Linearized Rank Estimates and Signed-Rank Estimates for the General Linear Hypothesis

Charles H. Kraft; Constance Van Eeden

Publications mathématiques et informatique de Rennes (1969-1970)

  • Volume: 43, Issue: 2, page 1-31

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Kraft, Charles H., and Van Eeden, Constance. "Linearized Rank Estimates and Signed-Rank Estimates for the General Linear Hypothesis." Publications mathématiques et informatique de Rennes 43.2 (1969-1970): 1-31. <http://eudml.org/doc/274709>.

@article{Kraft1969-1970,
author = {Kraft, Charles H., Van Eeden, Constance},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {2},
pages = {1-31},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Linearized Rank Estimates and Signed-Rank Estimates for the General Linear Hypothesis},
url = {http://eudml.org/doc/274709},
volume = {43},
year = {1969-1970},
}

TY - JOUR
AU - Kraft, Charles H.
AU - Van Eeden, Constance
TI - Linearized Rank Estimates and Signed-Rank Estimates for the General Linear Hypothesis
JO - Publications mathématiques et informatique de Rennes
PY - 1969-1970
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 43
IS - 2
SP - 1
EP - 31
LA - eng
UR - http://eudml.org/doc/274709
ER -

References

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  1. [1] Adichie, J.N., "Estimates of regression parameters based on rank tests", Ann. Math. Stat.38 (1967), 894-904 Zbl0152.37102MR247715
  2. [2] Bhuchongkul, S. and Puri, M.L., "On the estimation of contrasts in linear models", Ann. Math. Stat.36 (1965), 198-202 Zbl0135.19504MR170416
  3. [3] Greenberg, V.L., "Robust estimation in incomplete block designs". Ann. Math. Stat.37 (1966), 1331-1337 Zbl0147.19001MR198628
  4. [4] Hajek, J. and Sidak, Z., "Theory of rank tests". Academic Press, New York, 1967 Zbl0944.62045MR229351
  5. [5] Hodges, Jr and Lehmann, E.L., "Estimates of location based on rank tests", Ann. Math. Stat.34 (1963), 598-611 Zbl0203.21105MR152070
  6. [6] Jureckeve, J., "Asymptotic linearity of a rank statistic in regression parameter", Ann. Math. Stat.40 (1969), 1869-1900 Zbl0188.51003MR248931
  7. [7] Koul, H.L., "Asymptotic behavior of a class of regions based on ranks". Technical Report, Department of Statistics and Probability, Michigan State University, 1969 
  8. [8] Koul, H.L., "Asymptotic behavior of Wilcoxon type confidence regions in multivariate linear regression", Ann. Math. Stat.40 (1969), 1950-1979 Zbl0199.53503MR260126
  9. [9] Kraft, C.H., and van Eeden C., "Efficient linearized estimates based on ranks". Proceedings of the First International Symposium on Nonparametric Techniques in Statistical Inference, Bloomington, Indiana, 1969. To appear 
  10. [10] Kraft, C.H., and van Eeden, C., "Relative efficiencies of quick and efficient methods of computing estimates from rank tests", submitted. Zbl0231.62062
  11. [11] Lehmann, E.L., "Robust estimaticn in the analysis of variance", Ann. Math. Stat. 84 (1963), 957-966 Zbl0203.21106MR152071
  12. [12] Lahmann, E.L., "Asymptotically nonparametric inference in some linear models with one observation per cell" Ann. Math. Stat.35 (1964), 726-734 Zbl0136.40501MR164413
  13. [13] Puri, M.L. and Sen, P.K., "On robust estimation in incomplete blook designs", Ann. Math. Stat.38 (1967), 1587-1591 Zbl0158.37602MR216688
  14. [14] Rao, P.V. and Thernby, J.I., "A robust point estimator in a generalized regression model ", Ann. Math. Stat.40 (1969), 1784-1790. Zbl0198.51601MR254986
  15. [15] van Eoden, Constance, "A one - sample analogue of a theorem of Jureckeve", Submitted to Ann. Math. Stat. 

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