Skip to main content
Log in

Small sample properties of generalized logit model estimators with bootstrap

  • Published:
Korean Journal of Computational & Applied Mathematics Aims and scope Submit manuscript

Abstract

The generalized logit model of nominal type with random regressors is studied for bootstrapping. We assess the accuracy of some estimators for our generalized logit model, using a Monte Carlo simulation. That is, we study the finite sample properties containing the consistency and asymptotic normality of the maximum likelihood estimators. Also, we compare Newton Raphson algorithm with BHHH algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aldrich J.H. and Nelson F.D.,Linear Probability, Logit, and Probit Models, Sage Publications,Inc., 1984.

  2. Berndt E.R., Hall. B.H., Hall. R.E., and Hausman J.A.,Estimation and Inference in Non-linear Structural Models, Annals of Economic and Social Measurement3 (1974), 653–665.

    Google Scholar 

  3. Cho J.J. and Han J.H.,Statistical Estimation for Generalized Logit Model of Nominal type with Bootstrap Method, Journal of the Korean Statistical Society24 (1) (1995), 1–18.

    MathSciNet  Google Scholar 

  4. Fahrmeir L. and Kaufmann H.,Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in Generalized Linear models, Annals of Statistics13 (1985), 342–368.

    Article  MATH  MathSciNet  Google Scholar 

  5. Griffiths W.E., Hill R.C. and Pope P.J.,Small Sample Properties of Probit Model Estimators, Journal of the American Statistical Association82 (1987), 927–937.

    Article  MathSciNet  Google Scholar 

  6. Hosmer D.W. and Lemeshow S.,Applied Logistic Regression, John Wiley and Sons, Inc., 1989.

  7. Lee K.W.,Bootstrapping Logistic Regression Models with Random Regressors, Communications in Statistics, Theory and Methods19 (7) (1990), 2527–2539.

    Article  MATH  MathSciNet  Google Scholar 

  8. Lee K.W. Kim C.R. Sohn K.T. and Jeong K.M.,Bootstrapping Generalized Linear Models with Random Regressors, Journal of the Korean Statistical Society21 (1) (1992), 70–79.

    MathSciNet  Google Scholar 

  9. McCullagh P. and Nelder J.A.,Generalized Linear Models, 2nd, Chapman and Hall, London, 1989.

    MATH  Google Scholar 

  10. Wijesinha A., Begg C.B., Funkenstein H. H. and Mcneil B.J.,Methodology for the differential diagnosis of a complex data-set: A case study data from routine CT-scan examination, Medical Decision Making3 (1983), 133–154.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, P.K., Kim, J.H. & Cho, J.J. Small sample properties of generalized logit model estimators with bootstrap. Korean J. Com. & Appl. Math. 3, 253–263 (1996). https://doi.org/10.1007/BF03008906

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03008906

AMS Mathematics Subject Classification

Navigation