ProbabilityProject
所属分类：数学计算
开发工具：Others
文件大小：0KB
下载次数：0
上传日期：2024-04-06 21:46:50
上 传 者：
sh-1993
说明： 该项目使用R进行交互式可视化，探索概率分布和中心极限定理等关键理论结果。它展示了分析技能，加深了他们对高级统计概念的理解。
(This project uses R for interactive visualization, exploring probability distributions and key theoretical results like the central limit theorem. It demonstrates analytical skills and deepens their understanding of advanced statistical concepts.)
# ProbabilityProject
This project aims to illustrate and analyze various probability distributions and fundamental statistical concepts using the R software. The main tasks include:
- Plotting the density functions of the following distributions and commenting on their shape:
- Bivariate Normal Distribution
- Chi-Square Distribution
- Student's t-Distribution
- F-Distribution
- Illustrating the Change of Variable Theorem using the t-Student and F distributions.
- Illustrating the convergence in distribution of sequences of random variables towards different limit distributions, such as:
- Uniform(0,1)
- Poisson
- Exponential
- Illustrating the weak law of large numbers using Bernoulli random variables.
- Illustrating the Central Limit Theorem for both continuous and discrete random variables.
The objective of this project is to consolidate the understanding of these theoretical concepts through practical implementation in R and graphical visualization of the results.
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