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Review Articles

A misspecification test for beta prime regression models

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Pages 4561-4574 | Received 05 Apr 2021, Accepted 17 Aug 2021, Published online: 08 Sep 2021

References

  • Bourguignon, M., M. Santos-Neto, and M. de Castro. 2021. A new regression model for positive random variables with skewed and long tail. Metron 79 (1):33–55. doi:10.1007/s40300-021-00203-y.
  • Canterle, D. R., and F. M. Bayer. 2015. Testes de especificação para a função de ligação em modelos lineares generalizados para dados binários. Ciência e Natura 37 (1):1–11. doi:10.5902/2179460X14203.
  • Cribari-Neto, F., and L. Lima. 2007. A misspecification test for beta regressions. Tech. rep., University Federal of Paraiba.
  • Godfrey, L. G. 1988. Misspecification tests in econometrics: The Lagrange Multiplier principle and other approaches. Cambridge: Cambridge University Press.
  • Godfrey, L. G., and C. D. Orme. 1994. The sensitivity of some general checks to omitted variables in the linear model. International Economic Review 35 (2):489–506. doi:10.2307/2527066.
  • Griffiths, W. E., R. C. Hill, and G. G. Judge. 1993. Learning and practicing econometrics. New York, USA: John Willey and Sons.
  • Horowitz, J. L. 1994. Bootstrap-based critical values for the information matrix test. Journal of Econometrics 61 (2):395–411. doi:10.1016/0304-4076(94)90092-2.
  • Keeping, E. S. 1962. Introduction to statistical inference. New Jersey: Dover Publications.
  • Mantalos, P., and G. Shukur. 2007. The robustness of the RESET test to non-normal error terms. Computational Economics 30 (4):393–408. doi:10.1007/s10614-007-9100-8.
  • McDonald, J. B. 1984. Some generalized functions for the size distribution of income. Econometrica 52 (3):647–63. doi:10.2307/1913469.
  • McDonald, J. B., and R. J. Butler. 1990. Regression models for positive random variables. Journal of Econometrics 43 (1-2):227–51. doi:10.1016/0304-4076(90)90118-D.
  • Nelder, J. A., and R. W. Wedderburn. 1972. Generalized linear models. Journal of the Royal Statistical Society: Series A (General) 135 (3):370–84. doi:10.2307/2344614.
  • Neyman, J., and E. S. Pearson. 1928. On the use and interpretation of certain test criteria for purposes of statistical inference: Part i. Biometrika 20A (1/2):175–240. doi:10.2307/2331945.
  • Oliveira, J. S. C. d. 2013. Detectando má especificação em regressão beta. Master’s thesis, Universidade Federal de Pernambuco.
  • Pereira, T. L., and F. Cribari-Neto. 2014. Detecting model misspecification in inflated beta regressions. Communications in Statistics - Simulation and Computation 43 (3):631–56. doi:10.1080/03610918.2012.712183.
  • Peters, S. 2000. On the use of the RESET test in microeconometric models. Applied Economics Letters 7 (6):361–5. doi:10.1080/135048500351285.
  • R Core Team 2019., R: A language and environment for statistical computing. R Foundation for Vienna, Austria: Statistical Computing,. https://www.R-project.org/.
  • Ramsey, J. B. 1969. Tests for specification errors in classical linear least-squares regression analysis. Journal of the Royal Statistical Society: Series B (Methodological) 31 (2):350–71. doi:10.1111/j.2517-6161.1969.tb00796.x.
  • Ramsey, J., and R. Gilbert. 1972. A Monte Carlo study of some small sample properties of tests for specification error. Journal of the American Statistical Association 67 (337):180–6. doi:10.1080/01621459.1972.10481223.
  • Rao, C. R. 1948. Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation. In Mathematical Proceedings of the Cambridge Philosophical Society, vol. 44, pp. 50–57. Cambridge University Press.
  • Ryan, B. F., and B. L. Joiner. 1994. Minitab handbook. Belmont: Duxbury Press.
  • Santos, J., and F. Cribari-Neto. 2017. Hypothesis testing in log-Birnbaum-Saunders regressions. Communications in Statistics-Simulation and Computation 46 (5):3990–4003.
  • Sapra, S, et al. 2005. A regression error specification test (RESET) for generalized linear models. Economics Bulletin 3 (1):1–6.
  • Shukur, G., and D. Edgerton. 2002. The small sample properties of the reset test as applied to systems of equations. Journal of Statistical Computation and Simulation 72 (12):909–24. doi:10.1080/00949650214678.
  • Stasinopoulos, M., M. Enea, and R. Rigby. 2017. Zero adjusted distributions on the positive real line. URL http://www.gamlss.com/wp-content/uploads/2018/01/ZeroAdjustedDistributions.pdf
  • Terrell, G. R. 2002. The gradient statistic. Computing Science and Statistics 34 (34):206–15.
  • Thursby, J. G., and P. Schmidt. 1977. Some properties of tests for specification error in a linear regression model. Journal of the American Statistical Association 72 (359):635–41. doi:10.1080/01621459.1977.10480627.
  • Tulupyev, A., A. Suvorova, J. Sousa, and D. Zelterman. 2013. Beta prime regression with application to risky behavior frequency screening. Statistics in Medicine 32 (23):4044–56. doi:10.1002/sim.5820.
  • Vargas, T. M., S. L. Ferrari, and A. J. Lemonte. 2014. Improved likelihood inference in generalized linear models. Computational Statistics & Data Analysis 74:110–24. doi:10.1016/j.csda.2013.12.002.
  • Wald, A. 1943. Tests of statistical hypotheses concerning several parameters when the number of observations is large. Transactions of the American Mathematical Society 54 (3):426–82. doi:10.1090/S0002-9947-1943-0012401-3.

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