List of probability topics
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This is a list of probability topics, by Wikipedia page. It overlaps with the (alphabetical) list of statistical topics. There are also the list of probabilists and list of statisticians.
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General aspects
- Probability
- Randomness, Pseudorandomness, Quasirandom
- Randomization, hardware random number generator
- Random number generator
- Random sequence
- Coin flipping/tossing; checking if a coin is biased
- Uncertainty
- Statistical dispersion
- Observational error
- Average
- Probability interpretations
- Markovian
- Statistical regularity
- Central tendency
- Bean machine
- Relative frequency
- Frequency probability
- Maximum likelihood
- Bayesian probability
- Principle of indifference
- Cox's theorem
- Eclectic probability
- Principle of maximum entropy
- Information entropy
- Urn problems
- Extractor
- Aleatoric, aleatoric music
- Free probability
- Exotic probability
- Schrödinger method
Foundations of probability theory
- Probability theory
- Sample space
- Probability space
- Probability axioms
- Normalizing constant
- Event (probability theory)
- Elementary event
- Mutually exclusive
- Boole's inequality
- Probability density function
- Cumulative distribution function
- Law of total cumulance
- Law of total expectation
- Law of total probability
- Law of total variance
- Almost surely
- Cox's theorem
- Edwin Thompson Jaynes
- Bayesianism
- Prior probability
- Posterior probability
- Borel's paradox
- Bertrand's paradox
- Coherence (philosophical gambling strategy)
- Dutch book
- Algebra of random variables
Random variables
- Discrete random variable
- Constant random variable
- Expected value
- Variance
- Moment (mathematics)
- Multivariate random variable
- Independent identically-distributed random variables
- Statistical independence
- Correlation
- Canonical correlation
- Convergence of random variables
- Markov's inequality
- Chebyshev's inequality
- Chernoff's inequality
- Laws of large numbers
- Random field
- Borel-Cantelli lemma
Conditional probability
- Conditional expectation
- Conditional distribution
- Marginal distribution
- Bayes' theorem
- de Finetti's theorem
- Rule of succession
- Conditional independence
Probability distributions
- Bose-Einstein statistics
- Bernoulli distribution
- Beta distribution
- Binomial distribution
- Cantor distribution
- Cauchy distribution
- Chi-square distribution
- Continuity correction
- Copula (statistics)
- Degenerate distribution
- Erlang distribution
- Exponential distribution
- F-distribution
- Fermi-Dirac statistics
- Fisher-Tippett distribution
- Gamma distribution
- Geometric distribution
- Graphical model
- Levy skew alpha-stable distribution
- Maxwell-Boltzmann statistics
- Moment (mathematics)
- Multinomial distribution
- Negative binomial distribution
- Normal distribution, also called the Gaussian distribution
- Memorylessness
- Pareto distribution
- Poisson distribution
- Prior probability distribution
- Student's t-distribution
- Total variation distance
- Triangular distribution
- Weibull distribution
- Wigner semicircle distribution
- Wishart distribution
- Zeta distribution
- Infinite divisibility
Properties of probability distributions
- Central limit theorem
- Characteristic function
- Edgeworth series
- Helly-Bray theorem
- Location parameter
- Maxwell's theorem
- Moment-generating function
- Probability-generating function
- Vysochanskiï-Petunin inequality
- Mutual information
- Kullback-Leibler divergence
- Normally distributed and uncorrelated does not imply independent
Applied probability
- Empirical findings
Stochastic processes
- Bernoulli process
- Branching process
- Brownian motion
- Chapman-Kolmogorov equation
- Coupling (probability)
- Ergodic theory
- Galton-Watson process
- Gauss-Markov process
- Gaussian process
- Girsanov's theorem
- Itô's lemma
- Law of the iterated logarithm
- Lévy flight
- Lévy process
- Loop-erased random walk
- Markov chain
- Markov property
- Martingale
- Poisson process
- Population process
- Process with independent increments
- Queueing theory
- Random walk
- Random walk Monte Carlo
- Stationary process
- Stochastic calculus
- Time series analysis
- Wiener process
Geometric probability
Statistics
- List of statistical topics
- Statistical sample
- Statistical theory
- Statistical inference
- Null hypothesis
- Confidence interval
- Margin of error
- Interval estimation
- point estimation
- Estimator
- Bias (statistics)
- Gauss-Markov theorem
- Likelihood-ratio test
- Multivariate statistics
- Analysis of variance
- ANCOVA
- Bayesian inference
Applied statistics
Gambling
- Luck, chance
- Game of chance
- Odds
- Betting
- Bookmaker
- Parimutuel betting
- Gambler's fallacy
- Inverse gambler's fallacy
- Pascal's wager
- Gambler's ruin
- Poker probability
- Roulette
- Lottery
- Coherence (philosophical gambling strategy)
Coincidence
Algorithmics
- Probable prime
- Probabilistic algorithm = Randomised algorithm
- Monte Carlo method
- Las Vegas algorithm
- Probabilistic Turing machine
- Stochastic programming
- Probabilistically checkable proof
- Box-Muller transform
- Metropolis algorithm
- Gibbs sampling
- Inverse transform sampling method
Financial mathematics
Physics
- Probability amplitude
- Statistical physics
- Boltzmann factor
- Feynman-Kac formula
- Fluctuation theorem
- Information entropy
- Vacuum expectation value
- Brownian ratchet
- Cosmic variance
Percolation theory
Genetics
Historical
External links
- Model selection for probability problems (http://www.utdallas.edu/~golden/ANNTALKS/Feb21talk/sld001.htm)