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Random variable

A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events. The term 'random variable' in its mathematical definition refers to neither randomness nor variability but instead is a mathematical function in which

Definition, Examples & Functions of random variables

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Overview

Definition

Distribution functions

Examples

Measure-theoretic definition

Moments

Functions of random variables

Some properties

Equivalence of random variables

Convergence

Advanced semantic analysis

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Map overview Semantic statistics

Random variable

Nodes149
Edges148
Triples164
Avg. degree1.99
Density0.013423
Components1

How this topic connects Entity context

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Random variable

Top relations

related to Continuous random variable · 21
Random variable → An, Any, CDF, Continuous, East, For, Formally, However, In, Instead, North, PDF, Pr, South, Southeast, The, Then, There, This, We
related to External links · 11
Random variable → Basic Probability Topics, EMS Press, Encyclopedia, Introduction, Mathematics, Moshe, PDF, Queueing Theory, Random, Stochastic Teletraffic Models, Zukerman
related to Practical difference between notions of equivalence · 10
Random variable → AD, BD, CD, Essentially, For, Similarly, Since, Suppose, Then, Therefore
related to Discrete random variable · 9
Random variable → An, Another, Associated, Consider, For, It, Mathematically, PMF, PMFs
related to Distribution functions · 7
Random variable → How, If, Omega, Recording, Such, The, This
related to Equality in distribution · 7
Random variable → However, If, IID, Laplace, This, To, Two
related to Measure-theoretic definition · 7
Random variable → Banach, Because, Borel, Continuous, Normally, Tarski, The
related to Mixed type · 7
Random variable → An, CDF, CDFs, If, It, Other, There
related to Real-valued random variables · 7
Random variable → Borel, For, Here, In, Omega, Recall, This
related to Extensions · 6
Random variable → Boolean, However, In, One, The, Thus

Important terminology Word statistics

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Important terminology

random displaystyle variable probability distribution variables function space functions values continuous numbers real set real-valued omega discrete example possible value

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Random variableis asubset of the real numbers.Informally0.90text
Random variableis aprobability distribution that allows the computation of the probability that the height is in any subset of possible values0.90text
Random variableis arandom variable whose cumulative distribution function is continuous everywhere0.90text
Random variableis arandom variable whose cumulative distribution function is neither discrete nor everywhere-continuous0.90text
Random variableis ameasurable function0.90text
Xinstance ofA random variable is often denoted by capital Roman letters0.80text
Yinstance ofA random variable is often denoted by capital Roman letters0.80text
Zinstance ofA random variable is often denoted by capital Roman letters0.80text
Tinstance ofA random variable is often denoted by capital Roman letters0.80text
the expected valueinstance ofthe structure of the real numbers makes it possible to define quantities0.80text
variance of a random variableinstance ofthe structure of the real numbers makes it possible to define quantities0.80text
its cumulative distribution functioninstance ofthe structure of the real numbers makes it possible to define quantities0.80text

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