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hedge fund utility function / statistics question

bmwhype's picture

can someone explain, in a really dumbed down way, what "higher moments about the mean" means? what does "higher moments" mean?

i understand kurtosis and skewness but i dont understand what the phrases above are talking about....

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Skewness and Kurtosis are

Skewness and Kurtosis are the "higher moments" that you are rwferring to - the moments that non-normal distributions exhibit.

Skewness is referred to as the third moment, and Kurtosis is the fourth moment.

Skewness and Kurtosis are

Double post.. my fault.

If you are looking for an explanation of "moments", I would check out wikipedia or something like that for that mathematical term.

variance/std dev is 2nd

variance/std dev is 2nd moment

The nth moment about the

The nth moment about the mean is int[ (x-mu)^n f(x) dx ] from -inf to +inf in the continuous case (sum for discrete/sample case).

Obviously, the first moment is the mean. Second is variance. Third is skewness (negative value of integral indicates more density below the mean and vice-versa).

The moment is higher as n is higher.

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