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Area Mathematics - Functions / Probability

IEV ref103-08-10

en
expectation, <of a random variable>
mean, <of a random variable>
  1. for a discrete random variable X taking the values x i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadchadaWgaaWcba GaamyAaaqabaaaaa@3761@ with the probabilities p i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadchadaWgaaWcba GaamyAaaqabaaaaa@3761@ , the sum

    E(X)= i p i x i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadweacaGGOaGaam iwaiaacMcacqGH9aqpdaaeqaqaaiaadchadaWgaaWcbaGaamyAaaqa baaabaGaamyAaaqab0GaeyyeIuoakiaadIhadaWgaaWcbaGaamyAaa qabaaaaa@404E@

    extended for all values x i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadchadaWgaaWcba GaamyAaaqabaaaaa@3761@ which can be taken by X

  2. for a continuous random variable X having the probability density function f(x) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaam iEaiaacMcaaaa@3893@ , the value of the integral

    E(X)= xf(x)dx MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadweacaGGOaGaam iwaiaacMcacqGH9aqpdaWdbaqaaiaadIhacaaMi8UaamOzaiaacIca caWG4bGaaiykaKqzafGaciizaOGaamiEaaWcbeqab0Gaey4kIipaaa a@43C2@

    extended for all values of the interval of variation of X


fr
espérance mathématique, <d'une variable aléatoire> f
espérance, <d'une variable aléatoire> f
moyenne, <d'une variable aléatoire> f
  1. pour une variable aléatoire discrète X prenant les valeurs x i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadchadaWgaaWcba GaamyAaaqabaaaaa@3761@ avec les probabilités p i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadchadaWgaaWcba GaamyAaaqabaaaaa@3761@ , somme

    E(X)= i p i x i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadweacaGGOaGaam iwaiaacMcacqGH9aqpdaaeqaqaaiaadchadaWgaaWcbaGaamyAaaqa baaabaGaamyAaaqab0GaeyyeIuoakiaadIhadaWgaaWcbaGaamyAaa qabaaaaa@404E@

    étendue à toutes les valeurs x i MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadchadaWgaaWcba GaamyAaaqabaaaaa@3761@ susceptibles d'être prises par X

  2. pour une variable aléatoire continue X de densité de probabilité f(x) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaam iEaiaacMcaaaa@3893@ , valeur de l'intégrale

    E(X)= xf(x)dx MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadweacaGGOaGaam iwaiaacMcacqGH9aqpdaWdbaqaaiaadIhacaaMi8UaamOzaiaacIca caWG4bGaaiykaKqzafGaciizaOGaamiEaaWcbeqab0Gaey4kIipaaa a@43C2@

    étendue à tout le domaine de variation de X


ar
التباين (لمتغير عشوائى)

de
Erwartungswert (einer Zufallsvariablen), m
Mittelwert (einer Zufallsvariablen), m

es
esperanza matemática (de una variable aleatoria)

it
valore atteso (di una variabile casuale)
valor medio (di una variabile casuale)

ja
期待値, <確率変数の>
平均, <確率変数の>

pl
wartość oczekiwana (zmiennej losowej)

pt
esperança matemática (de uma variável aleatória)
esperança (de uma variável aleatória)
média (de uma variável aleatória)

sr
очекивање, <случајне променљиве> с јд
средња вредност, <случајне променљиве> ж јд

sv
väntevärde (av en stokastisk variable)
medelvärde (av en stokastisk variable)

zh
期望值, <一个随机变量的>
均值, <一个随机变量的>

Publication date: 2009-12
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