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Asymptotic second-order efficiency of three-stage procedure with a warranted confidence level
Authors:Yoshikazu Takada
Institution:(1) Department of Computer Science, Kumamoto University, Kumamoto 860-8555, Japan
Abstract:This paper considers a three-stage procedure which was proposed by Holm (1995) to yield a fixed-width confidence interval of the normal mean with a precise confidence level. The procedure is shown to be asymptotically second-order efficient. The procedure is also applied to such problems as bounded risk and hypothesis testing
Keywords:Stein’  s two-stage procedure  Three-stage procedure  Exact consistency  Asymptotic second-order efficiency  Fixed-width confidence interval
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