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Original Articles

On a Class of Tests of Exponentiality

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Pages 547-554 | Published online: 23 Mar 2012

REFERENCES

  • Barlow , R. E. and Proschan , F. 1975 . Statistical Theory of Reliability and Life Testing-Probability Models. New York : Holt, Rinehart and Winston. .
  • Bartholomew , D. J. 1957 . Testing for departure from the exponential distribution . Biometrika , 44 : 253 – 57 .
  • Bickel , P. J. and Doksum , K. A. 1969 . Tests for monotone failure rate based on normalized spacings . Ann. Math. Statist. , 40 : 1216 – 35 .
  • Darling , D. A. 1953 . On a class of problems related to the random division of an interval . Ann. Math. Statist. , 24 : 239 – 53 .
  • Durbin , J. 1975 . Kolmogorov-Smirnov tests when parameters are estimated with applications to tests of exponentiality and tests on spacings . Biometrika , 62 : 5 – 22 .
  • Epstein , B. 1960 . Tests for the validity of the assumption that the underlying distribution of life is exponential. I . Technometrics , 2 : 83 – 101 .
  • Gail , M. H. and Gastwirth , J. L. 1978 . A scale-free goodness-of-fit test for the exponential distribution based on the Gini statistic . J. Roy. Statist. Soc. , B-40 : 350 – 57 .
  • Greenwood , M. 1946 . The statistical study of infectious diseases . J. Roy. Statist. Soc. , 109 : 85 – 110 .
  • Jackson , O. A. Y. 1967 . An analysis of departures from the exponential distribution . J. Roy Statist. Soc. , B-29 : 540 – 49 .
  • Johnson , N. L. 1949 . Systems of frequency curves generated by methods of translation . Biometrika , 36 : 149 – 76 .
  • Johnson , N. L. 1965 . Tables to facilitate fitting Su frequency curves . Biometrika , 52 : 547 – 58 .
  • Kimball , B. F. 1947 . Some basic theorems for developing tests of fit for the case of nonparametric probability distribution functions . Ann. Math. Statist. , 18 : 540 – 48 .
  • Lee , S. C. S. 1978 . The use of U-statistics for testing exponentiality , Ph.D. dissertation Columbia , SC : Dept. of Math., Comp. Science and Statist., University of South Carolina. .
  • Lehmann , E. L. 1959 . Testing Statistical Hypotheses. New York : Wiley. .
  • Lewis , P. A. W. 1965 . Some results on tests for Poisson processes . Biometrika , 52 : 67 – 77 .
  • Lieblein , J. and Zelen , M. 1956 . Statistical investigation of the fatigue life of deep groove ball bearings . J. Res. National Bureau of Standards , 47 : 273 – 16 .
  • Moran , P. A. P. 1947 . The random division of an interval . Suppl. J. Roy. Statist. Soc. , 9 : 92 – 98 .
  • Moran , P. A. P. 1951 . The random division of an interval: II . J. Roy. Statist. Soc. , B-13 : 147 – 50 .
  • Pearson , E. S. and Hartley , H. O. 1969 . Biometrika Tables for Statisticians Vol. II , Cambridge : University Press. .
  • Rao , C. R. 1973 . Linear Statistical Inference and Its Applications, , 2nded. New York : Wiley. .
  • Seshadri , V. , CsöRgö , M. and Stephens , M. A. 1969 . Tests for the exponential distribution using Kolmogorov-type statistics . J. Roy. Statist. Soc. , B-31 : 499 – 509 .
  • Shapiro , S. S. and Wilk , M. B. 1972 . An analysis of variance test for the exponential distribution (complete samples) . Technometrics , 14 : 355 – 70 .
  • Stephens , M. A. 1974 . EDF statistics for goodness of fit and some comparisons . J. Amer. Statist. Assoc. , 69 : 730 – 7 .
  • Stephens , M. A. 1978 . On the W test for exponentiality with origin known . Technometrics , 20 : 33 – 35 .
  • Thoman , D. R. , Bain , L. J. and Antle , C. E. 1969 . Inferences on the parameters of the Weibull distribution . Technometrics , 11 : 445 – 60 .
  • Wang , Y. H. and Chang , S. A. 1977 . A new approach to the nonparametric tests of exponential distribution with unknown parameters Dept. of Math., Concordia University. . Technical Report

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