使用概率分布生成范围内的随机整数 [英] Generating random integers within range with a probability distribution

问题描述

我有一个问题，我想使用概率分布生成1到5之间的一组随机整数值。

I have a problem where I want to generate a set of random integer values between 1 and 5 inclusive using a probability distribution.

Poisson和Inverse Gamma是两个分布，显示了我所发现的特征（多数均值，更低的数字）。

Poisson and Inverse Gamma are two distributions that show the characteristics I am after (majority at mean, less higher numbers) that I have found.

我正在考虑使用 Apache Commons Math 但我我不知道如何使用可用的发行版生成我想要的数字。

I am looking at using Apache Commons Math but I wasn't sure how to generate the numbers I wanted using the distributions available.

推荐答案

从您的问题描述中，它听起来像你实际上想要一个离散概率分布生成的样本，你可以使用 EnumeratedIntegerDistribution 。为每个整数选择合适的概率，可能类似以下内容满足您的需求：

From your problem description, it sounds like you actually want a sample generated from a discrete probability distribution, and you can use EnumeratedIntegerDistribution for this purpose. Choose appropriate probabilities for each of your integers, maybe something like the following would meet your needs:

int[] numsToGenerate           = new int[]    { 1,   2,    3,   4,    5   };
double[] discreteProbabilities = new double[] { 0.1, 0.25, 0.3, 0.25, 0.1 };

EnumeratedIntegerDistribution distribution = 
    new EnumeratedIntegerDistribution(numsToGenerate, discreteProbabilities);

int numSamples = 100;
int[] samples = distribution.sample(numSamples);

只需将 discreteProbabilities 值调整为任何你要求。

Just tweak the discreteProbabilities values to whatever you require.

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