A Theory of Truncated Inverse Sampling

Details A Theory of Truncated Inverse Sampling A Theory of Truncated Inverse Sampling

2008-10-30

arxiv.org/abs/0810.5551v2

Mathematics

Statistics Theory

31 pages, no figure, revised proofs

Scientific paper

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.

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