Computer Labs and Interactive Pages

This page collects all interactive HTML pages and Jupyter notebook labs for MATH 5010: Foundations of Statistical Theory and Probability.

Quick Start for Students

Use the Interactive HTML pages for visual exploration before or after lecture.
Use the Open in Google Colab links to run the Python labs in the browser.
Use the Local notebook links if you want to download the .ipynb file and run it in JupyterLab, VS Code, or another local Python environment.

Interactive HTML Pages

Section	Topic	Interactive HTML
Section 1	Basic Probability	Open interactive page
Section 2	Random Variables and Distributions	Open interactive page
Section 3	Joint and Conditional Distributions	Open interactive page
Section 4	Expectation, Moments, and MGF	Open interactive page
Section 5	Transformations	Open interactive page
Section 6	Conditional Distribution and Expectation	Open interactive page
Section 7	Inequalities and Identities	Open interactive page
Section 8	Random Samples and Order Statistics	Open interactive page
Section 9	Convergence Theory	Open interactive page
Section 10	Monte Carlo Sampling	Open interactive page
Section 11	Sufficient Statistics	Open interactive page
Sections 12–13	Point Estimation	Open interactive page
Sections 14–15	Hypothesis Tests	Open interactive page
Sections 16–17	Interval Estimation	Open interactive page
Sections 18–19	ANOVA	Open interactive page
Section 20	Bayesian Inference	Open interactive page

Computer Labs in Google Colab

Section	Topic	Open in Colab	Local notebook
Section 1	Basic Probability	Open in Google Colab	Download notebook
Section 2	Random Variables and Distributions	Open in Google Colab	Download notebook
Section 3	Joint and Conditional Probability	Open in Google Colab	Download notebook
Section 4	Expectations, Moments, and MGF	Open in Google Colab	Download notebook
Section 5	Transformations	Open in Google Colab	Download notebook
Section 6	Conditional Expectations	Open in Google Colab	Download notebook
Section 7	Inequalities and Identities	Open in Google Colab	Download notebook
Section 8	Sampling and Order Statistics	Open in Google Colab	Download notebook
Section 9	Convergence Theory	Open in Google Colab	Download notebook
Section 10	Monte Carlo Sampling	Open in Google Colab	Download notebook
Section 11	Sufficient Statistics	Open in Google Colab	Download notebook
Sections 12–13	Point Estimation	Open in Google Colab	Download notebook
Sections 14–15	Hypothesis Tests and Interval Estimation	Open in Google Colab	Download notebook
Sections 16–17	ANOVA and Bayesian Statistics	Open in Google Colab	Download notebook
Sections 18–19	Bayesian Inference II and ANOVA II	Open in Google Colab	Download notebook
Section 20	Bayesian Inference	Open in Google Colab	Download notebook

Suggested Weekly Workflow

For each section, a good learning sequence is:

Read the corresponding book chapter.
Open the interactive HTML page and experiment with the sliders, plots, or simulations.
Open the corresponding lab in Google Colab.
Run all cells once.
Modify parameters and rerun the code.
Write a short interpretation of the output in statistical language.

