• Probability
  • Introduction
  • What is Probability
  • Axiomatic Probability
    • Sigma Algebra
    • Probability Space
    • Conditional Probability
  • Random Variable
    • Cumulative Distribution
    • Conditional Random Variable
    • Types of Random Variable
    • Discrete Random Variable
    • Continuous Random Variable
    • Expectation
    • Moment Generating Function
  • Example Random Variable
    • Example Discrete Random Variable
      • Bernoulli Random Variable
      • Binomial Random Variable
      • Poisson Random Variable
    • Example Continuous Random Variable
      • Uniform Random Variable
      • Normal Random Variable
      • Exponential Random Variable
      • Beta Random Variable
      • Gamma Random Variable
      • Chi-square Random Variable
    • Function of Random Variable
  • Joint Distribution
    • Marginal Distribution
    • Sums of Independent Random Variable
    • Covariance, Variance of Sums, and Correlations
    • Conditional Distribution
    • Conditional Expectation
    • Joint Moment Generating Function
    • Transformation of Variables
  • Statistics
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Example Random Variable

Some Example Distributions

  • Example Discrete Random Variable
    • Bernoulli Random Variable
    • Binomial Random Variable
    • Poisson Random Variable
  • Example Continuous Random Variable
    • Uniform Random Variable
    • Normal Random Variable
    • Exponential Random Variable
    • Beta Random Variable
    • Gamma Random Variable
    • Chi-square Random Variable
  • Function of Random Variable

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