Statistics 简明教程

Statistics - Weak Law of Large Numbers

大数定律弱形式是概率论中的一个结果，也被称为伯努利定理。设 P 是一个独立同分布随机变量序列，每个变量都有均值和标准差。

The weak law of large numbers is a result in probability theory also known as Bernoulli’s theorem. Let P be a sequence of independent and identically distributed random variables, each having a mean and standard deviation.

Formula

其中——

Where −

  1. ${n}$ = Number of samples

  2. ${X}$ = Sample value

  3. ${\mu}$ = Sample mean

Example

Problem Statement:

Problem Statement:

掷六面骰子大量次。计算其值的样本均值。

A six sided die is rolled large number of times. Figure the sample mean of their values.

Solution:

Solution:

样本均值计算

Sample Mean Calculation