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Empirical estimator for the conditional expectation

  • 1.  Empirical estimator for the conditional expectation

    Posted 11-04-2014 11:25
    This message has been cross posted to the following eGroups: Statistical Consulting Section and ASA Connect .
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    Hello,

    I am conducting some simulations where I need to model E[ X | Y ] (the conditional expectation of X given Y) for X and Y two random variables. I already know that the random variable

    E[ X ]  + Cov( X, Y ) / Var( Y ) ( Y - E[ Y ]), 

    produces the best linear approximation for E[ X | Y ]. However, I could not find yet any method to compute empirically the conditional expectation for some sample (X_i, Y_i), i = 1,...,n.

    Does anyone have any suggestion to solve this?

    Best regards,

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    Maikol Solís
    University of Costa Rica
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