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cokurtosis : ウィキペディア英語版
cokurtosis
In probability theory and statistics, cokurtosis is a measure of how much two random variables change together. Cokurtosis is the fourth standardized cross central moment. If two random variables exhibit a high level of cokurtosis they will tend to undergo extreme positive and negative deviations at the same time.
== Definition ==
For two random variables ''X'' and ''Y'' there are three non-trivial cokurtosis statistics

:
K(X,X,X,Y) = \over \sigma_X^3 \sigma_Y},

:
K(X,X,Y,Y) = \over \sigma_X^2 \sigma_Y^2},

and
:
K(X,Y,Y,Y) = \over \sigma_X \sigma_Y^3},

where E() is the expected value of ''X'', also known as the mean of ''X'', and \sigma_X is the standard deviation of ''X''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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