Table of Contents Author Guidelines Submit a Manuscript
Journal of Probability and Statistics
Volume 2016, Article ID 7208425, 12 pages
http://dx.doi.org/10.1155/2016/7208425
Research Article

General Results for the Transmuted Family of Distributions and New Models

1Departamento de Estatística, Universidade Federal do Rio Grande do Norte, 59078-970 Natal, RN, Brazil
2Department of Mathematics and Statistics, University of North Carolina Wilmington, Wilmington, NC, USA
3Departamento de Estatística, Universidade Federal de Pernambuco, 50740-540 Recife, PE, Brazil

Received 4 October 2015; Accepted 29 December 2015

Academic Editor: Zacharias Psaradakis

Copyright © 2016 Marcelo Bourguignon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. Shaw and I. Buckley, “The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map,” Research Report, 2007. View at Google Scholar
  2. G. R. Aryal and C. P. Tsokos, “On the transmuted extreme value distribution with application,” Nonlinear Analysis: Theory, Methods & Applications, vol. 71, no. 12, pp. e1401–e1407, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. G. R. Aryal and C. P. Tsokos, “Transmuted Weibull distribution: a generalization of the Weibull probability distribution,” European Journal of Pure and Applied Mathematics, vol. 4, no. 2, pp. 89–102, 2011. View at Google Scholar
  4. G. R. Aryal, “Transmuted log-logistic distribution,” Journal of Statistics Applications & Probability, vol. 2, no. 1, pp. 11–20, 2013. View at Publisher · View at Google Scholar
  5. M. S. Khan and R. King, “Transmuted modified weibull distribution: a generalization of the modified weibull probability distribution,” European Journal of Pure and Applied Mathematics, vol. 6, no. 1, pp. 66–88, 2013. View at Google Scholar · View at MathSciNet
  6. I. Elbatal, “Transmuted modified inverse Weibull distribution: a generalization of the modified inverse Weibull probability distribution,” International Journal of Mathematical Archive, vol. 4, no. 8, pp. 117–129, 2013. View at Google Scholar
  7. I. Elbatal and G. R. Aryal, “On the transmuted additive Weibull distribution,” Austrian Journal of Statistics, vol. 42, no. 2, pp. 117–132, 2013. View at Google Scholar
  8. G. S. Mudholkar and D. K. Srivastava, “Exponentiated Weibull family for analyzing bathtub failure-rate data,” IEEE Transactions on Reliability, vol. 42, no. 2, pp. 299–302, 1993. View at Publisher · View at Google Scholar · View at Scopus
  9. R. C. Gupta, P. L. Gupta, and R. D. Gupta, “Modeling failure time data by Lehman alternatives,” Communications in Statistics. Theory and Methods, vol. 27, no. 4, pp. 887–904, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. R. D. Gupta and D. Kundu, “Generalized exponential distributions,” Australian & New Zealand Journal of Statistics, vol. 41, no. 2, pp. 173–188, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  11. S. Nadarajah, “The exponentiated Gumbel distribution with climate application,” Environmetrics, vol. 17, no. 1, pp. 13–23, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. C. S. Kakde and D. T. Shirke, “On exponentiated lognormal distribution,” International Journal of Agricultural and Statistical Sciences, vol. 2, pp. 319–326, 2006. View at Google Scholar
  13. S. Nadarajah and A. K. Gupta, “The exponentiated gamma distribution with application to drought data,” Calcutta Statistical Association Bulletin, vol. 59, no. 233-234, pp. 29–54, 2007. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. F. Merovci, “Transmuted Lindley distribution,” International Journal of Open Problems in Computer Science and Mathematics, vol. 6, no. 2, pp. 63–72, 2013. View at Publisher · View at Google Scholar
  15. M. R. Mahmoud and R. M. Mandouh, “On the transmuted Fréchet distribution,” Journal of Applied Sciences Research, vol. 9, no. 10, pp. 5553–5561, 2013. View at Google Scholar
  16. F. Merovci and L. Puka, “Transmuted Pareto distribution,” ProbStat Forum, vol. 7, pp. 1–11, 2014. View at Google Scholar
  17. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, NY, USA, 2000.
  18. S. K. Ashour and M. A. Eltehiwy, “Transmuted lomax distribution,” American Journal of Applied Mathematics and Statistics, vol. 1, no. 6, pp. 121–127, 2013. View at Publisher · View at Google Scholar
  19. A. Ahmad, S. P. Ahmad, and A. Ahmed, “Characterization and estimation of transmuted Kumaraswamy distribution,” 9, vol. 5, no. 9, pp. 168–174, 2015. View at Google Scholar
  20. M. R. Leadbetter, G. Lindgren, and H. Rootzn, Extremes and Related Properties of Random Sequences and Processes, Springer, New York, NY, USA, 1987.
  21. M. Smithson and J. Verkuilen, “A better lemon squeezer? Maximum-likelihood regression with beta-distributed dependent variables,” Psychological Methods, vol. 11, no. 1, pp. 54–71, 2006. View at Publisher · View at Google Scholar · View at Scopus