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Imputed values are the conditional expectations for the missing data values, conditioned on past values of the series itself and current and past values of the other series.
But not if you speak in the language of sigma and conditional expectations.
Note that the conditional expectations of the particle velocities are different for different fluid phases.
These models are based upon principles of mean-square error minimization, conditional expectations and stochastic estimation.
Assuming exogeneity, the conditional expectations of the error terms in Eqs. 1 and 2 are zero.
We use the basic equation for conditional expectations, i.e. E ( X ) = E ( E [ X | Y ] ), (6).
Thus, for n ≥ 2 there is not a unique choice of the conditional expectations.
Following the previous work [6],[16],[22], we define (conditional) expectations as shown below.
We obtain the first eigenvalue of the horizontal Laplacian by calculating conditional expectations of the stochastic parallel transport.
We investigate properties of compositions of conditional expectations on a non-atomic probability space (Ω,F,μ).
For example, if (mathcal {Q}={P}), then the strong time consistency reduces to the tower property for conditional expectations.
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