Publication Cover
Sequential Analysis
Design Methods and Applications
Volume 12, 1993 - Issue 2
20
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

A three-stage procedure based on bootstrap critical points

&
Pages 93-113 | Published online: 29 Mar 2007

References

  • Anscombe , F.J. Large-sample theory of sequential estimation . Proc.Cambridge Philos.Soc . Vol. 48 , pp. 600 – 607 .
  • Bhattacharya , R. and Qumsiyeh , M. 1989 . Second order and Lp-comparisons between the bootstrap and empirical Edgeworth expansion methodologies . Ann.Statist , 17 : 160 – 169 .
  • Bickel , P.J. and Freedman , D.A. 1981 . Some asymptotic theory for the bootstrap . Ann.Statist , 9 : 1196 – 1217 .
  • Bickel , P.J. and Yahav , J.A. 1968 . Asymptotic optimal Bayes and minimax procedures in sequential estimation . Ann. Statist. , 39 : 442 – 456 .
  • Chow , Y.S. A martingale inequality and the law of large numbers . Proc.Amer.Math.Soc . pp. 107 – 110 .
  • Chow , Y.S. and Robbins , H. 1965 . On the asymptotic theory of fixed-width sequential confidence intervals for the mean . Ann.Math.Statist , 36 : 457 – 462 .
  • Csörgő , M. 1973 . “ Glivenko-cantelli type theorems for distance functions based on the modified empirical distribution function of M. Kac and for the empirical process with random sample size in general ” . In Lecture notes in mathematics , Vol. 296 , 149 – 164 . New york : Springer-verlag .
  • Hall , P. 1981 . Asymptotic theory of triple sampling for sequential estimation of a mean . Ann.Statist. , 9 : 1229 – 1238 .
  • Hall , P. 1988 . On symmetric bootstrap confidence intervals . J.R.Statist.Soc.Series , 1 : 35 – 45 .
  • Hall , P. 1988 . Theoretical comparison of bootstrap confidence intervals . Ann.Statist. , 16 : 927 – 953 .
  • Hamdy , H.I. 1988 . Remarks on the asymptotic theory of triple stage estimation of the normal mean . Scand.J.Statist , 15 : 303 – 310 .
  • Honda , T. 1992 . Estimation of the mean by the three stage procedure . Commun.in Statist.-Seq.Analys. , 11 : 73 – 89 .
  • Lohr , S.L. 1990 . Accurate multivariate estimation using triple sampling . Ann.Statists. , 18 : 1615 – 1633 .
  • Lewis P.A.W. Oraw E.J. Uribe L. Advanced simulation and statistics package IBM professional fortran version. Wadsworth & Brooks/Cole Monterey, California 1989
  • Serfling , R.J. 1980 . “ Approximation theorems of mathematical statistics ” . New York : Wiley .
  • Stein , C. 1945 . A two sample test for a linear hypothesis whose power is independent of the variance . Ann.Math.Statist , 43 : 243 – 258 .
  • Swanepoel , J.W.H. 1990 . A review of bootstrap methods . South African Statist.J , 24 : 1 – 34 .
  • Swanepoel , J.W.H. , van Wijk , J.W.J. and Venter , J.H. 1984 . Fixed-width confidence intervals based on bootstrap procedures . Commun. in Statist.-Seq. Analys , 2 : 289 – 310 .
  • Vik , G. and Mukhopadhyay , N. 1988 . Triple sampling to construct fixed-width confidence intervals for estimable parameters based on U-statistics . MetronIntern,J.Statist. , 2 : 165 – 174 . XLVL

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.