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http://dx.doi.org/10.5351/CKSS.2008.15.5.643

A Note on Comparing Multistage Procedures for Fixed-Width Confidence Interval  

Choi, Ki-Heon (Department of Statistics, Duksung Women's University)
Publication Information
Communications for Statistical Applications and Methods / v.15, no.5, 2008 , pp. 643-653 More about this Journal
Abstract
Application of the bootstrap to problems in multistage inference procedures are discussed in normal and other related models. After a general introduction to these procedures, here we explore in multistage fixed precision inference in models. We present numerical comparisons of these procedures based on bootstrap critical points for small and moderate sample sizes obtained via extensive sets of simulated experiments. It is expected that the procedure based on bootstrap leads to better results.
Keywords
Bootstrap; fixed-width confidence interval; multistage procedures;
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1 Hall, P. (1981). Asymptotic theory of triple sampling for sequential estimation of a mean, The Annals of Statistics, 9, 1229-1238   DOI
2 Swanepoel, J. W. H., van Wijk, J. W. J. and Venter, J. H. (1983). Fixed-width confidence intervals based on bootstrap procedures, Sequential Analysis, 2, 289-310   DOI
3 Lehmann, E. (1959). Testing Statistical Hypotheses, John Wiley & Sons, New York
4 Mukhopadhyay, N. (1980). A consistent and asymptotically efficient two-stage procedure to construct fixed-width confidence interval for the mean, Metrika, 27, 281-284   DOI
5 Mukhopadhyay, N. and Duggan, W. T. (1997). Can a two-stage procedure enjoy second-order properties?, Sankhya Ser. A, 59, 435-448
6 Stein, C. (1945). A two sample test for a linear hypothesis whose power is independent of the variance, The Annals of Mathematical Statistics, 16, 243-258   DOI
7 Aerts, M. and Gijbels, I. (1993). A three-stage procedure based on bootstrap critical points, Sequential Analysis, 12, 93-113   DOI
8 Chow, Y. S. and Robbins, H. (1965). On the Asymptotic Theory of fixed-width sequential confidence intervals for the mean, The Annals of Mathematical Statistics, 36, 457-462   DOI
9 Ghosh, M., Mukhopadhyay, N. and Sen, P. K. (1997). Sequential Estimation, John Wiley & Sons, New York