Lehmann Type II-Lomax Distribution: Properties and Application to Real Data Set
Keywords:
Lehmann Type II, Lomax, compound distribution, moment, entropyAbstract
Communication in Physical Sciences, 2023, 9(1):63 - 72
Alhaji Modu Isa, Aishatu Kaigama, Akeem Ajibola Adepoju and Sule Omeiza Bashiru
Received: 15 January 2023/Accepted 25 March 2023
In this paper, we proposed a new compound probability distribution known as the Lehmann Type II-Lomax (LTL) distribution generated from the Lehmann Type II Family of distribution and derived some of its mathematical properties such as entropy, moments, moment-generating functions, and order statistics. Parameters of the new distribution were estimated using a maximum likelihood estimator. One dataset was used to illustrate the usefulness of the model. The newly developed model outperformed its competitors
Downloads
References
Awodutire, P. O., Nduka, E. C. & Ijomah, M. A. (2020). Lehmann type II generalized half-logistic distribution: Properties and application. Mathematical Theory and Modeling, 10, 2, pp., 103-115.
Badmus, N. I., Bamiduro, T. A. & Ogunobi, S. G. (2014). Lehmann Type II weighted Weibull distribution. International Journal of Physical Sciences, 9, 4, pp. 71-78.
Balogun, O. S., Arshad, M. Z., Iqbal, M. Z., & Ghamkhar, M. (2021). A new modified Lehmann type–II G class of distributions: exponential distribution with theory, simulation, and applications to the engineering sector. F1000Research, 10, 483, https://doi.org/10.12688/f1000research.52494.1
Bukoye, A. Bada, O. Muritala, A. K. & Ajadi, A. A. (2021). Type II Half Logisitic Exponentiated Lomax Distribution. Global Journal of Science Frontiers Research: Mathematics and Decision Science, 21, 3, pp., 1-25.
Chaudhary, A. K., & Kumar, V. (2020). The Logistic Lomax Distribution with Properties and Applications. International Journal of New Technology and Research, 6, 2, pp., 74-80.
Elgarhy, M. & Alrajhi, S. (2019). The odd Frechet inverse Rayleigh distribution: statistical properties and applications. Journal of Nonlinear Science and Application, 12, pp. 291–299.
Elgarhy, M. Shakil, M & Kibria, B. M. G. (2017). Exponentiated Weibull-Exponential distribution with applications. Application and Applied Mathematics: An International Journal, 12, 2, pp. 710-725.
Falgore, J. Y., & Doguwa, S. I. (2020). The inverse lomax-g family with application to breaking strength data. Asian Journal of Probability and Statistics, 8, 2, pp., 49-60.
Hamed, M. S. (2018). The Burr XII Exponentiated Weibull Model. Journal of Statistics and Applications, 1, 2, pp. 15-31.
Hassan, A. S. & Mohamed, R. E. (2019). Weibull Inverse Lomax Distribution. Pakistanian Journal of Statistician and Operational Research, 15, 3, pp. 587-603.
Hyndman, R. J. & Fan, Y. (1996). Sample quantiles in statistical packages. The American Statistics, 50, 4, pp. 361-36.
Ijaz, M., Asim, S. M. & Alamgir (2019). Lomax exponential distribution with an application to real life data. Plos One 14, 12, pp. e0225827, https://doi.org/10.1371/journal.pone.0225827
Iqbal, M. Z., Arshad, M. Z., Özel, G., & Balogun, O. S. (2021). A better approach to discuss medical science and engineering data with a modified Lehmann Type–II model. F1000Research, 10, 823, https://doi.org/10.12688/f1000research.54305.11
Jabeen, S. & Para, B. (2018). Exponentiated Gamma Exponential Distribution. Sohag Journal of Mathematics: An International Journal, 5, 3, pp. 79-84.
Lehmann, E. L. (1953). The power of rank tests. Annals of Mathematical Statistics, 24, pp. 23–43.
Muhammad, S. & Al-Kadim, K. A. (2019). Odd Generalized Exponential Weibull Distribution. Journal of Engineering and Applied Sciences, 14, 8, 10360-10368.
Ogunde, A. A., Olalude, G. A., Adeniji, O. E., & Balogun, K. (2021). Lehmann Type II Frechet Poisson Distribution: Properties, Inference and Applications as a Life Time Distribution. International Journal of Statistics and Probability, 10, 3, pp. 1-8.
Recife, E. (2017). Building new probability distributions: the composition method and a computer-based method. Unpublished Ph. D. Thesis, Universidade Federal de Pernambuco.
Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27, pp. 379–423.
Tomazella, V. L., Ramos, P. L., Ferreira, P. H., Mota, A. L., & Louzada, F. (2020). The Lehmann type II inverse Weibull distribution in the presence of censored data. Communications in Statistics-Simulation and Computation, pp. 1-17.
Yahia, N. (2019). The Type II Topp Leone Generalized Inverse Rayleigh Distribution. International Journal of Contemporary Mathematical Sciences, 14, 3, pp., 113–122.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
