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

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  • Jun Hu

    (Oakland University)

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.

Suggested Citation

  • Jun Hu, 2021. "Improving Hall’s Accelerated Sequential Procedure: Generalized Multistage Fixed-Width Confidence Intervals for a Normal Mean," Methodology and Computing in Applied Probability, Springer, vol. 23(3), pages 823-835, September.
    • Handle: RePEc:spr:metcap:v:23:y:2021:i:3:d:10.1007_s11009-020-09786-x
    DOI: 10.1007/s11009-020-09786-x
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    References listed on IDEAS

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    1. Nitis Mukhopadhyay & Sudeep R. Bapat, 2018. "Purely sequential bounded-risk point estimation of the negative binomial mean under various loss functions: one-sample problem," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(5), pages 1049-1075, October.
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