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Original Articles

An omnibus test for the two-sample problem using the empirical characteristic function

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Pages 177-203 | Received 25 Feb 1986, Published online: 20 Mar 2007

References

  • Anderson , T.W. 1962 . On the distribution of the two-sample Cramér-von Mises criterion . Annals of Mathematical Statistics , 33 : 1148 – 1159 .
  • Burr , E. 1963 . Distribution of the two-sample Cramér-von Mises criterion for small equal samples . Annals of Mathematical Statistics , 34 : 95 – 101 .
  • Burr , E.J. 1964 . Small-sample distributions of the two-sample Cramér-von Mises W 2 and Watson's U 2 . Annals of Mathematical Statistics , 35 : 1091 – 1098 .
  • Conover , W.J. 1972 . A Kolmogorov goodness-of-fit test for discontinuous distributions . Journal of the American Statistical Association , 61 : 591 – 596 .
  • Csörgo , S. 1981a . Limit behaviour of the empirical characteristic function . Annals of Probability , 9 : 130 – 144 .
  • Csörgo , S. 1981b . Multivariate empirical characteristic functions . Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete , 55 : 203 – 229 .
  • Csörgo , S. 1985 . Testing for independence by the empirical characteristic function . Journal of Multivariate Analysis , 16 : 290 – 299 .
  • Csorgo S. Heathcote C. R. Testing for symmetry 1983 manuscript
  • Darling , D.A. 1957 . The Kolmogorov-Smirnov, Cramér-von Mises tests . Annals of Mathematical Statistics , 28 : 823 – 838 .
  • Das Gupta , S. and Perlman , M.D. 1974 . Power of the noncentral F-test: Effect of additional variates on Hotelling's T 2-test . Journal of the American Statistical Association , 69 : 174 – 180 .
  • Delse , F.C. and Feather , B.W. 1968 . The effect of augmented sensory feedback on the control of salivation . Psychophysiology , 5 : 15 – 21 .
  • Epps , T.W. and Pulley , L.B. 1983 . A test for normality based on the empirical characteristic function . Biometrika , 70 : 723 – 726 .
  • Epps , T.W. , Singleton , K.J. and Pulley , L.B. 1982 . A test of separate families of distributions based on the empirical moment generating function . Biometrika , 69 : 391 – 399 .
  • Feigin , P.D. and Heathcote , C.R. 1976 . The empirical characteristic function and the Cramer-von Mises statistic . Sankhyä , 38 : 309 – 325 .
  • Feuverger , A. and Mcdunnough , P. 1981 . On the efficiency of empirical characteristic function procedures . Journal of the Royal Statistical Society Ser. 3 , 43 : 20 – 27 .
  • Feuverger , A. and Mureika , R.A. 1977 . The empirical characteristic function and its applications . The Annals of Statistics , 5 : 88 – 97 .
  • Hall , P. and Welsh , A.H. 1983 . A test for normality based on the empirical characteristic function . Biometrika , 70 : 485 – 489 .
  • Heathcote , C.R. 1972 . A test of goodness of fit for symmetric random variables . Australian Journal of Statistics , 14 : 172 – 181 .
  • Heathcote , C.R. 1977 . The integrated squared error estimation of parameters . Biometrika , 64 : 255 – 264 .
  • Hollander , M. and Wolfe , D.A. 1973 . Nonparametric Statistical Methods , New York : John Wiley .
  • Kim , P.J. and Jennrich , R.I. 1970 . “ Tables of the exact sampling distribution of the two-sample Kolmogorov-Smirnov criterionDm,n m<n ” . In Selected Tables in Mathematical Statistics I , Edited by: Harter , H.L. and Owen , D.B. 79 – 170 . Providence : R. I<n>.:<n>American Mathematical Society .
  • Koutrouvehs , I.A. 1980 . A goodness-of-fit test of simple hypotheses based on the empirical characteristic function . Biometrika , 67 : 238 – 240 .
  • Koutrouvehs , I.A. 1981 . Tests for normality in stable laws . Commun. Statist , A10 ( 6 ) : 581 – 595 .
  • Koutrouvehs , I.A. 1985 . Distribution-free procedures for location and symmetry inference problems based in the empirical characteristic function . Scand. J. Statist , 12 ( 6 ) : 257 – 269 .
  • Koutrouvehs , I.A. and Kellermeier , J. 1981 . A goodness-of-fit test based on the empirical characteristic function when parameters must be estimated . Journal of the Royal Statistical Society Ser. B , 43 ( 6 ) : 173 – 176 .
  • Lukacs , E. 1970 . Characteristic Functions , London : Charles Griffin .
  • Marcus , M.B. 1980 . Weak convergence of the empirical characteristic function . Annals of Probability , 9 : 194 – 201 .
  • Murota , K. and Takeuchi , K. 1981 . The studentized empirical characteristic function and its application to test for the shape of distribution . Biometrika , 68 : 55 – 65 .
  • Paulson , A.S. , Holcomb , E.W. and Leitch , R.A. 1975 . The estimation of the parameters of the stable laws . Biometrika , 62 : 163 – 170 .
  • Pettit , A.N. 1976 . A two-sample Anderson-Darling rank statistic . Biometrika , 63 : 136 – 137 .
  • Pettit , A.N. 1979 . Two sample Cramer-von Mises type rank statistics . Journal of the Royal Statistical Society Ser. B , 41 : 46 – 53 .
  • Rudin , W. 1966 . Real and Complex Analysis , New York : McGraw Hill .
  • Schmidt , P. 1982 . An improved version of the Quandt-Ramsey MGF estimator for mixtures of normal distributions and switching regressions . Econometrica , 50 : 501 – 516 .
  • Wood , C.L. and Altavela , M.M. 1978 . Large-sample results for Kolmogorov-Smirnov statistics for discrete distributions . Biometrika , 65 : 235 – 239 .

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