Probability-Statistics

MSc Probability and Statistics Course (12 Lessons) - Finance Applications

Information

Property	Value
Language	TeX
Stars	0
Forks	0
Watchers	0
Open Issues	1
License	MIT License
Created	2025-12-13
Last Updated	2026-03-30
Last Push	2026-03-30
Contributors	1
Default Branch	main
Visibility	private

Datasets

This repository includes 105 dataset(s):

Dataset	Format	Size

| questions.json | .json | 9.71 KB |

| questions_de.json | .json | 10.83 KB |

| questions.json | .json | 9.35 KB |

| questions_de.json | .json | 10.09 KB |

| questions.json | .json | 8.24 KB |

| questions.json | .json | 8.96 KB |

| questions.json | .json | 8.37 KB |

| questions.json | .json | 8.24 KB |

| questions.json | .json | 8.91 KB |

| questions.json | .json | 8.08 KB |

| questions.json | .json | 9.53 KB |

| questions.json | .json | 8.75 KB |

| questions.json | .json | 8.86 KB |

| questions.json | .json | 8.88 KB |

| datasets | | 0.0 KB |

| README.md | .md | 3.59 KB |

| agricultural_experiment.csv | .csv | 3.81 KB |

| clinical_trial.csv | .csv | 2.18 KB |

| drug_dosage_study.csv | .csv | 3.42 KB |

| education_intervention.csv | .csv | 0.6 KB |

| employee_satisfaction.csv | .csv | 3.41 KB |

| environmental_study.csv | .csv | 6.36 KB |

| manufacturing_quality.csv | .csv | 0.64 KB |

| marketing_campaigns.csv | .csv | 4.03 KB |

| medical_treatment.csv | .csv | 2.32 KB |

| reaction_time_study.csv | .csv | 2.99 KB |

| website_testing.csv | .csv | 71.91 KB |

| questions.json | .json | 5.27 KB |

| questions.json | .json | 5.4 KB |

| questions.json | .json | 5.47 KB |

| questions.json | .json | 5.36 KB |

| questions.json | .json | 2.8 KB |

| questions.json | .json | 2.73 KB |

| questions.json | .json | 8.97 KB |

| questions.json | .json | 12.19 KB |

| questions.json | .json | 5.68 KB |

| questions.json | .json | 6.71 KB |

| questions.json | .json | 5.83 KB |

| questions.json | .json | 6.31 KB |

| questions.json | .json | 5.34 KB |

| questions.json | .json | 7.38 KB |

| questions.json | .json | 6.97 KB |

| questions.json | .json | 7.66 KB |

| questions.json | .json | 7.95 KB |

| questions.json | .json | 7.16 KB |

| questions.json | .json | 7.3 KB |

| charts.json | .json | 67.92 KB |

| data | | 0.0 KB |

| .gitkeep | | 0.1 KB |

| AGENTS.md | .md | 4.07 KB |

| advanced_module_proposals_20251222_2259.json | .json | 74.16 KB |

| advanced_module_proposals_20251230_1236.json | .json | 0.75 KB |

| comprehensive_review_20251221_2019.json | .json | 177.86 KB |

| crossref_audit.json | .json | 6.41 KB |

| deep_review_20251221_2018.json | .json | 172.69 KB |

| deep_review_20251230_0722.json | .json | 172.49 KB |

| deep_review_20251230_0948.json | .json | 172.49 KB |

| fixes_L01_20251223.json | .json | 1.7 KB |

| fixes_L02_20251223.json | .json | 2.42 KB |

| fixes_L03_20251223.json | .json | 1.85 KB |

| fixes_L04_20251223.json | .json | 1.13 KB |

| fixes_L05_20251223.json | .json | 1.88 KB |

| fixes_L06_20251223.json | .json | 2.01 KB |

| fixes_L07_20251223.json | .json | 1.53 KB |

| fixes_L08_20251223.json | .json | 1.2 KB |

| fixes_L09_20251223.json | .json | 1.4 KB |

| fixes_L10_20251223.json | .json | 1.6 KB |

| fixes_L11_20251223.json | .json | 1.18 KB |

| fixes_L12_20251223.json | .json | 1.63 KB |

| notation_report_20251222_2257.json | .json | 8.15 KB |

| pedagogy_A0_20251224.json | .json | 6.54 KB |

| pedagogy_A1_20251224.json | .json | 8.49 KB |

| pedagogy_A2_20251224.json | .json | 9.61 KB |

