The Marshall-Olkin Type II exponentiated half logistic family of distributions with properties and applications
*Broderick OluyedeCorresponding authoroluyedeo@biust.ac.bwDepartment of Mathematics and Statistical SciencesPrivate Bag 16Botswana International University of Science and TechnologyPalapye, BotswanaView full profile → , Morongwa Gabankgosimorongwa.gabanakgosi@studentmail.biust.ac.bwDepartment of Mathematics and Statistical SciencesPrivate Bag 16Botswana International University of Science and TechnologyPalapye, BotswanaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 15 Sep 2021
- Accepted:
- 11 Apr 2022
- Published Online:
- 15 Jan 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-968
- Pages:
- 17–46
Abstract
Keywords
Subject Classifications
References
[1] H. H. Ahmad and E. Almetwally, “Marshall-Olkin Generalized Pareto Distribution: Bayesian and non-Bayesian estimation,” Pakistan J. Stat. Oper. Res., pp. 21-33 (2020).
[2] H. Al-Mofleh, M. Elgarhy, A. Afify, and M. Zannon, “Type II Exponentiated Half Logistic Generated Family of Distributions with Applications,” Electron. J. Appl. Stat. Anal., vol. 13, no. 2, pp. 536-561 (2020), doi: 10.1285/i20705948v13n2p536.
[3] A. Bekker, J. J. J. Roux, and P. J. Mosteit, “A Generalization of the Compound Rayleigh Distribution: using a Bayesian Method on Cancer Survival Times,” Commun. Stat.-Theory Methods, vol. 29, no. 7, pp. 1419-1433 (2000).
[4] J. Chambers, W. Cleveland, B. Kleiner, and J. Tukey, Graphical Methods for Data Analysis, London: Chapman and Hall (1983).
[5] S. Chamunorwa, B. Makubate, B. Oluyede, and F. Chipepa, “The Exponentiated Half Logistic-Log-Logistic Weibull Distribution: Model, Properties and Applications,” J. Stat. Modelling: Theory Appl., vol. 2, no. 1, pp. 101-120 (2021).
[6] R. Chhikara and J. L. Folks, “The Inverse Gaussian Distribution and its Statistical Application,” J. Roy. Stat. Soc. Ser. B, vol. 40, no. 3, pp. 263-289 (1978).
[7] G. M. Cordeiro, M. Alizadeh, and E. M. M. Ortega, “The Exponentiated Half-Logistic Family of Distributions: Properties and Applications,” J. Probab. Stat., pp. 1-21 (2014).
[8] M. E. Ghitany, D. K. Al-Mutairi, N. Balakrishnan, and L. J. Al-Enezi, “Power Lindley Distribution and Associated Inference,” Comput. Stat. Data Anal., vol. 64, pp. 20-33 (2013), doi: 10.1016/j.csda.2013.02.026.
[9] M. E. Ghitany, F. A. Al-Awadhi, and L. Alkhalfan, “Marshall-Olkin Extended Lomax Distribution and its Application to Censored Data,” Commun. Stat.-Theory Methods, vol. 36, no. 10, pp. 1855-1866 (2007).
[10] A. Hassan, M. Elgarhy, and M. Shakil, “Type II Half Logistic Family of Distributions with Applications,” Pakistan J. Stat. Oper. Res., vol. 13, no. 2, pp. 245-264 (2017), doi: 10.18187/pjsor.v13i2.1560.
[11] K. K. Jose and E. Krishna, “Marshall-Olkin Extended Uniform Distribution,” ProbStat Forum, no. 4, pp. 78-88, Oct. (2011).
[12] E. Krishna, K. K. Jose, T. Alice, and M. M. Ristić, “The Marshall-Olkin Fréchet Distribution,” Commun. Stat.-Theory Methods, vol. 42, no. 22, pp. 4091-4107 (2013).
[13] S. R. Lima and G. M. Cordeiro, “The Extended Log-Logistic Distribution: Properties and Application,” Anais da Acad. Brasileira de Ciéncias, vol. 89, no. 1, pp. 3-17 (2017).
[14] A. W. Marshall and I. Olkin, “A new Method for Adding a Parameter to a Family of Distributions with Application to the Exponential and Weibull Families,” Biometrika, vol. 84, no. 3, pp. 641-652 (1997).
[15] B. Makubate, F. Chipepa, B. Oluyede, and O. P. Peter, “The Marshall-Olkin Half Logistic-G Family of Distributions With Applications,” Int. J. Stat. Probab., vol. 10, no. 2, pp. 120-137 (20210.
[16] T. Moakofi, B. Oluyede, F. Chipepa, and B. Makubate, “Odd Power Generalized Weibull-G Family of Distributions: Model, Properties and Applications,” J. Stat. Modelling: Theory Appl., vol. 2, no. 1, pp. 121-142 (2021).
[17] S. Nadarajah and S. Kotz, “The Exponentiated Fréchet Distribution,” Interstat Electron. J., vol. 14, pp. 01-07 (2003).
[18] R. M. Pakungwati, Y. Widyaningsih, and D. Lestari, “Marshall-Olkin Extended Inverse Weibull Distribution and its Application,” J. Phys. Conf. Ser., vol. 1108, no. 1, p. 012114, IOP Publishing (2018).
[19] A. Rényi, “On Measures of Entropy and Information,” Proc. Fourth Berkeley Symp. Math. Stat. Prob., vol. 1, pp. 547-561 (1960).
[20] M. Shaked and J. G. Shanthikumar, Stochastic Orders, New York: Springer (2007).
[21] A. L. Sobhi and M. Mashail, “The Inverse-Power Logistic-Exponential Distribution: Properties, Estimation Methods, and Application to Insurance Data,” Mathematics, vol. 8, no. 11, p. 2060 (2020).
