摘要
研究了球内两个随机点之间距离的概率分布.利用几何概率推导出了概率分布函数、概率密度函数和数学期望的解析表达式.基于R语言,对单位球内两随机点距离进行了随机模拟,模拟结果与理论分析结果互为印证.
The probability distribution of the distance between two independent points randomly and uniformly chosen in a circle is studied.The explicit expressions of distribution function,probability density function and mathematical expectation are determined by geometric probability.Based on R language,the distance between random points in a unit circle is simulated,the results of simulation and theoretical analysis are mutually verified.
作者
魏立力
李晶晶
WEI Lili;LI Jingjing(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)
出处
《大学数学》
2022年第1期101-106,共6页
College Mathematics
基金
宁夏自然科学基金项目(2021AAC03039)。
关键词
几何概率
分布函数
随机模拟
geometric probability
distribution function
random simulation
