Improving Hall’s Accelerated Sequential Procedure: Generalized Multistage Fixed-Width Confidence Intervals for a Normal Mean

Jun Hu ()
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Jun Hu: Oakland University

Methodology and Computing in Applied Probability, 2021, vol. 23, issue 3, 823-835

Abstract: Abstract We have developed an innovative generalized multistage fixed-width confidence interval (FWCI) estimation procedure for an unknown normal mean when the variance also remains unknown, which can be viewed as a mixture of sequential sampling and batch sampling procedures. Requiring the same expected sample size as Hall’s accelerated sequential sampling procedure, it enables the number of sampling operations to be further reduced by a predetermined factor. Extensive sets of simulations are provided to highlight the remarkable performance of the new multistage FWCI estimation procedure, and real data illustrations are included to demonstrate the practical applicability.

Keywords: Fixed-width confidence intervals; Multistage estimation; Normal mean; Real data illustrations; Sampling operations; Simulations; 62L10; 62L12 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11009-020-09786-x

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