422
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

A new skew-bimodal distribution with applications

, &
Pages 2950-2968 | Received 21 Dec 2016, Accepted 13 Jun 2017, Published online: 13 Oct 2017

References

  • Alexander, C., G. M. Cordeiro, E. M. M. Ortega, and J. M. Sarabia. 2012. Generalized beta-generated distributions. Computational Statistics and Data Analysis 56:1880–89.
  • Arnold, B. C., H. W. Gómez, and H. S. Salinas. 2015. A doubly skewed normal distribution. Statistics 49:842–58.
  • Atkinson, A. C. 1985. Plots, transformations and regression: An introduction to graphical methods of diagnostics regression analysis. 2nd ed. Oxford: Clarendon Press.
  • Azzalini, A. 1985. A class of distributions which includes the normal ones. Scandinavian Journal of Statistics 12:171–8.
  • Azzalini, A., and A. Capitanio. 1999. Statistical application of the multivariate skew normal distribution. Journal of the Royal Statistical Society 61:579–602.
  • Braga, A. S., G. M. Cordeiro, E. M. M. Ortega, and J. N. da Cruz. 2016. The odd log-logistic normal distribution: Theory and applications in analysis os experiments. Journal of Statistical Theory and Practice 10:311–35.
  • Bourguignon, M., B. S. Rodrigo, and G. M. Cordeiro. 2014. The Weibull-G family of probability distributions. Journal of Data Science 12:53–68.
  • Box, G., and D. R. Cox. 1964. An analysis of transformations. Journal of the Royal Society 26:211–52.
  • Cahoy, D. O. 2015. Some skew-symmetric distributions which include the bimodal ones. Communications in Statistics—Theory and Methods 44:554–63.
  • Castellares, F., G. M. Cordeiro, M. C. Santos, and L. C. Montenegro. 2012. A power series expansion for the skew normal distribution function. Journal of Applied Probability and Statistics 7:1–17.
  • Cordeiro, G. M., R. J. Cintra, L. C. Rêgo, and E. M. M. Ortega. 2012. The McDonald Normal Distribution. Pakistan Journal of Statistics and Operation Research 8:301–29.
  • Cordeiro, G. M., A. Morad, and E. M. M. Ortega. 2014a. The exponentiated half-logistic family of distributions: Properties and applications. Journal of Probability and Statistics 1:1–21.
  • Cordeiro, G. M., E. M. Ortega, B. V. Popovic, and R. R. Pescim. 2014b. The Lomax generator of distributions: Properties, minification process and regression model. Applied Mathematics and Computation 247:465–86.
  • Cordeiro, G. M., and M. de Castro. 2011. A New family of generalized distribution. Journal of Statistical Computation and Simulation 81:883–93.
  • Cysneiros, F. J. A., G. A. Paula, and M. Galea. 2007. Heteroscedastic symmetrical linear models. Statistics and Probability Letters 77:1084–90.
  • Dunn, P. K., and G. K. Smyth. 1996. Randomized quantile residuals. Journal Computational and Graphical Statistics 5:236–44.
  • Eugene, N., C. Lee, and F. Famoye. 2002. Beta-normal distribution and its applications. Communications in Statistics—Theory and Methods 31:497–512.
  • Fang, K., S. Kotz, and K. Ng. 1990. Symmetric multivariate and related distribution. London: Chapman & Hall.
  • Gleaton, J. U., and J. D. Lynch. 2006. Properties of generalized log-logistic families of lifetime distributions. Journal of Probability and Statistical Science 4:51–64.
  • Gradshteyn, I. S., and I. M. Ryzhik. 2000. Table of integrals, series, and products. 6th ed. A. Jeffrey and D. Zwillinge, eds. San Diego: Academic Press.
  • Hill, M., and W. J. Dixon. 1982. Robustness in real life: A study of clinical laboratory data. Biometrics 38:377–96.
  • Marshall, A. W., and I. Olkin. 1997. A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika 84:641–52.
  • Nadarajah, S., and S. Kotz. 2006. The exponentiated type distribution. Acta Applicandae Mathematicae 92:97–111.
  • Prudnikov, A. P., Y. A. Brychkov, and O. I. Marichev. 1986. Integrals and series: Elementary functions. New York: Gordon and Breach Science Publishers.
  • Punathumparambath, B. 2012. The multivariate skew-slash t and skew-slash Cauchy distributions. Model Assisted Statistics and Applications 7:33–40.
  • Sahu, S. K., D. K. Dey, and M. D. Branco. 2003. A new class of multivariate skew distributions with applications to Bayesian regression models. The Canadian Journal of Statistic 31:129–50.
  • Wang, J., and M. G. Genton. 2006. The multivariate skew-slash distribution. Journal os Statistical Planning and Inference 136:209–20.
  • Whittaker, E. T., and G. N. Watson. 1990. A course in modern analysis. Cambridge: University Press.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.