MathIsimple

Statistics Learning Center

Master statistical concepts through rigorous theoretical foundations, data analysis techniques, and real-world applications

Theory-Based LearningSelf-Paced ProgressAll Experience Levels

Statistics Learning Topics

Choose a topic to begin your journey into statistical analysis and data science

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Beginner to Intermediate
Probability Theory
Master the foundations of probability theory: random experiments, events, conditional probability, independence, and fundamental probability models
15 lessons
10-15 hours

What you'll learn:

  • Random Experiments & Events
  • Classical, Statistical & Geometric Probability
  • Conditional Probability & Bayes' Theorem
  • Independence & Bernoulli Trials
  • Complete probability foundation system
  • Essential prerequisite for mathematical statistics
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Beginner to Advanced
Mathematical Statistics
Systematically learn the core theories of mathematical statistics: four core topics including fundamentals, distribution families, point estimation, and sufficient statistics
38 lessons
24-32 hours

What you'll learn:

  • Mathematical Statistics Fundamentals
  • Common Distribution Families & Properties
  • Point Estimation & Cramér-Rao Inequality
  • Sufficient & Complete Statistics
  • Complete statistical inference theory system
  • Systematic learning path from basic to advanced
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Intermediate to Advanced
Stochastic Processes
Master stochastic processes through rigorous probability theory foundations, random process analysis, and mathematical modeling
20 lessons
15-20 hours

What you'll learn:

  • Probability Theory Prerequisites
  • Random Variables & Distributions
  • Mathematical Expectation & Variance
  • Limit Theorems & Convergence
  • Markov Chains & Random Walks
  • Advanced Stochastic Process Theory
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Intermediate to Advanced
Time Series Analysis
Learn time series decomposition, trend, seasonality, and forecasting with practical examples.
18 lessons
12-18 hours

What you'll learn:

  • Deterministic vs Stochastic Decomposition
  • Trend and Seasonal Modeling
  • Additive and Multiplicative Models
  • Stationarity and Differencing
  • ARIMA / Box-Jenkins Overview
  • Practical Forecasting Examples
Interactive Calculators
Try our statistical calculators for hands-on practice.

Use calculators to validate concepts and compute examples from lessons.

Open Calculators
Practice Problems
Apply what you've learned with curated practice questions and instant feedback.

Practice sets aligned to each learning topic to reinforce understanding.

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Formulas Reference
Review essential formulas that appear throughout the course.

Concise formula references to support lesson exercises and calculators.

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New to Statistics?

Start with the "Mathematical Statistics" topic to build a solid theoretical foundation. This topic contains four core modules covering important concepts like populations and samples, distribution families, point estimation, and sufficient statistics.