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Original Articles

Finite-Sample Properties of the Maximum Likelihood Estimator for the Poisson Regression Model With Random Covariates

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Pages 1000-1014 | Received 02 Sep 2009, Accepted 23 Nov 2009, Published online: 23 Dec 2010

References

  • Bancroft , T. A. ( 1944 ). On biases in estimation due to the use of preliminary tests of significance . Ann. Mathemat. Statist. 15 : 190 – 204 .
  • Bao , Y. , Ullah , A. ( 2007 ). The second-order bias and mean squared error of estimators in time-series models . J. Econometrics 140 : 650 – 669 .
  • Brännäs , K. ( 1992 ). Finite sample properties of estimators and tests in Poisson regression models . J. Statist. Computat. Simul. 41 : 229 – 241 .
  • Brännäs , K. , Johansson , P. ( 1994 ). Time series count data regression . Commun. Statist. Theo. Meth. 23 : 2907 – 2925 .
  • Breslow , N. ( 1990 ). Tests of hypotheses in over-dispersed Poisson regression and other quasi-likelihood models . J. Amer. Statist. Assoc. 85 : 565 – 571 .
  • Cameron , A. C. , Trivedi , P. K. ( 1986 ). Econometric models based on count data: comparisons and applications of some estimators and tests . J. Appl. Econometrics 1 : 29 – 53 .
  • Chen , Q. , Giles , D. E. ( 2010 ). The finite sample properties of the maximum likelihood estimator for the binary logit model with random covariates . Statist. Papers . In press .
  • Cohen , A. ( 1965 ). Estimates of the linear combinations of parameters in the mean vector of a multivariate distribution . Ann. Mathemat. Statist. 36 : 299 – 304
  • De Bruijn , N. G. ( 1961 ). Asymptotic Methods in Analysis . Amsterdam : North-Holland .
  • Giles , J. A. , Giles , D. E. A. ( 1993 ). Pre-test estimation and testing in econometrics: recent developments . J. Econ. Sur. 7 : 145 – 197 .
  • Giles , D. E. A. , Srivastava , V. K. ( 1993 ). The exact distribution of a least squares regression coefficient estimator after a preliminary t-test . Statist. Probab. Lett. 16 : 59 – 64 .
  • Gourieroux , C. , Monfort , A. , Trognon , A. ( 1984 ). Pseudo maximum likelihood methods: applications to Poisson models . Econometrica 52 : 701 – 720 .
  • King , G. ( 1988 ). Statistical models for political science event counts: bias in conventional procedures and evidence for the exponential Poisson model . Amer. J. Polit. Sci. 32 : 838 – 863 .
  • Olver , F. W. J. ( 1974 ). Asymptotics and Special Functions . New York : Academic Press .
  • R. (2008). The R Project for Statistical Computing, http://www.r-project.org
  • Rilstone , P. , Srivatsava , V. K. , Ullah , A. ( 1996 ). The second order bias and MSE of nonlinear estimators . J. Econometrics 75 : 369 – 395 .
  • Rilstone , P. , Ullah , A. ( 2002 ). Sampling bias in Heckman's sample selection estimator . In: Chaubey , Y. P. , Ed. Recent Advances in Statistical Methods . Hackensack , NJ : World Scientific .
  • Rilstone , P. , Ullah , A. ( 2005 ). Corrigendum to: the second order bias and mean squared error of non-linear estimators . J. Econometrics 124 : 203 – 204 .
  • Ullah , A. ( 2004 ). Finite Sample Econometrics . Oxford : Oxford University Press .

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