Characteristic function (probability theory)
In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution. If a random variable admits a probability density function, then the characteristic function is the Fourier transform of the probability density function. Thus it provides the basis of an alternative route to analytical results compared with working directly with probability density functions or cumulative distribution functions. There are particularly simple results for the characteristic functions of distributions defined by the weighted sums of random variables.
Wikipage disambiguates
Wikipage redirect
primaryTopic
Characteristic function (probability theory)
In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution. If a random variable admits a probability density function, then the characteristic function is the Fourier transform of the probability density function. Thus it provides the basis of an alternative route to analytical results compared with working directly with probability density functions or cumulative distribution functions. There are particularly simple results for the characteristic functions of distributions defined by the weighted sums of random variables.
has abstract
25بك المحتوى هنا ينقصه الاستشه ...... : حيث أن الدالة G هي امتداد لـ
@ar
Als charakteristische Funktion ...... charakteristischen Funktionen.
@de
De karakteristieke functie van ...... tie die op of gedefinieerd is.
@nl
Em probabilidade, a função car ...... Transformada de Fourier de f .
@pt
En théorie des probabilités et ...... ion génératrice des cumulants.
@fr
Funkcją charakterystyczną rozk ...... ieństwa skupionej w punktach :
@pl
In probability theory and stat ...... istence of a density function.
@en
La función característica de u ...... el estudio de la probabilidad.
@es
Nella teoria della probabilità ...... ttore e come prodotto scalare.
@it
Характеристи́ческая фу́нкция с ...... кий, С.Р. Рао, Б. Рамачандран.
@ru
thumbnail
Wikipage page ID
Wikipage revision ID
742,703,146
title
Characteristic function
comment
25بك المحتوى هنا ينقصه الاستشه ...... بار z عدد مركب، و نستخلص إذا :
@ar
Als charakteristische Funktion ...... e Zuordnung ist also bijektiv.
@de
De karakteristieke functie van ...... tie die op of gedefinieerd is.
@nl
Em probabilidade, a função car ...... Transformada de Fourier de f .
@pt
En théorie des probabilités et ...... ion génératrice des cumulants.
@fr
Funkcją charakterystyczną rozk ...... ouriera na dowolne rozkłady. :
@pl
In probability theory and stat ...... hted sums of random variables.
@en
La función característica de u ...... el estudio de la probabilidad.
@es
Nella teoria della probabilità ...... nel caso la densità esista. Se
@it
Характеристи́ческая фу́нкция с ...... кий, С.Р. Рао, Б. Рамачандран.
@ru
label
Characteristic function (probability theory)
@en
Charakteristische Funktion (Stochastik)
@de
Fonction caractéristique (probabilités)
@fr
Función característica
@es
Funkcja charakterystyczna (teoria prawdopodobieństwa)
@pl
Funzione caratteristica (teoria della probabilità)
@it
Função característica (probabilidade)
@pt
Karakteristieke functie (kansrekening)
@nl
Характеристическая функция случайной величины
@ru
دالة مميزة (نظرية احتمالات)
@ar
