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.dsy:it. : Powered by vBulletin version 2.3.1 .dsy:it. > Didattica > Corsi A - F > Calcolo delle probabilità e statistica matematica > Passaggio dimostrazione poco chiaro - Varianza
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Teju
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Passaggio dimostrazione poco chiaro - Varianza

Ciao gente, a pagina 81 del Mood, il teorema 2.4 afferma che var(x)=E[(X - E(X)^2]=E(X^2) - (E(X))^2.
Poi sotto lo dimostra e fa un passaggio che non capisco, affermando che 2XE(X) = 2(E(X))^2... ma perchè mai???? :?

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Teju.it - Una vita da raccontare

31-03-2010 10:24
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darkshadow
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2XE(X) dove 2E(X) sono costanti dato che E(X) è un numero
per farti capire mettiamo C = 2E(X)
Allora diventa CX con X v.c
Dalle proprietà del valore atteso abbiamo che E(CX) = CE(X) = 2E(X)E(X) = 2 (E(X))^2

spero di essere stato chiaro :)

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31-03-2010 11:24
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Teju
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Originally posted by darkshadow
spero di essere stato chiaro :)

:-D chiarissimo, grazie mille!!!!

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Teju.it - Una vita da raccontare

31-03-2010 11:48
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Teju
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Ho un altro dubbio su una dimostrazione...
Distribuzione uniforme (pg 116 Mood):

Dimostrando E(X) arrivo a dire = (b^2 - a^2) / 2(b - b) ... ma 2(b-b) = 0, dunque la frazione non è valida... e come arrivo poi da qui al risultato a+b/2?

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Teju.it - Una vita da raccontare

02-04-2010 16:16
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