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Original Articles

Smooth tests of goodness of fit for regular distributions

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Pages 3235-3267 | Received 01 Aug 1987, Published online: 27 Jun 2007

Bibliography

  • Abramowitz , A. and Stegun , L.A. 1972 . Handbook of Mathematical Functions , New York : Dover Publications .
  • Aroian , L.A. 1937 . The type B Gram-Charlier series . Annals of Mathematical Statistics , 8 : 183 – 192 .
  • Bargal , A.I. 1988 . Smooth tests of fit for censored gamma samples . Communications in Statistics-Theory and Methods , 15 : 537 – 549 .
  • Barton , D.E. 1953 . On Neyman's smooth test of goodness of fit and its power with respect to a particular system of alternatives . Skandinavisk Aktuarietidskrift , 36 : 24 – 63 .
  • Bennett , B.M. and Birch , J.B. 1974 . On the small sample distributions and power of the log likelihood ratio and variance tests for the Poisson . Journal of Statistical Computing and Simulation , 3 : 33 – 40 .
  • Bera , A. and John , S. 1983 . Tests for multivariate normality with Pearson alternatives . Communications in Statistics-Theoru and Methods , 12 : 103 – 117 .
  • Best , D.J. and Rayner , J.C.W. 1985 . Lancaster's test of normality . Journal of Statistical Planning and Inference , 12 : 395 – 400 .
  • Best , D.J. and Rayner , J.C.W. 1988 . A test for bivariate normality , Statistics & Probability Letters .
  • Bowman , K.O. and Shenton , L.R. 1983 . Maximum likelihood estimators for the gamma distribution revisited . Journal of Statistical Computing and Simulation , 12 : 697 – 710 .
  • Campbell , D.B. and Oprian , C.L. 1979 . On the Kolmogorov-Smirnov test for the poisson distribution with unknown mean . Biometrical Journal , 21 : 17 – 24 .
  • Csorgo , S. 1986 . Testing for normality in arbitrary dimension . Annals of Statistics , 14 : 708 – 723 .
  • Cox , D.R. and Hinkiey , D.V. 1974 . Theoretical Statistics , London : Chapman and Hall .
  • Cox , D.R. and Small , N.J.H. 1978 . Testing multivariate normality . Biometrika , 65 : 263 – 272 .
  • Gart , J.J. 1975 . The Poisson distribution: the theory and application of some conditional tests . In G.P. Patil et al , 2 : 125 – 140 .
  • Gbur , E.E. 1981 . On the Poisson index of dispersion . Communications in Statistics - Part B , B10 : 531 – 535 .
  • Gnanadesikan , R. 1977 . Methods for Statistical Data Analysis of Multivariate Observations , New York : Wiley .
  • Greenwood , M. 1946 . The statistical study of infectious diseases . Journal Roual Statistical Society , 109 : 85 – 110 .
  • Haight , F.A. 1967 . Handbook of the Poisson Distribution , New York : Wiley .
  • Hoaglin , D.C. 1980 . A Poissoness plot . The American Statistician , 34 : 146 – 149 .
  • Johnson , N.L. and Kotz , S. 1969 . Discrete Distributions , Boston : Houghton Mifflin .
  • Kendall , M.G. and Stuart , G. 1977 . The Advanced Theory of Statistics , 1
  • Kopecky , K.J. and Pierce , D.A. 1979 . Efficiency of smooth goodness of fit test . Journal of the American Statistical Association , 74 : 393 – 397 .
  • Koziol , J.A. 1986 . Assessing muitivariate normality: a compendium . Communications in Statistics-Theory and Methods , 15 : 2763 – 2783 .
  • Lehmann , E.L. 1988 . Testing Statistical Hypotheses , New York : Wiley .
  • Machado , S.G. 1983 . Two statistics for testing muitivariate normality . Biometrika , 70 : 713 – 718 .
  • Mardia , K.V. 1980 . Tests of univariate and muitivariate normality . Handbook of Statistics , 1 : 279 – 320 .
  • Mardia , K.V. and Foster , K. 1983 . Omnibus tests of multinormality based on skewness and kurtosis . Communications in Statistics-Theory and Methods , 12 : 207 – 221 .
  • Neyman , J. 1937 . Smooth tests for goodness of fit . Skandinavisk Aktuahetidskrift , 20 : 150 – 159 .
  • Pearson , K. 1900 . On the criterion that a given system of deviations from the probabie in the case of a correlated system of variables is such that can be reasonably supposed to have risen from random sampling . Philosophical Magazine , 50 : 157 – 175 .
  • Rayner , J.C.W. and Dj , Best . 1986 . Neyman-type smooth tests for location-scale families . Biometrika , 73 : 437 – 446 .
  • Rayner , J.C.W. and Dj , Best . 1988a . Goodness of fit for the geometric distribution . Biometrical Journal , 73
  • Rayner , J.C.W. and Dj , Best . 1988b . Smooth Tests of Goodness of Fit , New York : Oxford University Press .
  • Rayner , J.C.W. and Mclntyre , R.J. 1984 . Use of the score statistic for testing goodness-of-fit of some generalised distributions . Biometrical Journal , 27 : 159 – 166 .
  • Selby , B. 1965 . The index of dispersion as a test statistic . Biometrika , 52 : 159 – 166 .
  • Srivastava , M.S. and Hui , T.K. 1987 . On assessing muitivariate normality based on Shapiro-Wilk W statistic . Statistics & Probability Letters , 5 : 15 – 18 .
  • Svensson , A. 1985 . On X2test of goodness-of-fit for a class of discrete muitivariate models . Statistics and Probability Letters , 3 : 331 – 336 .
  • Szego , G. 1959 . Orthogonal Polynomials , New York : American Mathematical Society .
  • Tarone , R.E. 1979 . Testing the goodness of fit of the binomial distribution . Biometrika , 66 : 585 – 590 .
  • Thomas , D.R. and Pierce , D.A. 1979 . Neyman's smooth goodftess-of-fit test when the hypothesis is composite . Journal of the American Statistical Association , 74 : 441 – 445 .
  • Vit , P. 1974 . Testing for homogeneity; the geometric distribution . Biometrika , 61 : 545 – 562 .

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