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Thread: Consistent estimator proof. plz help me out in this proof?

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    Consistent estimator proof. plz help me out in this proof?




    I dont know how to prove this one:
    Let h(x) ia an even function, nondecreasing and non negative for x. Then, E[h(T-g(θ))] goes to zero, for all θ implies that T is consistent for estimating g(θ).


    Thank you

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    Re: Consistent estimator proof. plz help me out in this proof?

    Can an even function be non-decreasing? Do you mean it's non-decreasing over the positive reals?
    I don't have emotions and sometimes that makes me very sad.

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    Re: Consistent estimator proof. plz help me out in this proof?

    yes this is what I mean

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    Re: Consistent estimator proof. plz help me out in this proof?


    What have you tried so far?
    I don't have emotions and sometimes that makes me very sad.

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