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Cumulative distribution function

In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} , evaluated at x {\displaystyle x} , is the probability that X {\displaystyle X} will take a value less than or equal to x {\displaystyle x} .

Applications, Derived functions & Properties

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Definition

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Derived functions

Multivariate case

Complex case

Use in statistical analysis

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Cumulative distribution function

Top relations

related to Complex random variable · 5
Cumulative distribution function → However, Im, Re, The, Therefore
related to Definition for two random variables · 5
Cumulative distribution function → CDF, Eq, For, When, XY
related to Kolmogorov–Smirnov and Kuiper's tests · 5
Cumulative distribution function → For, Kuiper's, Smirnov, The, The Kolmogorov
related to External links · 4
Cumulative distribution function → Cumulative, Media, Wikimedia Commons, Wiktionary-logo-en-v2
related to Complementary cumulative distribution function (tail distribution) · 3
Cumulative distribution function → Sometimes, This, Thus
related to Properties · 3
Cumulative distribution function → CDF, Every, Furthermore
related to Use in statistical analysis · 3
Cumulative distribution function → Cumulative, Such, The
related to Definition · 2
Cumulative distribution function → Eq, The
related to Empirical distribution function · 2
Cumulative distribution function → It, The

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Important terminology

displaystyle distribution function random cumulative probability cdf variable leq operatorname continuous given infty variables used example int value equal discrete

Entity relationships Subject–Predicate–Object triples

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SubjectPredicateObjectConfidenceSrc
Cumulative distribution functionrelated to Complementary cumulative distribution function (tail distribution)Sometimes0.60section
Cumulative distribution functionrelated to Complementary cumulative distribution function (tail distribution)This0.60section
Cumulative distribution functionrelated to Complementary cumulative distribution function (tail distribution)Thus0.60section
Cumulative distribution functionrelated to Complex random variableThe0.60section
Cumulative distribution functionrelated to Complex random variableHowever0.60section
Cumulative distribution functionrelated to Complex random variableRe0.60section
Cumulative distribution functionrelated to Complex random variableIm0.60section
Cumulative distribution functionrelated to Complex random variableTherefore0.60section
Cumulative distribution functionrelated to DefinitionThe0.60section
Cumulative distribution functionrelated to DefinitionEq0.60section
Cumulative distribution functionrelated to Definition for two random variablesWhen0.60section
Cumulative distribution functionrelated to Definition for two random variablesFor0.60section

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    Cumulative distribution function

    Nodes78
    Edges77
    Triples32
    Avg. degree1.97
    Density0.025641
    Components1
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