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Mathematics

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Probability - Statistics - Information Theory - Econometrics

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Probability

Probability Terminology

Created on Sep 13, 2021 · Last Modified on Jun 03, 2026

  • domain space or sample space or possibility space
    • is a set of all possible outcomes
    • denoted as 𝛺
  • empty event
    • denoted as ∅
  • event
    • is a set of outcomes
    • is a subset of sample space
  • event space - is a set of events
  • 𝐏 - is the probability measure
  • 𝐏(𝛢) - is the probability of the event 𝛢 happening
  • probability space (𝛺,𝐹,𝑃)

Other

  • Bayes’ Rule/Theorem/Law (Prior - Posterior - Distribution - Likelihood - Probability of Evidence)
  • Central Limit Theorem (CLT)
  • Degrees of Freedom (DoF - df)
  • Exchangeability/Exchangeable (Finite Exchangeability - Infinite Exchangeability)
  • Gambler’s Fallacy - Monte Carlo Fallacy - Fallacy of the Maturity of Chances
  • Independent and Identically Distributed (IID)
  • Law of Total Probability
  • Odds Ratio
  • Principle of Indifference - Principle of Insufficient Reasoning
  • Probability (Dependence/Dependent - Independence/Independent)
  • Probability (Product Rule - Chain Rule)
  • Probability Spaces (Sample Space - Event Space - Probability Measure)
  • Random Variables (RV)
  • Reference Class Problem
  • Regression to the Mean
  • The Law of Large Numbers