Notation in probability and statistics

Notation in probability
Probability theory and statistics have some commonly used conventions, in addition to standard mathematical notation and mathematical symbols.wikipedia
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List of mathematical symbols

Table of mathematical symbolsmathematical symbolsmathematical symbol
Probability theory and statistics have some commonly used conventions, in addition to standard mathematical notation and mathematical symbols.
Intersection (set theory)List of mathematical symbols by subjectNumberNotation in probability and statisticsMathematical operators and symbols in Unicode

Mathematical notation

notationmathematical formulaealgebraic notation
Probability theory and statistics have some commonly used conventions, in addition to standard mathematical notation and mathematical symbols.
Penrose graphical notationCountingAmbiguityHistory of mathematicsLeonhard Euler

Glossary of probability and statistics

StatisticsNotation in probability and statisticsGlossary of experimental designList of statistics articlesGlossary of areas of mathematics

Probability theory

theory of probabilityprobabilityprobability theorist
Probability theory and statistics have some commonly used conventions, in addition to standard mathematical notation and mathematical symbols.
ProbabilityProbability interpretationsProbability spaceSample spaceEvent (probability theory)

Statistics

statisticalstatistical analysisstatistician
Probability theory and statistics have some commonly used conventions, in addition to standard mathematical notation and mathematical symbols.
Survey methodologyStatistical populationSample (statistics)Standard deviationMean

Conditional probability

conditional probabilitiesconditionalconditioned
Independence (probability theory)Bayes' theoremConditional probability tableEvent (probability theory)Probability

Random variable

random variablesrandom variationrandom
RandomnessProbability theoryProbability density functionRandom elementExpected value

Letter case

minusculemajusculelowercase
Alphabetical orderEnglish alphabetSmall capsSet (mathematics)Greek alphabet

Sampling (statistics)

samplingrandom samplesample
StatisticsAcceptance samplingSurvey samplingQuality assuranceSample (statistics)

Joint probability distribution

joint distributionjoint probabilitymultivariate distribution
Random variableCumulative distribution functionConditional probability distributionProbability distributionChain rule (probability)

Logical disjunction

ORdisjunctionlogical or
Exclusive orExistential quantificationLogical connectiveUnion (set theory)Distributive property

Sigma-algebra

σ-algebraσ-algebrasigma algebra
Conditional expectationMeasurable spaceField of setsProbability theoryLebesgue integration

Calligraphy

calligraphercalligraphiccalligraphers
ParchmentWedding invitationJapanese calligraphyFour Treasures of the StudyCursive script (East Asia)

Probability density function

probability densitydensity functiondensity
Random variableCumulative distribution functionProbability distributionIntegralProbability mass function

Probability mass function

mass functionprobability massmass
Mode (statistics)Probability density functionProbability spaceProbability distributionCumulative distribution function

Survival function

reliability functionsurvivor functionsurvival
Survival analysisKaplan–Meier estimatorCumulative distribution functionFailure rateMean time between failures

Overline

overbarbarcombining overline
Vinculum (symbol)Greek numeralsDe Morgan's lawsMacron (diacritic)Underscore

Normal distribution

normally distributedGaussian distributionnormal
Central limit theoremStudent's t-distributionStandard normal deviateLogistic distributionMode (statistics)

Expected value

expectationexpectedmean
Law of large numbersRandom variableProbability distributionVon Neumann–Morgenstern utility theoremProblem of points

Covariance

covariantcovariationcovary
VarianceUncorrelatedness (probability theory)Covariance and correlationCovariance matrixPearson correlation coefficient

Estimator

estimatorsestimateestimates
Estimation theoryEstimandStatisticInterval estimationPoint estimation

Arithmetic mean

meanaveragearithmetic
MeanAverageGeometric meanHarmonic meanCentral tendency

Sample (statistics)

samplesamplesstatistical sample
StatisticsStatisticStatistical populationSimple random sampleData set

Sample mean and covariance

sample meansample covariancesample covariance matrix
StatisticBias of an estimatorEstimation of covariance matricesNormal distributionCovariance matrix

Variance

sample variancepopulation variancevariability
Random variableAlgorithms for calculating varianceStatisticsCovarianceNormal distribution