maxLik: A package for maximum likelihood estimation in R

Abstract

This paper describes the package maxLik for the statistical environment R. The package is essentially a unified wrapper interface to various optimization routines, offering easy access to likelihood-specific features like standard errors or information matrix equality (BHHH method). More advanced features of the optimization algorithms, such as forcing the value of a particular parameter to be fixed, are also supported.

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

References

  1. Ardia D, Mullen K (2010) DEoptim: global optimization by differential evolution. http://CRAN.R-project.org/package=DEoptim. R package version 2.0–4

  2. Bélisle CJP (1992) Convergence theorems for a class of simulated annealing algorithms on Rd. J Appl Probab 29: 885–895

    MathSciNet  MATH  Article  Google Scholar 

  3. Berndt EK, Hall BH, Hall RE, Hausman JA (1974) Estimation and inference in nonlinear structural models. Annalysis Soc Meas 3(4): 653–665

    Google Scholar 

  4. Bolker B (2009) bbmle: Tools for general maximum likelihood estimation. http://CRAN.R-project.org/package=bbmle. R package version 0.9.3

  5. Broyden CG (1970) The convergence of a class of double-rank minimization algorithms. J Inst Math Appl 6: 76–90

    MathSciNet  MATH  Article  Google Scholar 

  6. Calzolari G, Fiorentini G (1993) Alternative covariance estimators of the standard tobit model. Econ Lett 42(1): 5–13

    MATH  Article  Google Scholar 

  7. Carlevaro F, Croissant Y, Hoareau S (2010) mhurdle: estimation of models with limited dependent variables. R package version 0.1. http://CRAN.R-project.org/package=mhurdle

  8. Croissant Y (2009) truncreg: truncated regression models. http://CRAN.R-project.org/package=truncreg. R package version 0.1

  9. Croissant Y (2010) pglm: panel generalized linear model. R package version 0.1. http://CRAN.R-project.org/package=pglm

  10. Fletcher R (1970) A new approach to variable metric algorithms. Comput J 13: 317–322

    MATH  Article  Google Scholar 

  11. Gay DM (1990) Usage summary for selected optimization routines. Computing science technical report 153, AT&T Bell Laboratories. http://netlib.bell-labs.com/cm/cs/cstr/153.pdf

  12. Goldfarb D (1970) A family of variable metric updates derived by variational means. Math Comput 24: 23–26

    MathSciNet  MATH  Article  Google Scholar 

  13. Greene WH (2008) Econometric analysis. 6. Prentice Hall, Englewood Cliffs

    Google Scholar 

  14. Henningsen A (2010) censReg: censored regression (Tobit) models. R package version 0.5. http://CRAN.R-project.org/package=censReg

  15. Henningsen A, Toomet O (2010) miscTools: miscellanneous small tools and utilities. R package version 0.6. http://cran.r-project.org/package=miscTools

  16. Nelder JA, Mead R (1965) A simplex algorithm for function minimization. Comput J 7: 308–313

    MATH  Google Scholar 

  17. Nielsen HB, Mortensen SB (2009) ucminf: general-purpose unconstrained non-linear optimization. http://CRAN.R-project.org/package=ucminf. R package version 1.0

  18. R Development Core Team (2009) R: A language and environment for statistical computing. R foundation for statistical computing. Vienna, Austria. http://www.R-project.org, ISBN 3-900051-07-0

  19. Sevcikova H, Raftery A (2010) mlogitBMA: Bayesian Model Averaging for Multinomial Logit Models. http://CRAN.R-project.org/package=mlogitBMA. R package version 0.1-2

  20. Shanno DF (1970) Conditioning of quasi-newton methods for function minimization. Math Comput 24: 647–656

    MathSciNet  Article  Google Scholar 

  21. Toomet O, Henningsen A (2008) Sample selection models in R: package sampleSelection. J Stat Softw 27(7):1–23. http://www.jstatsoft.org/v27/i07/

    Google Scholar 

  22. Toomet O, Henningsen A (2010) maxLik: tools for maximum likelihood estimation. R package version 1.0. http://CRAN.R-project.org/package=maxLik

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to Arne Henningsen.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Henningsen, A., Toomet, O. maxLik: A package for maximum likelihood estimation in R . Comput Stat 26, 443–458 (2011). https://doi.org/10.1007/s00180-010-0217-1

Download citation

Keywords

  • Maximum likelihood
  • Optimization

JEL Classification

  • C87