Coherence (statistics)

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In probability theory and statistics, coherence, like correlation, gives a measure of the dependence of two random variables. The coherence of random variables X and Y is defined as

\gamma^2 = { \left|\mathrm{E} ( X^{^*} Y ) \right|^2 \over \mathrm{E}(\left|X\right|^2) \mathrm{E}(\left|Y\right|^2)}\,

where |X| indicates absolute magnitude, X* is the complex conjugate of X, and E(X) denotes the expected value of a random variable X.

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