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논문 상세정보

A Comparison of Distribution-free Two-sample Procedures Based on Placements or Ranks


We discussed a comparison of distribution-free two-sample procedures based on placements or ranks. Iterative asymptotic distribution of both two-sample procedures is studies and small sample Monte Carlo simulation results are presented. Also, we proposed the Hodges-Lehmann type location estimator based on linear placement statistics.

참고문헌 (19)

  1. Rank-sum tests for dispersions , Ansari,A.R.;Bradley,R.A. , Annals of Mathematical Statistics / v.31,pp.1174-1189, 1960
  2. Asymptotic normality and efficiency of certain nonparametric test statistics , Chernoff,H.;Savage,I.R. , Annals of Mathematical Statistics / v.29,pp.972-994, 1958
  3. Asymptotic normality of simple linear rank statistics under alternative Ⅱ , Dupac,V.;Hajek,J. , Annals of Mathematical Society / v.40,pp.1992-2017, 1969
  4. Fisher,R.A.;Yates,F. , Statistical Tables for Biological, Agricultural and Medical Research(1st ed.) / v.,pp., 1938
  5. Robust rank procedures for the Behrens-Fisher problem , Flinger,M.A.;Policello,G.E.Ⅱ. , Journal of the American Statistics Association / v.76,pp.162-168, 1981
  6. Generalizations of theorems of Chernoff and Savage on the asymptotic normality of test statistics , Govindarajulu,z.;LeCam,L.;Raghavachari,M. , Proc. Fifth Berkeley Symp. / v.1,pp.609-638, 1966
  7. Asymptotic normality of simple linear rank statistics under alternatives , Hajek,J. , Annals of Mathematical Statistics / v.39,pp.325-346, 1968
  8. Estimates of loction based on rank tests , Hodgess,J.L.Jr.;Lehmann,E.L. , Annals of Mathematical Statistics / v.34,pp.598-611, 1963
  9. Nonparametric tests for scale , Klotz,J. , Annals of Mathematical Statistics / v.33,pp.498-512, 1962
  10. On a test of whether one of two random variables is stochastically larger than the other , Mann,H.B.;Whitney,D.R. , Annals of Mathematical Statistics / v.18,pp.50-60, 1947
  11. Mood,A.M. , Introduction to the Theory of Statistics / v.,pp., 1950
  12. On the asymptotic effiiciency of certain nonparametric two-sample tests , Mood,A.M. , Annals of Mathematical Statistics / v.25,pp.514-522, 1954
  13. A class of distribution-free two-sample tests based on placements , Orban,J.;Wolfe,D.A. , Annals of Mathematical Statistics / v.77,pp.666-671, 1982
  14. Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems , Pyke,R.;Shorack,G.R. , Annals of Mathematical Statistics / v.39,pp.755-771, 1968
  15. Randles,R.H.;Wolfe,D.A. , Introduction to the Theory of Nonparametric Statistics / v.,pp., 1979
  16. Some rank order tests which are most powerful against specific parametric alternatives , Terry,M.E. , Annals of Mathematical Statistics / v.23,pp.346-366, 1952
  17. Order tests for the two-sample problem and their power;Correction , Van der Waerden,B.L. , Indagationes Mathematicae / v.14;15,pp.453-458;80, 1952
  18. Singnigicance test for median and interquartile range in sample from continuous populations of any form , Westenberg,J. , Proc. Koninkl. Ned. Akad. Wetenshap. / v.51,pp.353-261, 1948
  19. Individual comparisons by ranking methods , Wilcoxon,F. , Biometrics / v.1,pp.80-83, 1945

이 논문을 인용한 문헌 (2)

  1. 1996. "" 한국통계학회 논문집 = Communications of the Korean Statistical Society, 3(3): 169~178 
  2. 1999. "" 한국통계학회 논문집 = Communications of the Korean Statistical Society, 6(1): 151~158 


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