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

Coming Soon

More statistics topics are being developed to expand your learning journey

Coming Soon
Descriptive Statistics
Learn measures of central tendency, variability, and data visualization techniques
Coming Soon
Probability Theory
Master probability distributions, random variables, and probability calculations
Coming Soon
Inferential Statistics
Learn hypothesis testing, confidence intervals, and statistical inference methods

Learning Paths

Follow structured paths designed to build your statistical knowledge progressively

Beginner Path
Start your statistics journey from the foundations
Estimated time: 15-20 hours

Path includes:

  1. 1Probability Theory
  2. 2Mathematical Statistics
  3. 3Descriptive Statistics
Intermediate Path
Build upon fundamental concepts with stochastic processes
Estimated time: 25-30 hours

Path includes:

  1. 1Probability Theory
  2. 2Stochastic Processes
  3. 3Mathematical Statistics
Advanced Path
Master complex statistical methods and stochastic analysis
Estimated time: 35-40 hours

Path includes:

  1. 1Mathematical Statistics
  2. 2Stochastic Processes
  3. 3Advanced Process Theory

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.