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Show that the sample proportion nX is the UMVUE of the Binomial parameter , where
XBin(n,). (Hint: Consider nX=ni=1nYi, where YiiidBer(). That is, treat nX as the mean of a
random sample of size n from a Bernoulli population with the parameter .

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Show that the sample proportion nX is the UMVUE of the Binomial param.pdf

  • 1. Show that the sample proportion nX is the UMVUE of the Binomial parameter , where XBin(n,). (Hint: Consider nX=ni=1nYi, where YiiidBer(). That is, treat nX as the mean of a random sample of size n from a Bernoulli population with the parameter .