probability MOC

Basic Probability

• event
• probability (chance)
• axioms of probability
• sample space
• outcome
• independence

Random Variables

• random variables
• expectation
• variance and standard deviation
• sum of random variables

Functions on Probability Distributions

• PDF and PMF
• CDF
• quantile function

Joint and Marginal Probability

See joint probability and marginal probability

• covariance and correlation

Conditional Probability

See conditional probability

• Bayes’ theorem
• law of total probability

Distributions

Discrete

• Uniform (Discrete)
• Binomial
  • Multinomial
• Poisson
• Geometric

Continuous

• Uniform (Continuous)
• Normal (also called Gaussian)
  • Log-normal
• Student’s T-Distribution
• Exponential

Parameter Estimation

• sampling (signal processing)
• estimator
• bias of an estimator
• central limit theorem
• confidence interval
• law of large numbers

Fallacies

• probability fallacies

Related

• combinatorics
• statistics