List of probability topics


List of probability topics

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.

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
*Principle of maximum entropy
*Information entropy
*Urn problems
*Extractor
*Aleatoric, aleatoric music
*Free probability
*Exotic probability
*Schrödinger method
*Kolmogorov's zero-one law
*Hewitt-Savage zero-one law

Foundations of probability theory

*Probability theory
*Sample space
*Probability space
*Probability axioms
*Normalizing constant
*Event (probability theory)
**Complementary event
*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
*Belief propagation
*Transferable belief model
*Dempster-Shafer theory
*Possibility theory

Random variables

*Discrete random variable
**Probability mass function
*Constant random variable
*Expected value
**Jensen's inequality
*Variance
**Standard deviation
**Geometric standard deviation
*Moment (mathematics)
**Moment about the mean
**Standardized moment
***Skewness
***Kurtosis
***Locality
**Cumulant
**Factorial moment
**Moment problem
*Multivariate random variable
*Independent identically-distributed random variables
*Statistical independence
**Conditional independence
**Pairwise independence
**Covariance
**Covariance matrix
**De Finetti's theorem
*Correlation
**Uncorrelated
**Correlation function
*Canonical correlation
*Convergence of random variables
**Weak convergence of measures
*Markov's inequality
*Chebyshev's inequality
*Chernoff's inequality
*Laws of large numbers
**Asymptotic equipartition property
**Typical set
*Random field
*Borel-Cantelli lemma
*Wick product

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
**Bernoulli trial
*Beta distribution
*Binomial distribution
*Cantor distribution
*Cauchy distribution
**McCullagh's parametrization of the Cauchy distributions
*Chi-square distribution
*Continuity correction
*Copula (statistics)
*Coupon collector's problem
*Degenerate distribution
*Dirichlet distribution
*Erlang distribution
*Exponential distribution
**Exponential family
*F-distribution
*Fermi-Dirac statistics
*Fisher-Tippett distribution
*Gamma distribution
*Geometric distribution
*Graphical model
*Hypergeometric distribution
*Lévy distribution
*Levy skew alpha-stable distribution
*Maxwell-Boltzmann statistics
*Moment (mathematics)
**Moment about the mean
**Standardized moment
***Skewness
***Kurtosis
***Locality
**Cumulant
**Factorial moment
**Expected value
**Variance
**An inequality on location and scale parameters
**Taylor expansions for the moments of functions of random variables
*Multinomial distribution
*Negative binomial distribution
*Negative hypergeometric distribution
*Normal distribution, also called the Gaussian distribution
**Error function
**Multivariate normal distribution
**Matrix normal distribution
*Memorylessness
*Pareto distribution
*Phase-type distribution
*Poisson distribution
**Compound Poisson distribution
*Prior probability distribution
*stable distributions
*Student's t-distribution
*Total variation distance
*Triangular distribution
*Weibull distribution
*Wigner semicircle distribution
*Wishart distribution
*Zeta distribution
*Infinitely divisible distribution
*Indecomposable distribution

Properties of probability distributions

*Central limit theorem
**Illustration of the central limit theorem
**Concrete illustration of the central limit theorem
**Berry-Esséen theorem
*Martingale central limit theorem
*Characteristic function (probability theory)
*Edgeworth series
*Helly-Bray theorem
*Limit theorem
*Location parameter
*Maxwell's theorem
*Moment-generating function
*Negative probability
*Probability-generating function
*Vysochanskiï-Petunin inequality
*Mutual information
*Kullback-Leibler divergence
*Normally distributed and uncorrelated does not imply independent
*Le Cam's theorem
*Stability (probability)

Applied probability

*"Empirical findings"
**Benford's law
**Pareto principle
**Zipf's law

Stochastic processes

*Adapted process
*Bernoulli process
**Bernoulli scheme
*Branching process
*Brownian motion
**Geometric Brownian motion
**Wiener equation
*Chapman-Kolmogorov equation
*Chinese restaurant process
*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
**Continuous-time Markov process
**Examples of Markov chains
*Markov property
**Hidden Markov model
*Martingale
**Martingale representation theorem
**Azuma's inequality
**Wald's equation
*Poisson process
*Population process
*Process with independent increments
*Progressively measurable process
*Queueing theory
**Erlang unit
*Random walk
*Random walk Monte Carlo
*Skorokhod's embedding theorem
*Stationary process
*Stochastic calculus
**Itô calculus
**Malliavin calculus
**Stratonovich integral
*Time series analysis
**Autoregressive moving average model
**Autoregressive integrated moving average model
**Anomaly time series
*Wiener process

