Journal of the Korean Statistical Society

  • 제26권3호
  • /
  • Pages.309-317
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  • 1997
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  • 1226-3192(pISSN)
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  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Sequential Confidence Interval with $\beta$-protection for a Linear Function of Two Normal Means

  • Kim, Sung-Lai (Department of Mathematics, Chungnam National University)
  • 발행 : 1997.09.01
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초록

A sequential procedure for estimating a linear function of two normal means which satisfies the two requirements, i.e. one is a condition of coverage probability, the other is a condition of $\beta$-protection, is proposed when the variances are unknown and not necessarily equal. We give asymptotic behaviors of the proposed stopping time.

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참고문헌

  1. Proc. Cambridge Philos. Soc. v.48 Large sample theory of sequential estimation Anscombe, F. J.
  2. The Annals of Mathematical Statistics v.36 On the asymptotic theory of fixed width confidence intervals for the means Chow, Y. S.;Robbins, H.
  3. Sequential Analysis v.9 no.4 An adaptive biased coin design for the Behrens-Fisher problem Eisele, J. R.
  4. Sequential Analysis v.8 Sequential confidence sets with beta-protection in multiparameter families Fahker-Zakeri
  5. The Annals of Statistics v.8 no.1 Sequential point estimation of the difference of two normal mean Ghosh, M.;Mukhopadhyay, N.
  6. ph.D. Dissertation, Univ. of Illinois Sequential and non-sequential intervals with guaranteed coverage probability and beta protection Juhlin, K. D.
  7. Journal of Korean Statistical Society v.19 no.2 Sequential confidence intervals for the mean with β-protection in a certain parameter space Kim, S. L.
  8. The Annals of Mathematical Statistics v.38 Sequential analouge of the Behrens-Fisher problem Robbins, H.;Simons, G.;Starr, N.
  9. The Annals of Mathematical Statistics v.37 The performance of a sequential procedure for the fixed-width interval estimation of the mean Starr, N.
  10. Communications in Statistics-Theory and Method A v.10 Confidence sets based on sequential test Wijsman, R. A.
  11. Statistical Decision Theory and Related Topics Ⅲ v.2 Sequential confidence sets; Estimation-oriented versus Test-oriented construction Wijsman, R. A.
  12. Sequential Analysis v.2 Sequential estimation and test-oriented confidence intervals for μ/σ in a normal population Wijsman, R. A.
  13. Adaptive Stat. Proc. and Related Topics Sequential confidence interval with beta-protection in one-parameter families Wijsman, R. A.
  14. The Annals of Mathematical Statistics v.21 Minimax estimates of the mean of a normal distribution with unknown variance Wolfowitz, J.