー·タイプ
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Member type
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 Definition
result_type IntType
param_type
不特定のパラメータセットのタイプ
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the type of the parameter set, unspecified
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[編集] メンバ関数
新しいディストリビューションを構築します
Original:
constructs new distribution
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(パブリックメンバ関数) [edit]
リセットさ分布の内部状態
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resets the internal state of the distribution
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(パブリックメンバ関数) [edit]
世代
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Generation
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ディストリビューションの次の乱数を生成します
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generates the next random number in the distribution
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(パブリックメンバ関数) [edit]
特性
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Characteristics
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 returns the mean distribution parameter (mean number of occurrences of the event)
(パブリックメンバ関数) [edit]
分布パラメータオブジェクトを取得または設定します
Original:
gets or sets the distribution parameter object
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(パブリックメンバ関数) [edit]
最小潜在的に生成された値を返します
Original:
returns the minimum potentially generated value
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(パブリックメンバ関数) [edit]
最大潜在的に生成された値を返します
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returns the maximum potentially generated value
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(パブリックメンバ関数) [edit]

[編集] 非メンバ関数
2つのディストリビューションオブジェクトを比較します
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compares two distribution objects
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(機能) [edit]
擬似乱数分布にストリーム入出力を行います
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performs stream input and output on pseudo-random number distribution
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(機能) [edit]

[編集] 例

#include <iostream>
#include <iomanip>
#include <string>
#include <map>
#include <random>
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
 
    // if an event occurs 4 times a minute on average
    // how often is it that it occurs n times in one minute?
    std::poisson_distribution<> d(4);
 
    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 
12 
13

[編集] 外部リンク

Weisstein, Eric W. "Poisson Distribution."MathWorldのから - WolframのWebリソース.
Original:
Weisstein, Eric W. "Poisson Distribution." From MathWorld--A Wolfram Web Resource.
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