The law of total variance,a.k.a. variance decomposition formula,a.k.a. conditional variance formulas,a.k.a. the law of iterated variances,a.k.a. Eve's law

Var(Y) = E(Var(Y|X)) + Var(E(Y|X))

#stats

The law of total covariance,a.k.a. the covariance decomposition formula,a.k.a. the conditional covariance formula

Cov(Y,Z) = E[Cov(Y,Z|X)] + Cov[E(Y|X), E(Z|X)]

#stats #math

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