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5 One possible estimator of the binomial parameter p is n.pdf

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This document describes an estimator ^=n+3Y+1 for the binomial parameter p based on the total number of successes Y in n independent trials. To find the bias of this estimator, we calculate its expected value E(^) and compare it to the true value p. The estimator is unbiased when E(^) = p for all values of p.

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5. One possible estimator of the binomial parameter p is ^=n+3Y+1, where Y represents the total number of successes in n independent trials. Find the bias of ^. Are there any values of p for which is unbiased? Explain. Hint: If Y is binomial, then E(Y)=np. In addition, E(k)=k for any constant k.

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5 One possible estimator of the binomial parameter p is n.pdf

  • 1. 5. One possible estimator of the binomial parameter p is ^=n+3Y+1, where Y represents the total number of successes in n independent trials. Find the bias of ^. Are there any values of p for which is unbiased? Explain. Hint: If Y is binomial, then E(Y)=np. In addition, E(k)=k for any constant k.