Two New Distribution Families Constructed by a Modified Rank Transmutation

Year 2018, Volume: 6 Issue: 1 , 106 - 112 , 27.04.2018

Mehmet Yilmaz , Sibel Acik Kemaloglu

https://doi.org/10.36753/mathenot.421778

https://izlik.org/JA59HA34MP

Abstract

Keywords

quadratic rank transmutation , rank transmutation , modified rank transmutation , transmuted distribution

References

• [1] Abd El Hady, N. E., Exponentiated Transmuted Weibull Distribution. International Journal of Mathematical, Computational, Statistical, Natural and Physical Engineering (2014), 8(6).
• [2] Alizadeh, M., Merovci, F., and Hamedani, G. G., Generalized transmuted family of distributions: properties and applications. Hacettepe Journal of Mathematics and Statistics, forthcomig, (2015).
• [3] Ashour, S. K., and Eltehiwy, M. A., Transmuted exponentiated Lomax distribution. Aust J Basic Appl Sci, 7(7), (2013), 658-667.
• [4] Das, K. K., and Barman, L., On some generalized transmuted distributions. Int. J. Sci. Eng. Res, 6, (2015), 1686-1691.
• [5] Eltehiwy, M., and Ashour, S., Transmuted exponentiated modified Weibull distribution. International Journal of Basic and Applied Sciences, 2(3), (2013), 258-269.
• [6] Ghitany, M. E., Atieh, B., and Nadarajah, S., Lindley distribution and its application. Mathematics and computers in simulation, 78(4), (2008), 493-506.
• [7] Maguire, B. A., Pearson, E. S., and Wynn, A. H. A., The time intervals between industrial accidents. Biometrika, 39(1/2), (1952), 168-180.
• [8] Mansour, M. M., Enayat, M. A., Hamed, S. M., and Mohamed, M. S., A new transmuted additive Weibull distribution based on a new method for adding a parameter to a family of distributions. Int. J. Appl. Math. Sci, 8, (2015), 31-51.
• [9] Mansour, M. M., and Mohamed, S. M., A new generalized of transmuted Lindley distribution. Appl. Math. Sci, 9, (2015), 2729-2748.
• [10] Merovci, F., Transmuted exponentiated exponential distribution. Mathematical Sciences and Applications E-Notes, 1(2), (2013).
• [11] Nofal, Z. M., Afify, A. Z., Yousof, H. M., and Cordeiro, G. M., The generalized transmuted-G family of distributions. Communications in Statistics-Theory and Methods, 46(8), (2017), 4119-4136.
• [12] Nofal, Z. M., and El Gebaly, Y. M., The Generalized Transmuted Weibull Distribution for Lifetime Data. Pakistan Journal of Statistics and Operation Research, 13(2), (2017), 355-378.
• [13] Shaw, W.T and Buckley, I.R.C., The Alchemy of Probability Distributions: Beyond Gram-Charlier and CornishFisher Expansions, and Skew-Normal or Kurtotic-Normal Distributions. Research report, 2007.