Cumulative distribution function

Cumulative distribution function

In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable , or just distribution function of , evaluated at , is the probability that will take a value less than or equal to . Every probability distribution supported on the real numbers, discrete or "mixed" as well as continuous, is uniquely identified by an upwards continuous monotonic increasing cumulative distribution function satisfying and .

BackgroundColour
en#F5FFFA
BorderColour
en#0073CF
Cellpadding
6
Comment
enIn probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable , or just distribution function of , evaluated at , is the probability that will take a value less than or equal to . Every probability distribution supported on the real numbers, discrete or "mixed" as well as continuous, is uniquely identified by an upwards continuous monotonic increasing cumulative distribution function satisfying and .
Depiction
Discrete probability distribution illustration.svg
Exponential distribution cdf.svg
Folded-cumulative-distribution-function.svg
Normal Distribution CDF.svg
Has abstract
enIn probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable , or just distribution function of , evaluated at , is the probability that will take a value less than or equal to . Every probability distribution supported on the real numbers, discrete or "mixed" as well as continuous, is uniquely identified by an upwards continuous monotonic increasing cumulative distribution function satisfying and . In the case of a scalar continuous distribution, it gives the area under the probability density function from minus infinity to . Cumulative distribution functions are also used to specify the distribution of multivariate random variables.
Hypernym
Probability
Is primary topic of
Cumulative distribution function
Label
enCumulative distribution function
Link from a Wikipage to another Wikipage
Absolute continuity
Almost everywhere
Binomial distribution
Càdlàg
Category:Functions related to probability distributions
Characteristic function (probability theory)
Complex random variable
Continuous distribution
Continuous function
Continuous random variable
Cumulative frequency analysis
Derivative
Descriptive statistics
Discontinuity (mathematics)
Discrete random variable
Dispersion (statistics)
Distribution fitting
Empirical distribution function
Engineering
Exponential distribution
File:Discrete probability distribution illustration.svg
File:Exponential distribution cdf.svg
File:Folded-cumulative-distribution-function.svg
File:Normal Distribution CDF.svg
Fundamental Theorem of Calculus
Greatest integer
Hyperrectangle
Hypothesis test
Indicator function
Interval (mathematics)
Inverse transform sampling
Joint probability distribution
Kolmogorov–Smirnov test
Kuiper's test
Lebesgue integral
Markov's inequality
Mean absolute deviation
Median (statistics)
Monotone increasing
Multivariate random variable
Normal distribution
Ogive (statistics)
Paul Lévy (mathematician)
Poisson distribution
Probability
Probability density function
Probability mass function
Probability theory
P-value
Quantile function
Random number generation
Random variable
Random vector
Right-continuous
Skewness
Standard normal table
Statistical hypothesis test
Statistics
Support (measure theory)
Survival analysis
Survival function
Survivor function
Test statistic
Uniform distribution (continuous)
Wikt:monotonic increasing
SameAs
3aRvJ
4192219-0
Banaketa-funtzio
Birikimli dağılım fonksiyonu
Cumulative distribution function
Distribučná funkcia (štatistika)
Distribuční funkce
Distribuo
Dystrybuanta
Eloszlásfüggvény
Fonction de répartition
Fordelingsfunktion
Função distribuição acumulada
Funció de distribució
Función de distribución
Función de distribución
Fungsi sebaran kumulatif
Funzione di ripartizione
Hàm phân phối tích lũy
Jaotusfunktsioon
Kertymäfunktio
Kumulativ fordelingsfunksjon
Kumulativ fördelningsfunktion
Kumulativna distribucija
m.01rf1
Q386228
Verdelingsfunctie
Verteilungsfunktion
Zbirna funkcija verjetnosti
Συνάρτηση κατανομής
Валеçӳ функцийĕ
Функция распределения
Функција расподеле
Функція розподілу ймовірностей
פונקציית התפלגות
تابع توزیع تجمعی
دالة التوزيع التراكمي
ალბათური განაწილების ფუნქცია
累积分布函数
累積分布関数
누적 분포 함수
Subject
Category:Functions related to probability distributions
Thumbnail
Exponential distribution cdf.svg?width=300
WasDerivedFrom
Cumulative distribution function?oldid=1123226197&ns=0
WikiPageLength
24861
Wikipage page ID
5793
Wikipage revision ID
1123226197
WikiPageUsesTemplate
Template:Citation needed
Template:Commons category-inline
Template:Equation box 1
Template:EquationNote
Template:EquationRef
Template:Main
Template:More citations needed
Template:NumBlk
Template:Reflist
Template:Rp
Template:Short description
Template:Theory of probability distributions