| pedagogy_A3_20251224.json | .json | 9.74 KB |

| pedagogy_L01_20251224.json | .json | 6.86 KB |

| pedagogy_L02_20251224.json | .json | 15.34 KB |

| pedagogy_L02_20251225.json | .json | 3.07 KB |

| pedagogy_L03_20251224.json | .json | 14.38 KB |

| pedagogy_L03_20251225.json | .json | 2.78 KB |

| pedagogy_L04_20251224.json | .json | 8.93 KB |

| pedagogy_L04_20251225.json | .json | 2.26 KB |

| pedagogy_L05_20251224.json | .json | 6.23 KB |

| pedagogy_L05_20251225.json | .json | 2.56 KB |

| pedagogy_L06_20251224.json | .json | 6.64 KB |

| pedagogy_L06_20251225.json | .json | 2.65 KB |

| pedagogy_L07_20251224.json | .json | 5.66 KB |

| pedagogy_L07_20251225.json | .json | 3.28 KB |

| pedagogy_L08_20251224.json | .json | 4.8 KB |

| pedagogy_L08_20251225.json | .json | 3.04 KB |

| pedagogy_L09_20251224.json | .json | 5.85 KB |

| pedagogy_L09_20251225.json | .json | 3.41 KB |

| pedagogy_L10_20251224.json | .json | 5.06 KB |

| pedagogy_L10_20251225.json | .json | 5.38 KB |

| pedagogy_L11_20251224.json | .json | 6.35 KB |

| pedagogy_L11_20251225.json | .json | 4.91 KB |

| pedagogy_L12_20251224.json | .json | 6.51 KB |

| pedagogy_L12_20251225.json | .json | 5.2 KB |

| quiz_audit.json | .json | 5.56 KB |

| slide_review_20251221_2015.json | .json | 163.84 KB |

| ultra_deep_content_review_20251223_1430.json | .json | 30.73 KB |

| ultra_deep_review_20251222_2302.json | .json | 280.97 KB |

| ultra_deep_review_20251223_0656.json | .json | 280.97 KB |

| ultra_deep_review_20251230_1236.json | .json | 250.33 KB |

| all_terms.json | .json | 1.28 KB |

| layout_config_template.json | .json | 17.07 KB |

Reproducibility

This repository includes reproducibility tools:

Python requirements.txt

Status

Issues: Enabled
Wiki: Disabled
Pages: Enabled

README

Probability and Statistics

MSc-level introductory course in Probability and Statistics with finance applications.

Course Overview

This course covers fundamental concepts in probability theory and statistical inference, designed for students with diverse backgrounds. All concepts are explained from first principles with applications to finance and business.

Course Structure

Lesson	Topic
Part I: Foundations
01	Introduction to Probability & Statistics
02	Descriptive Statistics
Part II: Probability Theory
03	Set Theory & Probability Axioms
04	Conditional Probability & Bayes
05	Discrete Random Variables
06	Continuous Random Variables
07	Joint Distributions
08	Expectation & Moments
Part III: Statistical Inference
09	Sampling & Central Limit Theorem
10	Point Estimation
11	Interval Estimation
12	Hypothesis Testing

Technical Details

Format: Beamer slides (Madrid theme)
Charts: Standalone Python scripts generating PDF outputs
Examples: Finance and business applications throughout

Folder Structure

Statistics/
├── 01_introduction/
│   ├── 01_introduction.tex
│   ├── 01_chart_name/
│   │   ├── chart.py
│   │   └── chart.pdf
│   └── ...
├── 02_descriptive_statistics/
│   └── ...
└── ... (12 lesson folders)

Requirements

Python 3.8+ with matplotlib, numpy, scipy, seaborn
LaTeX distribution with Beamer support

License

Educational use only.

Description

MSc Probability and Statistics Course (12 Lessons) - Finance Applications

Installation

git clone https://github.com/Digital-AI-Finance/Probability-Statistics.git
cd Probability-Statistics
pip install -r requirements.txt

Usage

See the repository contents for usage examples.

(c) Joerg Osterrieder 2025