"""
中心极限定理指的是给定一个任意分布的总体。
我每次从这些总体中随机抽取 n 个抽样，一共抽 m 次。
然后把这 m 组抽样分别求出平均值/和。 这些平均值/和的分布接近正态分布。
"""
import numpy as np
import matplotlib.pyplot as plt
# 1 给定任意分布的总体
population = np.random.randint(0, 100, 100000)
# 2 随机抽取m个样本，抽取n次
def sample_choice(population, sample_num, sample_size):
samples = []
for i in range(sample_num):
sample = []
for j in range(sample_size):
unit = np.random.choice(population)
sample.append(unit)
samples.append(sample)
return samples
# 3 计算样本均值
def samples_mean(samples):
sample_mean = []
for i in range(len(samples)):
sample_mean.append(np.mean(samples[i]))
return sample_mean
# 4 中心定理结果
def central_limit_theorem():
# 1.任意分布总体
population = np.random.randint(0, 100, 100000)
# 2.抽样
samples = sample_choice(population, 1000, 50)
# 3.求样本均值
sample_mean = samples_mean(samples)
plt.hist(sample_mean, bins=30)
plt.show()
if __name__ == "__main__":
central_limit_theorem()
