Survival Class of Truncated Quantile Generated Family of Distributions: Properties and Applications
Abstract
The $T-X(W)$ family of distributions appeared in [1], and in [2] its survival class was defined for a special model. On the other hand in [6] and [7], the $q_T-X$ family of distributions was defined, and it was observed that the range of the CDF of the $q_T-X$ family of distributions is not always $[0,1]$, and this leads us to introduce its truncated version in the sense of [8]. In this paper, following [2], we introduce the survival class of the truncated $q_T-X$ family of distributions. Some properties and applications are investigated.
Downloads
References
Alzaatreh, A., Lee, C., & Famoye, F. (2013). A new method for generating families of continuous distributions. Metron, 71(1), 63-79. https://doi.org/10.1007/s40300-013-0007-y
Ristić, M. M., & Balakrishnan, N. (2012). The gamma-exponentiated exponential distribution. Journal of Statistical Computation and Simulation, 82(8), 1191-1206. https://doi.org/10.1080/00949655.2011.574633
Bhati, D., Malik, M., & Vaman, H. J. (2015). Lindley-exponential distribution: properties and applications. Metron, 73(3), 335-357. https://doi.org/10.1007/s40300-015-0060-9
Joshi, R. K., & Kumar, V. (2020). New Lindley-Rayleigh distribution with statistical properties and applications. International Journal of Mathematics Trends and Technology, 66(9), 197-208. https://doi.org/10.14445/22315373/IJMTT-V66I9P523
Jamal, F., & Nasir, M. A. (2019). Some new members of the T-X family of distributions. In Proceedings of the 17th International Conference on Statistical Sciences, Lahore, Pakistan.
Ampadu, C. B. (2020). New Classes of Quantile Generated Distributions: Statistical Measures, Model Fit and Characterizations. Lulu Press Inc. ISBN: 9781678166670.
Ampadu, C. B. (2018). Results in Distribution Theory and Its Applications Inspired by Quantile Generated Probability Distributions. Lulu Press Inc. ISBN: 9780359249954.
Mahdavi, A., & Silva, G. O. (2016). A new method to expand families of continuous distributions based on truncated distributions. Journal of Statistical Research of Iran, 13(2), 231-247. https://doi.org/10.18869/acadpub.jsri.13.2.231
Nasiru, S., Mwita, P. N., & Ngesa, O. (2017). Exponentiated Generalized Transformer-Transformer family of distributions. Journal of Statistical and Econometric Methods, 6(4), 1-17.
Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of Integrals, Series, and Products (7th ed.). Academic Press.
Rényi, A. (1961). On measures of entropy and information. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, 1, 547-561.
Alzaatreh, A., Lee, C., & Famoye, F. (2014). T-normal family of distributions: a new approach to generalize the normal distribution. Journal of Statistical Distributions and Applications, 1, 16. https://doi.org/10.1186/2195-5832-1-16
Oguntunde, P. E., Balogun, O. S., Okagbue, H. I., & Bishop, S. A. (2015). The Weibull-exponential distribution: Properties and applications. Journal of Applied Sciences, 15(11), 1305-1311. https://doi.org/10.3923/jas.2015.1305.1311
Nadarajah, S. (2006). The exponentiated Gumbel distribution with climate application. Environmetrics, 17(1), 13-23. https://doi.org/10.1002/env.739

This work is licensed under a Creative Commons Attribution 4.0 International License.
.jpg)
