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Math Help - statistical inference

  1. #1
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    statistical inference

    hi guys,

    I need some help with this question:

    define a condition of the coefficient ai, so that the linear combination
    T=sum(ai*Xi)
    will be an unbiased estimator of E(X).
    Find the variance of T if you assume that a sample of size n was taken from a population with:
    sigma^2<infinity

    cheers !
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  2. #2
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    Quote Originally Posted by WeeG View Post
    hi guys,

    I need some help with this question:

    define a condition of the coefficient ai, so that the linear combination
    T=sum(ai*Xi)
    will be an unbiased estimator of E(X).
    Find the variance of T if you assume that a sample of size n was taken from a population with:
    sigma^2<infinity

    cheers !
    ai = 1/n where n is the sample size.

    To get Var(T), read 4.1 of Variance - Wikipedia, the free encyclopedia
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