109
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Some Reliability Properties of Transformed-Transformer Family of Distributions

, &

References

  • Akinsete, A., Famoye, F., & Lee, C. (2012). The beta-Pareto distribution. Statistics 42(6), 547–563.
  • Alshawarbeh, E., Lee, C., & Famoye, F. (2012). Beta-Cauchy distribution. Journal of Probability and Statistical Science, 10, 41–58.
  • Alzaatreh, A., Lee., C., & Famoye, F. (2013a). A new method for generating families of continuous distributions. Metron, 71(1), 63–79.
  • Alzaatreh, A., Famoye, F., & Lee, C. (2103b). Weibull-Pareto distribution and its applications. Communications in Statistics - Theory and Methods, 42(9), 1673–1691.
  • Aljarrah, M. A., Lee, C. & Famoye, F. (2014). On generating T-X family of distributions using quantile functions. Journal of Statistical Distributions and Applications, 1(2), 1–17.
  • Barreto-Souza, W., Santos, A. H. S., & Cordeiro, G. M. (2010) The beta generalized exponential distribution. Journal of Statistical Computation and Simulation, 80(2), 159–172.
  • Block, H. W., Savits, T. H., & Singh, H. (1998). The reversed hazard rate function. Probability in the Engineering and Informational Sciences, 12(01), 69–90.
  • Burr, I. W. (1942). Cumulative frequency functions. The Annals of Mathematical Statistics, 13, 215–232.
  • Carrasco, J. M. F., Ortega, E. M. M., & Cordeiro, G. M. (2008). A generalized modified Weibull distribution for lifetime modeling. Computational Statistics and Data Analysis, 53, 450–462.
  • Cordeiro, G. M., & de Castro, M. (2011) A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81(7), 883–898.
  • Cordeiro, G. M., Cristino, T., Hashimoto, E. M., & Ortega, E. M.(2013). The beta generalized Rayleigh distribution with applications to lifetime data. Statistical Papers, 54, 133–161.
  • de Pascoa, M. A. R., Ortega, E. M. M., & Cordeiro, G. M. (2011). The Kumaraswamy generalized gamma distribution with application in survival analysis Statistical Methodology, 8, 411–433.
  • Elderton, W. P. & Johnson, N. L.(1969) Systems of frequency curves. Cambridge University Press.
  • Eugene, N., Lee, C., & Famoye, F.(2002). Beta-normal distribution and its applications. Communications in Statistics - Theory and Methods, 31(6), 497–512.
  • Famoye, F., Lee, C., & Olumolade, O.(2005). The beta-Weibull distribution. Journal of Statistical Theory and Applications, 4(2):121-136.
  • Johnson, N. L., Kotz, S., & Balakrishnan, N.(1994). Continuous univariate distributions. Vol. 1, John Wiley and Sons.
  • Jones, M. C. (2009), Kumaraswamy’s distribution: A beta-type distribution with tractability advantages. Statistical Methodology, 6, 70–81.
  • Lee, C., Famoye, F., & Alzaatreh, A. (2013). Methods for generating families of univariate continuous distributions in the recent decades. WIREs Computational Statistics, 5(3):219–238.
  • Nadarajah, S., & Kotz, S. (2006) The beta exponential distribution. Reliability Engineering and System Safety, 91, 697.
  • Khodabin, M., & Ahmadabadi, A. R. (2010). Some properties of generalized gamma distribution. Mathematical Sciences, 4(1), 9–28.
  • Ramberg, J. S., & Schmeiser, B. W. (1974) An approximate method for generating asymmetric random variables. Communications of the Association for Computing Machinery, 17, 78–82.
  • Ramberg, J. S., Tadikamalla, P. R., Dudewicz, E. J., Mykytka, E. F. (1979). A probability distribution and its uses in fitting data. Technometrics, 21, 201–214.
  • Sengupta, D., & Nanda, A. K.(1999). Log-concave and concave distributions in reliability. Naval Research Logistics, 46(4), 419–433.
  • Stacy, E. W. (1962). A generalization of the gamma distribution. The Annals of Mathematical Statistics, 33, 1187–1192.

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.