# Computer Labs and Interactive Pages {.unnumbered} This page collects all interactive HTML pages and Jupyter notebook labs for **MATH 5010: Foundations of Statistical Theory and Probability**. ## Quick Start for Students 1. Use the **Interactive HTML** pages for visual exploration before or after lecture. 2. Use the **Open in Google Colab** links to run the Python labs in the browser. 3. Use the **Local notebook** links if you want to download the `.ipynb` file and run it in JupyterLab, VS Code, or another local Python environment. ## Interactive HTML Pages | Section | Topic | Interactive HTML | |---|---|---| | Section 1 | Basic Probability | [Open interactive page](htmls/section1_probability_interactive.html) | | Section 2 | Random Variables and Distributions | [Open interactive page](htmls/section2_random_variables_intertributions_interactive.html) | | Section 3 | Joint and Conditional Distributions | [Open interactive page](htmls/section3_joint_conditional_interactive.html) | | Section 4 | Expectation, Moments, and MGF | [Open interactive page](htmls/section4_expectation_mgf_interactive.html) | | Section 5 | Transformations | [Open interactive page](htmls/section5_transformations_interactive.html) | | Section 6 | Conditional Distribution and Expectation | [Open interactive page](htmls/section6_conditional_distribution_interactive.html) | | Section 7 | Inequalities and Identities | [Open interactive page](htmls/section7_inequalities_interactive.html) | | Section 8 | Random Samples and Order Statistics | [Open interactive page](htmls/section8_random_samples_interactive.html) | | Section 9 | Convergence Theory | [Open interactive page](htmls/section9_convergence_interactive.html) | | Section 10 | Monte Carlo Sampling | [Open interactive page](htmls/section10_monte_carlo_interactive.html) | | Section 11 | Sufficient Statistics | [Open interactive page](htmls/section11_sufficient_statistics_interactive.html) | | Sections 12--13 | Point Estimation | [Open interactive page](htmls/sections12_13_point_estimation_interactive.html) | | Sections 14--15 | Hypothesis Tests | [Open interactive page](htmls/sections14_15_hypothesis_tests_interactive.html) | | Sections 16--17 | Interval Estimation | [Open interactive page](htmls/sections16_17_interval_estimations_interactive.html) | | Sections 18--19 | ANOVA | [Open interactive page](htmls/sections18_19_anova_interactive.html) | | Section 20 | Bayesian Inference | [Open interactive page](htmls/section20_bayesian_inference_interactive.html) | ## Computer Labs in Google Colab | Section | Topic | Open in Colab | Local notebook | |---|---|---|---| | Section 1 | Basic Probability | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section1_basic_probability_full_solutions.ipynb) | [Download notebook](labs/lab_section1_basic_probability_full_solutions.ipynb) | | Section 2 | Random Variables and Distributions | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section2_random_variables_distributions_full_solutions.ipynb) | [Download notebook](labs/lab_section2_random_variables_distributions_full_solutions.ipynb) | | Section 3 | Joint and Conditional Probability | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section3_joint_conditional_probability_full_solutions.ipynb) | [Download notebook](labs/lab_section3_joint_conditional_probability_full_solutions.ipynb) | | Section 4 | Expectations, Moments, and MGF | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section4_expectations_moments_mgf_full_solutions_executed.ipynb) | [Download notebook](labs/lab_section4_expectations_moments_mgf_full_solutions_executed.ipynb) | | Section 5 | Transformations | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section5_transformations_full_solutions_executed.ipynb) | [Download notebook](labs/lab_section5_transformations_full_solutions_executed.ipynb) | | Section 6 | Conditional Expectations | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section6_conditional_expectations_full_solutions.ipynb) | [Download notebook](labs/lab_section6_conditional_expectations_full_solutions.ipynb) | | Section 7 | Inequalities and Identities | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section7_inequalities_identities_full_solutions.ipynb) | [Download notebook](labs/lab_section7_inequalities_identities_full_solutions.ipynb) | | Section 8 | Sampling and Order Statistics | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section8_sampling_order_statistics_full_solutions.ipynb) | [Download notebook](labs/lab_section8_sampling_order_statistics_full_solutions.ipynb) | | Section 9 | Convergence Theory | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section9_convergence_theory_full_solutions.ipynb) | [Download notebook](labs/lab_section9_convergence_theory_full_solutions.ipynb) | | Section 10 | Monte Carlo Sampling | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/lab_section10_monte_carlo_sampling_full_solutions.ipynb) | [Download notebook](labs/lab_section10_monte_carlo_sampling_full_solutions.ipynb) | | Section 11 | Sufficient Statistics | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/MATH5010_Lab11_Sufficient_Statistics_Full_Solutions.ipynb) | [Download notebook](labs/MATH5010_Lab11_Sufficient_Statistics_Full_Solutions.ipynb) | | Sections 12--13 | Point Estimation | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/MATH5010_Lab12_13_Point_Estimation_Full_Solutions.ipynb) | [Download notebook](labs/MATH5010_Lab12_13_Point_Estimation_Full_Solutions.ipynb) | | Sections 14--15 | Hypothesis Tests and Interval Estimation | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/MATH5010_Lab14_15_Hypothesis_Tests_and_Interval_Estimation_Full_Solutions.ipynb) | [Download notebook](labs/MATH5010_Lab14_15_Hypothesis_Tests_and_Interval_Estimation_Full_Solutions.ipynb) | | Sections 16--17 | ANOVA and Bayesian Statistics | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/MATH5010_Lab16_17_ANOVA_and_Bayesian_Statistics_Full_Solutions.ipynb) | [Download notebook](labs/MATH5010_Lab16_17_ANOVA_and_Bayesian_Statistics_Full_Solutions.ipynb) | | Sections 18--19 | Bayesian Inference II and ANOVA II | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/MATH5010_Lab18_19_Bayesian_Inference_II_and_ANOVA_II_Full_Solutions.ipynb) | [Download notebook](labs/MATH5010_Lab18_19_Bayesian_Inference_II_and_ANOVA_II_Full_Solutions.ipynb) | | Section 20 | Bayesian Inference | [Open in Google Colab](https://colab.research.google.com/github/wanghemath/Book-ProbabilityStatisticalTheory/blob/main/labs/MATH5010_Lab20_Bayesian_Inference_Full_Solutions.ipynb) | [Download notebook](labs/MATH5010_Lab20_Bayesian_Inference_Full_Solutions.ipynb) | ## Suggested Weekly Workflow For each section, a good learning sequence is: 1. Read the corresponding book chapter. 2. Open the interactive HTML page and experiment with the sliders, plots, or simulations. 3. Open the corresponding lab in Google Colab. 4. Run all cells once. 5. Modify parameters and rerun the code. 6. Write a short interpretation of the output in statistical language.