Examples and illustration of basic statistic concepts, probability distribution, Monte Carlo simulation, preprocessing and visualization techniques, and statistical testing.
| Concept |
Notebook |
| Auto-correlation |
Link |
| Entropy and Impurity |
Link |
| Law of Large Number |
Link |
| Central Limit Theorem |
Link |
| Confidence Interval |
Link |
| Gaussian Kernel |
Link |
| Kernel Density Estimation |
Link |
| Linear Regression |
Link |
| Monte Carlo Integration |
Link |
| Sum of Random Variables |
Link |
| Taylor Expansion |
Link |
| Universality of Uniform |
Link |
| Name |
Notebook |
| Common distributions |
Link |
| Gaussian error function |
Link |
| Integrating Gaussian |
Link |
| Markove Inequality |
Link |
| Name |
Notebook |
| Smoothing time series |
Link |
| Exponential smoothing time series |
Link |
| Name |
Comments |
Notebook |
| Matplotlib basics |
scatter, line chart, histogram, pie chart, subplots |
Link |
| Seaborn basics |
scatter, violin-plot, pairwise correlation, heatmap |
Link |
| Simulation Task |
Notebook |
| Monty-Hall Problem: should I switch? |
Link |
| Reservior Sampling |
Link |
| Using 7-sided die to roll 1~10 with equal probability |
Link |
| Using biased coin to similate unbiased coin |
Link |
| Finding square root using Babylonian method |
Link |
| Gender ratio of boy and girl |
Link |
| Probability of same birthdays |
Link |
| Combining normal distribution |
Link |
| Conditional expectation |
Link |
| Picking adjectives |
Link |
| Recapture wild animals |
Link |
| Probability of forming triangle |
Link |
| Expected number of coin flips to get two heads |
Link |
| Meaning of z-score |
Link |
| Name |
Notebook |
| t-test basic example (left, right, two-tail) |
Link |
| t-test two-tailed (finches example) |
Link |
| t-test paired sample one-tailed |
Link |
| t-test paired sample two-tailed |
Link |
| t-test two sample two-tailed |
Link |
| Chi-square goodness of fit test |
Link |
| Chi-square independence test |
Link |
| Analysis of variance (ANOVA) |
Link |