References
- Cordeiro, G. M., E. C. D. Rocha, J. G. C. D. Rocha, and F. Cribari-Neto. 1997. Bias-corrected maximum likelihood estimation for the Beta distribution. Journal of Statistical Computation and Simulation 58 (1):21–35.
- Cox, D. R., and E. J. Snell. 1968. A general definition of residuals. Journal of the Royal Statistical Society, Series B. 30 (2):248-75.
- Cribari-Neto, F., and K. L. P. Vasconcellos. 2002. Nearly unbiased maximum likelihood estimation for the Beta distribution. Journal of Statistical Computation and Simulation 72 (2):107–18.
- Doornik, J. A. 2007. Object-oriented matrix programming using Ox. 3rd ed. London: Timberlake Consultants Press and Oxford.
- Dumonceaux, R., and C. E. Antle. 1973. Discrimination between the Log-Normal and the Weibull distributions. Technometrics 15 (4):923–6.
- Efron, B. 1982. The Jackknife, the Bootstrap andother resampling plans. Vol. 38. Philadelphia, PA, USA: SIAM.
- Ferrari, S. L., and F. Cribari-Neto. 1998. On Bootstrap and analytical bias corrections. Economics Letters 58 (1):7–15.
- Firth, D. 1993. Bias reduction of maximum likelihood estimates. Biometrika 80 (1):27–38.
- Giles, D. E. 2012a. Bias reduction for the maximum likelihood estimators of the parameters in the Half-Logistic distribution. Communication in Statistics—Theory and Methods 41 (2):212–22.
- Giles, D. E. 2012b. A note on improved estimation for the Topp–Leone distribution. Tech. rep., Department of Economics, University of Victoria, Econometrics Working Papers.
- Giles, D. E., and H. Feng. 2009. Bias of the maximum likelihood estimators of the two-parameter Gamma distribution revisited. Tech. rep., Department of Economics, University of Victoria, Econometrics Working Papers.
- Giles, D. E., H. Feng, and R. T. Godwin. 2013. On the bias of the maximum likelihood estimator for the two-parameter Lomax distribution. Communications in Statistics—Theory and Methods 42 (11):1934–50.
- Grassia, A. 1977. On a family of distributions with argument between 0 and 1 obtained by transformation of the Gamma distribution and derived compound distributions. Australian Journal of Statistics 19 (2):108–14.
- Kay, S. 1995. Asymptotic maximum likelihood estimator performance for chaotic signals in noise. IEEE Transactions on Signal Processing 43 (4):1009–12.
- Lagos-Àlvarez, B., M. D. Jiménez-Gamero, and V. Alba-Fernández. 2011. Bias correction in the Type I Generalized Logistic distribution. Communications in Statistics - Simulation and Computation 40 (4):511–31.
- Lemonte, A. J. 2011. Improved point estimation for the Kumaraswamy distribution. Journal of Statistical Computation and Simulation 81 (12):1971–82.
- Lemonte, A. J., F. Cribari-Neto, and K. L. Vasconcellos. 2007. Improved statistical inference for the two-parameter Birnbaum-Saunders distribution. Computational Statistics & Data Analysis 51 (9):4656–81.
- Ling, X., and D. E. Giles. 2014. Bias reduction for the maximum likelihood estimator of the parameters of the generalized Rayleigh family of distributions. Communications in Statistics - Theory and Methods 43 (8):1778–92.
- Mazucheli, J., and S. Dey. 2017. Bias-corrected maximum likelihood estimation of the parameters of the generalized Half-Normaldistribution. submitted to Journal of Statistical Computation and Simulation.
- Millar, R. B. 2011. Maximum likelihood estimation and inference. Chichester, West Sussex, United Kingdom: John Wiley & Sons, Ltd.
- Pawitan, Y. 2001. In all likelihood: statistical modelling and inference using likelihood. Oxford: Oxford University Press.
- R Core Team. 2017. R: a language and environment for statistical computing. Vienna: R Foundation for Statistical Computing. ISBN 3-900051-07-0.
- Ratnaparkhl, M. V., J. E. Mosimann. 1990. On the normality of transformed Beta and unit-Gamma random variables. Communications in Statistics - Theory and Methods 19 (10):3833–54.
- Reath, J. 2016. Improved parameter estimation of the log-logistic distribution with applications. PhD. thesis, Michigan Technological University.
- Saha, K., and S. Paul. 2005. Bias-corrected maximum likelihood estimator of the negative Binomial dispersion parameter. Biometrics 61 (1):179–85.
- Schwartz, J., and D. E. Giles. 2016. Bias-reduced maximum likelihood estimation of the zero-inflated Poisson distribution. Communications in Statistics - Theory and Methods 45 (2):465–78.
- Schwartz, J., R. T. Godwin, and D. E. Giles. 2013. Improved maximum-likelihood estimation of the shape parameter in the Nakagami distribution. Journal of Statistical Computation and Simulation 83 (3):434–45.
- Singh, A. K., A. Singh, and D. J. Murphy. 2015. On bias corrected estimators of the two parameter Gamma distribution. In 12th International Conferenceon Information Technology - New Generations (ITNG), 2015, 127–32.
- Tadikamalla, P. R. 1981. On a family of distributions obtained by the transformation of the Gamma distribution. Journal of Statistical Computation and Simulation 13 (3–4):209–14.
- Teimouri, M., and S. Nadarajah. 2013. Bias corrected MLEs for the Weibull distribution based on records. Statistical Methodology 13:12–24.
- Teimouri, M., and S. Nadarajah. 2016. Bias corrected MLEs under progressive type-II censoring scheme. Journal of Statistical Computation and Simulation 86 (14):2714–26.
- Wang, M., and W. Wang. 2017. Bias-corrected maximum likelihood estimation of the parameters of the weighted Lindley distribution. Communications in Statistics - Theory and Methods 46 (1):530–45.
- Zhang, G., and R. Liu. 2015. Bias-corrected estimators of scalar skew Normal. Communications in Statistics - Simulation and Computation 46 (2):831–9.