Publication Cover
Sequential Analysis
Design Methods and Applications
Volume 5, 1986 - Issue 3
17
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

On sequentially adaptive signed-rank statistics

&
Pages 237-252 | Published online: 29 Mar 2007

References

  • Beran , R. 1974 . Asymptotically efficient adaptive rank estimates in location models . Ann.Statist , 2 : 63 – 74 .
  • Dharmadhikari , S.W. , Febian , V. and Jogdeo , K. 1968 . Bounds on moments on martingales . Ann.Math.Statist , 39 : 1719 – 1723 .
  • Eplett , W.J.R. 1982 . Rank tests generated by continuous piecewise linear functions . Ann.Statist , 10 : 569 – 574 .
  • Hájek , J. “ Miscellaneous problems of rank test theory ” . In In Nonparametric Thehniques in Statistical Inference , Edited by: Puri , M.L. 3 – 17 . Cambridge Univ.Press .
  • Hoeffding , W. 1963 . Probability inequalities for sums of bounded random variables . J.Amer.Statist.Assoc , 58 : 13 – 60 .
  • Hušková , M. 1983 . Adaptive procedures for the two-sample location model . Sequen.Anal , 2 : 387 – 401 .
  • Hušková , M. and Jurečková , J. . Asymptotic representation of R-estimators of location . Proc.4th Pannonian Conf.Math.Statist . pp. 145 – 165 .
  • Hušková , M. and Sen , P.K. 1985 . On sequentially adaptive asymptotically efficient rank statistics . Sequen. Anal. , 4 : 125 – 151 .
  • Jurečkova , J. 1969 . Asymptotic linearity of a rank statistic in regresion parameter . Ann.Math.Statist , 40 : 1889 – 1900 .
  • Jurečková , J. 1971a . Asymptotic independence of rank test statistic for testing symmetry on regression . Sankhya , A 33 : 1 – 18 .
  • Jurečkova , J. 1971b . Nonparametric estimate of regression coefficients . Ann.Math.Statist , 42 : 1328 – 1338 .
  • Puri , M. L. and Sen , P.K. 1985 . Nonparametric Methods in General Linear Models , New York : John Wiley .
  • Sen , P.K. 1980 . On almost sure linearity theorems for signed rank order statistics . Ann.Statist , 8 : 313 – 321 .
  • Sen , P.K. 1981 . “ Sequential Nonparametrics Invariance Principles and Statistical Inference ” . New York : John Wiley .
  • Sen , P.K. 1971 . On bounded length sequential confidence intervals based on one sample rank order statistics . Ann.Math.Statist , 42 : 189 – 203 .
  • Van Eeden , C. 1970 . Efficiency robust estimation of location . Ann.Math.Statist , 41 : 172 – 181 .
  • Van Eeden , C. 1972 . An analogue for signed rank statistics of Jurečková's asymptotic linearity theorems for rank statistics . Ann.Math.Statist , 43 : 751 – 802 .

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.