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If X is binomial np then the variance of pnX which is.pdf

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If X is binomial (n,p), then the variance of p^=nX (which is the maximum likelihood estimate of p) is p^2=np(1p). This variance is often estimated by ^2=np^(1p^)=nnX(1nX). Is this an unbiased estimator of p^2 ? If not find a constant c so that c^2 is unbiased..

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If X is binomial (n,p), then the variance of p^=nX (which is the maximum likelihood estimate of p) is p^2=np(1p). This variance is often estimated by ^2=np^(1p^)=nnX(1nX). Is this an unbiased estimator of p^2 ? If not find a constant c so that c^2 is unbiased.

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If X is binomial np then the variance of pnX which is.pdf

  • 1. If X is binomial (n,p), then the variance of p^=nX (which is the maximum likelihood estimate of p) is p^2=np(1p). This variance is often estimated by ^2=np^(1p^)=nnX(1nX). Is this an unbiased estimator of p^2 ? If not find a constant c so that c^2 is unbiased.