A new extended Remkan distribution and its application to the cancer data
Main Article Content
Abstract
A new two-parameter Remkan distribution is derived. In this study a new version of the length-biased Remkan distribution is discussed. Mathematical properties of the new distribution, including moments, moment-generating functions, shape, order statistics, Renyi entropy, and Bonferroni curves, have been proposed. Also discussed was the simulation study of the proposed distribution. The length-biased Remkan distribution in survival data is discussed on real lifetime data from engineering and medical science. Finally analyzed, a real-life data set is fitted and the fit has been found to be good.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
References
1. Aderoju, S. Samade probability distribution its properties and application to real lifetime data. Asian Journal of Probability and Statistics 14, 1-11 (2021). http://dx.doi.org/10.9734/AJPAS/2021/v14i130317
2. Aijaz, A., Jallal, M., Ain, S. Q. U. & Tripathi, R. The Hamza distribution with statistical properties and applications. Asian Journal of Probability and Statistics 8, 28-42 (2020). https://doi.org/10.9734/ajpas/2020/v8i130198
3. Ahmad, A., Ahmad, S. P. & Ahmed, A. Length-Biased weighted Lomax distribution: statistical properties and applications. Pak. J. Stat. Oper. Res. 12, 45-55 (2016). https://doi.org/10.18187/pjsor.v12i2.1178
4. Elechi, O., Okereke, E. W., Chukwudi, I. H., Chizoba, K. L. & Wale, O. T. Iwueze’s distribution and its application. Journal of Applied Mathematics and Physics 10, Article 12 (2022). https://doi.org/10.4236/jamp.2022.1012251
5. Khatree, R. Characterization of Inverse-Gaussian and Gamma distributions through their length biased distribution. IEEE Transactions on Reliabilit. 38, 610-611 (1989). doi: 10.1109/24.46490
6. Modi, K. & Gill, V. Length-biased Weighted Maxwell Distribution. Pak. J. Stat. Oper. Res. 11, 465-472 (2015). https://doi.org/10.18187/pjsor.v11i4.1008
7. Odoma, C. C. & Ijomah, M. A. Odoma distribution and its application. Asian Journal of Probability and Statistics 4, 1-11 (2019). https://doi.org/10.9734/ajpas/2019/v4i130103
8. Shukla, K. K. Prakaamy distribution with properties and applications. Journal of Applied Quantitative Methods 13, 30-38 (2018a)
9. Shukla, K. K. Ram Awadh distribution with properties and applications. Biometrics & Biostatistics International Journal 7, 515-523 (2018b). https://doi.org/10.15406/bbij.2018.07.00254
10. Umeh, E. & Ibenegbu, A. A two-parameter Pranav distribution with properties and its application. Journal of Biostatistics and Epidemiolog, 5, 74-90 (2019). https://doi.org/10.18502/jbe.v5i1.1909
11. Uwaeme, O. R., Akpan, N. P. & Orumie, U. C. The Copoun distribution and its mathematical properties. Asian Journal of Probability and Statistics 24, 37-44 (2023). https://doi.org/10.9734/ajpas/2023/v24i1516
12. Uwaeme, O. R. & Akpan, N. P. The Remkan distribution and its applications. Asian J. Prob. Stat., 26, 13-24 (2024). https://doi.org/10.9734/ajpas/2024/v26i1577