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arxiv: 0904.3812 · v3 · pith:CKRCPDXXnew · submitted 2009-04-24 · 🧮 math.ST · stat.TH

Estimation of a Probability with Guaranteed Normalized Mean Absolute Error

classification 🧮 math.ST stat.TH
keywords absoluteerrorestimationmeanprobabilitynormalizedapproacharbitrary
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The estimation of a probability p from repeated Bernoulli trials is considered in this paper. A sequential approach is followed, using a simple stopping rule. A closed-form expression and an upper bound are obtained for the mean absolute error of the unbiased estimator of p. The results given permit the estimation of an arbitrary probability with a prescribed level of normalized mean absolute error.

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