- Descriptive Statistics
- Correlation
- ++Pearson Correlation (皮爾森相關係數)++
- Spearman’s Rank Correlation Coefficient (皮斯爾曼等級相關係數)
- Kendall’s Rank Correlation Coefficient (肯德爾等級相關係數)
- Cramér’s V Coefficient (克雷莫 V 係數)
- Estimation and Testing of Correlation Coefficients (相關係數的估計和檢定)
- Autocorrelation Coefficient (自我相關係數)
- Probability
- Events and Probability
- Principle of Inclusion-Exclusion
- Random Variables
- Discrete random variables: Bernoulli distribution, Binomial distribution
- Continuous random variables: Uniform distribution, Normal distribution, Student’s t distribution, F distribution
- ++Probability Density Function (PDF)++
- ++Cumulative Distribution Function (CDF)++
- Expectation and Variance
- Independent Events and Independent Random Variables
- ++Law of Large Numbers++
- ++Central Limit Theorem++
- Chebyshev’s Inequality (柴比雪夫不等式)
- Hoeffding’s inequality (霍夫丁不等式)
- Probability Distributions
- Bernoulli Distribution, Binomial Distribution
- Geometric Distribution, Negative Binomial Distribution
- Poisson distribution (卜瓦松分布)
- Hypergeometric Distribution (超幾何分布)
- Uniform Distribution, Exponential Distribution
- ++Normal Distribution++
- Weibull Distribution, Pareto Distribution, Lognormal Distribution
- Multinomial Distribution
- Multivariate Normal Distribution
- Distribution family tree (visual)
- Random number generation (RNG)
- Pseudo-random numbers (Python random)
- Inverse transform sampling (sampling from a distribution via CDF)
- Regression Analysis
- Time Series Analysis
- Moving Average
- Autoregression
- ARMA/ARIMA Model
- Seasonality Features