Geometric probability

*Buffon's needle
*Integral geometry
*Hadwiger's theorem

Statistics

*List of statistical topics
*Statistical sample
**Sampling (statistics)
**Data point
**Data set
**Statistical population
*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

*Linear regression
*Instrumental variable
*Statistical unit
*Statistical assembly
*Statistical model

Gambling

*Luck, chance
*Game of chance
*Odds
*Betting
**Spread betting
*Bookmaker
*Parimutuel betting
*Gambler's fallacy
*Inverse gambler's fallacy
*Parrondo's paradox
*Pascal's wager
*Gambler's ruin
*Poker probability
**Poker probability (Omaha)
**Poker probability (Texas hold 'em)
**Pot odds
*Roulette
**Martingale (betting system)
**The man who broke the bank at Monte Carlo
*Lottery
**Lottery machine
**Pachinko
*Coherence (philosophical gambling strategy)
*Coupon collector's problem

Coincidence

*Birthday paradox
*Index of coincidence
*Bible code
*Spurious relationship

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

*Risk
*Value at risk
*Market risk
*Risk-neutral measure
*Volatility
*Technical analysis

Physics

*Probability amplitude
*Statistical physics
*Boltzmann factor
*Feynman-Kac formula
*Fluctuation theorem
*Information entropy
*Vacuum expectation value
*Brownian ratchet
*Cosmic variance
*Negative probability

Percolation theory

Genetics

*Punnett square
*Hardy-Weinberg principle
*Ewens's sampling formula
*Ronald Fisher
*Population genetics

Historical

*"The Doctrine of Chances"


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • List of statistics topics — Please add any Wikipedia articles related to statistics that are not already on this list.The Related changes link in the margin of this page (below search) leads to a list of the most recent changes to the articles listed below. To see the most… …   Wikipedia

  • List of finance topics — Topics in finance include:Fundamental financial concepts* Finance an overview ** Arbitrage ** Capital (economics) ** Capital asset pricing model ** Cash flow ** Cash flow matching ** Debt *** Default *** Consumer debt *** Debt consolidation ***… …   Wikipedia

  • List of philosophy topics (I-Q) — II and thou I Ching I Ching I proposition I Thou I Thou relationshipIaIamblichus (philosopher)IbYahya Ibn Adi Yahya Ibn Adi Ibn al Arabi Muhyi al Din Ibn al Arabi Abu Bakr Ibn Bajja Abu Bakr Ibn Bājja Abu Bakr Muhammad Ibn Yahya Ibn as Say igh… …   Wikipedia

  • List of combinatorics topics — This is a list of combinatorics topics.A few decades ago it might have been said that combinatorics is little more than a way to classify poorly understood problems, and some standard remedies. Great progress has been made since 1960.This page is …   Wikipedia

  • List of philosophy topics (A-C) — 110th century philosophy 11th century philosophy 12th century philosophy 13th century philosophy 14th century philosophy 15th century philosophy 16th century philosophy 17th century philosophy 18th century philosophy 19th century philosophy220th… …   Wikipedia

  • List of physics topics M-Q — NOTOC A B C D E F G H I J K L M N O P Q R S T U V W X Y Z> M * M theory * M theory simplified MaMac* Mach, Ernst * Mach s principle Mag Mal* Magnetic confinement * Magnetic dipole * Magnetic field * Magnetic flux * Magnetic levitation * Magnetic… …   Wikipedia

  • List of philosophy topics (D-H) — DDaDai Zhen Pierre d Ailly Jean Le Rond d Alembert John Damascene Damascius John of Damascus Peter Damian Danish philosophy Dante Alighieri Arthur Danto Arthur C. Danto Arthur Coleman Danto dao Daodejing Daoism Daoist philosophy Charles Darwin… …   Wikipedia

  • List of circle topics — This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include metaphors like inner circle or circular reasoning in… …   Wikipedia

  • List of philosophy topics (R-Z) — RRaRabad Rabbinic law Rabbinic theology Francois Rabelais François Rabelais race racetrack paradox racism Gustav Radbruch Janet Radcliffe Richards Sarvepalli Radhakrishnan radical Aristotelianism radical behaviourism radical feminism radical… …   Wikipedia

  • List of psychology topics — This page aims to list all topics related to psychology. This is so that those interested in the subject can monitor changes to the pages by clicking on Related changes in the sidebar. It is also to see the gaps in Wikipedia s coverage of the… …   Wikipedia


Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.