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Original Articles

A doubly restricted exponential dispersion model

, , &
Pages 2827-2841 | Received 11 Jul 2017, Accepted 22 Apr 2018, Published online: 22 Nov 2018

References

  • Agresti, A. 2015. Foundations of linear and generalized linear models. Hoboken, NJ: John Wiley & Sons.
  • Basu, D. 1977. On the elimination of nuisance parameters. Journal American Statistical Association 72 (358):355–66.
  • Bayer, F., and F. Cribari-Neto. 2017. Model selection criteria in beta regression with varying dispersion. Communication in Statistics–Simulation and Computation 46 (1):729–46.
  • Branscum, A., W. Johnson, and M. Thurmond. 2007. Bayesian beta regression: Applications to household expenditure data and genetic distance between foot-and-mooth disease virus. Australian and New Zealand Journal of Statistics 49 (3):287–301.
  • Cepeda, E. 2001. Modelagem da variabilidade em modelos lineares generalizados. PhD Thesis, Universidade Federal do Rio de Janeiro, Brasil. http://www.bdigital.unal.edu.co/9394/
  • Cordeiro, G. M., and C. G. B. Demétrio. 2013. Modelos lineares generalizados e extensões. Sao Paulo. http://pointer.esalq.usp.br/departamentos/lce/arquivos/aulas/2013/LCE5868/livro.pdf
  • Cribari-Neto, F., and A. Zeileis. 2010. Beta regression in R. Journal of Statistical Software 34 (2):1–24.
  • Espinheira, P. L., S. L. P. Ferrari, and F. Cribari-Neto. 2008a. Influence diagnostics in beta regression. Computational Statistics & Data Analysis 52 (9):4417–31.
  • Espinheira, P. L., S. L. P. Ferrari, and F. Cribari-Neto. 2008b. On beta regression residuals. Journal of Applied Statistics 35 (4):407–19.
  • Ferrari, S. L. P., and F. Cribari-Neto. 2004. Beta regression for modeling rates and proportions. Journal of Applied Statistics 31(7):799–815.
  • Gourieroux, C., and A. Monfort. 1989. Statistics and econometric models. Vol.1. New York: Cambridge University Press.
  • Grajales, L. F. 2015. Estimation and Inference for 2k−p experiments with beta response. PhD thesis statistics, Universidad Nacional de Colombia, Bogotá, Colombia. http://www.bdigital.unal.edu.co/47222/1/70560939.2015.pdf
  • Henderson, H., and S. Searle. 1981. On deriving the inverse of a sum of matrices. SIAM Review 23 (1):53–60.
  • Jorgensen, B. 1987. Exponential dispersion models. Journal of the Royal Statistical Society. Series B (Methodological) 49 (2):127–62.
  • McCullagh, P., and J. A. Nelder. 1989. Generalized linear models. 2nd ed. New York: Chapman and Hall.
  • Nelder, J. A., and R. M. Wedderburn. 1972. Generalized linear models. Journal of the Royal Statistical Society, Series A 135:370–84.
  • Nyquist, A. 1991. Restricted estimation of generalized linear models. Journal of the Royal Statistical Society, Series C 40 (1):133–41.
  • Ospina, P. L. E. 2007. Regressão beta. Doctoral thesis, Instituto de Matemática e Estatística, University of São Paulo, São Paulo. www.teses.usp.br (accessed June 26, 2017).
  • Prater, N. H. 1956. Estimate gasoline yields from crudes. Petroleum Refiner 35 (5):236–38.
  • R Core Team. 2018. R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. http://www.R-project.org/.
  • Ravishanker, N., and D. K. Dey. 2002. A first course in linear model theory. New York: Chapman and Hall.
  • Shao, J. 2003. Mathematical statistics. New York: Springer.
  • Smyth, G. K., and J. Verbyla. 1999. Adjusted likelihood methods for modelling dispersion in generalized linear models. Environmetrics 10 (6):695–709.

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