expected value of a 1*4 matrix

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ali 2013-7-10

编辑： Matt J 2021-7-27

how can i find expected value k=E{(z.^2)*transpose(z)}.

'z' is a 1*4 matrix.

is matlab command mean((z.^2)*transpose(z)) is equal to expected value E{...}??

thanks

Matt J 2013-7-10

Yes. mean(x) averages over x.

Muhammad Yasir 2021-7-27

I have one confusion in this regard is that expected value is not always equal to the mean.

In a book on probability theory, I have found the following definition of expected value of a random variable

where

is the average value taken by a random varibale with probaility

Matt J 2021-7-27

编辑：Matt J 2021-7-27

Yes, but the law of large numbers implies that the arithmetic mean, as given by mean(), will approximate the statistical expected value.

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