conditional expectation

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conditional expectation

[kən′dish·ən·əl ‚ek‚spek′tā·shən]
(mathematics)
If X is a random variable on a probability space (Ω, F,P), the conditional expectation of X with respect to a given sub σ-field F′ of F is an F′-measurable random variable whose expected value over any set in F′ is equal to the expected value of X over this set.
(statistics)
The expected value of a conditional distribution.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive ?
The marginal effect is obtained by differentiating the conditional expected value of the dependent variable with respect to the explanatory variables: [partial derivative]E|y|[x.sub.1]/[partial derivative][x.sub.1] = [[beta].sub.1].
(3) the conditional expected value of [u.sub.i] given [v.sub.i] is [gamma]v, in other words, we assume linearity in the population regression of u on v.
If the random variables [X.sub.1],..., [X.sub.M] have a joint multivariate normal distribution, then the smallest mean squared error linear predictor of [X.sub.1] is the conditional expected value E([X.sub.1]|[x.sub.2],..., [x.sub.M]).
We further extend the existing literature by considering the purposeful acquisition of costly information that can be used to increase the precision of the conditional expected value estimate.
The conditional expected value of S' given K = k is
The conditional expected value of total warranty cost has been analysed.
As with OLS estimates, one interprets QR coefficients as rates of change in conditional expected values. The QR expectations, however, are taken of quantiles, rather than of the variables themselves.

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