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Thread: Limit in probability of (x-bar)^2 ?

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    Limit in probability of (x-bar)^2 ?




    Anyone have any idea how to prove or show what the limit in probability of (x-bar)^2 is?

    sample is drawn from CDF F(x)=1-x^-4

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    Re: Limit in probability of (x-bar)^2 ?

    Do you mean the sample variance will converge in probability to which quantity?

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    Re: Limit in probability of (x-bar)^2 ?

    I suppose that is the idea right that the variation between the sample statistics and the population parameter is 0. I'm just not sure how to show what the actual limit in probability is of (x-bar)^2 and if the information about the CDF is relevant to finding the limit in probability

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    Re: Limit in probability of (x-bar)^2 ?


    It may be more complex than this, but I'm not sure why you can't use the CDF to find the mean of the distribution and - armed with that - simply use the CMT to determine what the the sample mean squared converges to.

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