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A Theory of Truncated Inverse Sampling

Statistics Theory 2013-11-05 v2 Machine Learning Probability Methodology Statistics Theory

Abstract

In this paper, we have established a new framework of truncated inverse sampling for estimating mean values of non-negative random variables such as binomial, Poisson, hyper-geometrical, and bounded variables. We have derived explicit formulas and computational methods for designing sampling schemes to ensure prescribed levels of precision and confidence for point estimators. Moreover, we have developed interval estimation methods.

Keywords

Cite

@article{arxiv.0810.5551,
  title  = {A Theory of Truncated Inverse Sampling},
  author = {Xinjia Chen},
  journal= {arXiv preprint arXiv:0810.5551},
  year   = {2013}
}

Comments

31 pages, no figure, revised proofs

R2 v1 2026-06-21T11:36:42.520Z