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conditional expectation

   Also found in: Wikipedia 0.01 sec.
conditional expectation [kən′dish·ən·əl ‚ek‚spek′tā·shən]
(mathematics)
IfXis a random variable on a probability space (Ω,F,P), the conditional expectation ofXwith respect to a given sub σ-fieldF′ofFis anF′-measurable random variable whose expected value over any set inF′is equal to the expected value ofXover this set.
(statistics)
The expected value of a conditional distribution.


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2001, "The Specification of Conditional Expectations," Journal of Empirical Finance 8, 573-637.
Some specific topics covered are product integration and characterization on probability laws, bivariate Lukacs-type regression characterization, and characterizations of distributions by conditional expectations of generalized order statistics.
Given a realisation of a spatio-temporal point process X of spikes and given a trajectory of the path Y, the solution of the nonlinear filtering problem is the conditional expectation E[[LAMBDA]|X,Y] which is not explicitly available.
 
 
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