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Original Articles

Generalised K-S confidence regions: some exact results

Pages 9-23 | Received 15 Apr 1985, Published online: 20 Mar 2007

References

  • Anderson , T.W. and Darling , D.A. 1952 . Asymptotic theory of certain “goodness of fit” criteria based on stochastic processes . Annals of Mathematical Statistics , 23 : 193 – 212 .
  • Arsham , H. 1982 . “ Poisson process approximation of confidence regions for distribution functions based upon generalized K-S statistics ” . The George Washington University . D.Sc, dissertation
  • Arsham , H. and Miller , D.R. 1985 . A Poisson process approximation for generalized K-S confidence region . Statistica Neerlandica , 30 : 291 – 302 .
  • Canner , P.L. 1975 . A simulation study of one and two sided Kolmogorov-Smirnov statistics with a particular weight function . Journal of the American Statistical Association , 70 : 209 – 211 .
  • Dempster , A. 1959 . Generalized statistics . Annals of Mathematical Statistics , 30 : 593 – 597 .
  • Dufour , R. and Maag , U.R. 1978 . Distribution results for modified Kolmogorov-Smirnov statistics for truncated or censored samples . Technometrics , 20 : 29 – 32 .
  • Durbin , J. 1971 . Boundary crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of Kolmogorov-Smirnov test . J. Appl. Probability , 8 : 431 – 453 .
  • Durbin , J. 1973 . Distribution theory for tests based on the sample-distribution function,Regional Conference Series in Applied Mathematics . SIAM ,
  • Dwass , M. 1959 . The distribution of a generalized statistic . Annals of Mathematical Statistics , 30 : 1024 – 1028 .
  • Manija , G.M. 1949 . Kolmogorov fur dieAbschatzung eines Verteilungsgesetzes nach empirischen daten . Doklady Akademii Nauk SSSR , 69 : 495 – 497 .
  • Mason , D.M. and Schuenemeyer , J.H. 1983 . A modified Kolmogorov-Smirnov test sensitive to tail alternatives . Annals of Statistics , 11 : 933 – 946 .
  • Pyke , R. 1959 . The supremum and infimum of the Poisson process . Annals of Mathematical Statistics , 30 : 568 – 576 .
  • Tang , S. 1962 . Some theorems on the ratio of empirical distribution to the theoretical distribution . Pacific Journal of Mathematics , 12 : 1107 – 1114 .

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