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A Theory of Truncated Inverse Sampling (0810.5551v2)
Published 30 Oct 2008 in math.ST, cs.LG, math.PR, stat.ME, and stat.TH
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.