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Original Articles

ASSESSING GOODNESS OF FIT FOR POISSON AND NEGATIVE BINOMIAL MODELS WITH LOW MEAN

Pages 1977-2001 | Published online: 15 Feb 2007

REFERENCES

  • Maycock , G. and Hall , R.D. 1984 . “ Accidents at 4-Arm Roundabouts ” . In TRRL Laboratory Report #1120 Crowthorne, Berkshire, , England : U.K. Transport and Road Research Laboratory .
  • Hauer , E. , Ng , J.C.N. and Lovell , J. 1988 . Estimation of Safety at Signalized Intersections . Transport. Res. Rec. , 1185 : 48 – 61 .
  • Maher , M.J. and Summersgill , I. 1996 . A Comprehensive Methodology for the Fitting of Predictive Accident Models . Accid. Anal. Prevent. , 28 : 281 – 296 .
  • Baringhaus , L. and Henze , N. 1992 . A Goodness of Fit Test for the Poisson Distribution Based on the Empirical Generating Function . Statist. Probab. Lett. , 13 : 269 – 274 .
  • Collings , B.J. and Margolin , B.H. 1985 . Testing Goodness of Fit for the Poisson Assumption when Observations are not Identically Distributed . J. Am. Statist. Assoc. , 80 : 411 – 418 .
  • Kim , B.S. and Park , C. 1992 . Some Remarks on Testing Goodness of Fit for the Poisson Assumption . Commun. Statist.—Theor. Meth. , 21 : 979 – 995 .
  • Kocherlakota , S. and Kocherlakota , K. 1986 . Goodness of Fit Tests for Discrete Distributions . Commun. Statist.—Theor. Meth. , 15 : 815 – 829 .
  • Read , T.R.C. and Cressie , N.A.C. 1988 . Goodness-of-Fit Statistics for Discrete Multivariate Data , Springer Series in Statistics New York : Springer .
  • Sukhatme , P.V. 1938 . On the Distribution of χ2 in Samples of the Poisson Series . J. Royal Statist. Soc. B , 5 : 75 – 79 .
  • McCullagh , P. 1985 . On the Asymptotic Distribution of Pearson's Statistic in Linear Exponential-Family Models . Int. Statist. Rev. , 53 : 61 – 67 .
  • Farrington , C.P. 1996 . On Assessing Goodness of Fit of Generalized Linear Models to Sparse Data . J. Royal Statist. Soc. B , 58 : 349 – 360 .
  • Forster , J.J. , McDonald , J.W. and Smith , P.W.F. 1996 . Monte Carlo Exact Conditional Tests for Log-linear and Logistic Models . J. Royal Statist. Soc. B , 58 : 445 – 453 .
  • Ord , J.K. 1967 . Graphical Methods for a Class of Discrete Distributions . J. Royal Statist. Soc. A , 130 : 232 – 238 .
  • Hoaglin , D.C. 1980 . Poissonness plot . Am. Statist. , 34 : 146 – 149 .
  • Hosmer , D.W. and Lemeshow , S. 1980 . A Goodness-of-Fit Test for the Multiple Logistic Regression Model . Commun. Statist.—Theor. Meth. , 10 : 1043 – 1069 .
  • Tsiatis , A.A. 1980 . A Note on a Goodness-of-Fit Test for the Logistic Regression Model . Biometrika , 67 : 250 – 251 .
  • McCullagh , P. and Nelder , J.A. 1989 . Generalised Linear Models, , 2nd Ed. London, New York : Chapman and Hall .
  • Dobson , A.J. 1990 . An Introduction to Generalized Linear Models London : Chapman and Hall .

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