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Estimation of a Probability with Guaranteed Normalized Mean Absolute Error

Statistics Theory 2018-12-19 v3 Statistics Theory

Abstract

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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Cite

@article{arxiv.0904.3812,
  title  = {Estimation of a Probability with Guaranteed Normalized Mean Absolute Error},
  author = {Luis Mendo},
  journal= {arXiv preprint arXiv:0904.3812},
  year   = {2018}
}

Comments

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R2 v1 2026-06-21T12:54:42.965Z