TARU PUBLICATIONS
 Journal of Statistics and Management Systems cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510

Monthly Journal: Publishes peer-reviewed aticles on theoretical and applied statistics and management systems, expoloring industrial statistics, actuarial and decision sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

The Marshall-Olkin-Type II Topp-Leone-exponentiated half logistic-G family of distributions with applications 

* , ,

* Corresponding author · click or hover a name for details

pp. 213–229Vol. 29Issue 3March 2026DOI: 10.47974/JSMS-1243XML
Received:
05 Apr 2023
Published Online:
27 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JSMS-1243
Pages:
213–229

Abstract

This study introduces a new family of continuous distributions. Statistical properties of the distribution are thoroughly explored, and specific cases within this family are presented. The proposed model is applied to situations where the data indicate extreme skewness. We carried out simulation study to explore the estimation of the model parameters through maximum likelihood technique. Two datasets are analysed to demonstrate the utility of the proposed model in practical application.

Keywords

Subject Classifications

60E0562P9962E99

References

[1] D. F. Andrews and A. M. Herzberg, Data: A Collection of Problems from Many Fields for the Student and Research Worker. Springer Science & Business Media (2012).
[2] A. Al-Shomrani, O. Arif, A. Shawky, S. Hanif, and M. Q. Shahbaz, “Topp-Leone family of distributions: Some properties and application,” Pakistan Journal of Statistics and Operation Research, vol. 12, no. 3, pp. 443–451 (2016).
[3] R. A. R. Bantan, F. Jamal, C. Chesneau, and M. Elgarhy, “Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications,” Symmetry, vol. 12, no. 1, p. 75 (2020), doi: 10.3390/sym12010075.
[4] S. Chamunorwa, B. Oluyede, B. Makubate, and F. Chipepa, “The exponentiated odd Weibull-Topp-Leone-G family distributions: model, properties and applications,” Pakistan Journal of Statistics, pp. 143–158 (2021).
[5] S. Chamunorwa, B. Makubate, B. Oluyede, and F. Chipepa, “The exponentiated half logistic-log-logistic Weibull distribution: model, properties and applications,” Journal of Statistical Modelling: Theory and Applications, vol. 2, no. 1, pp. 101–120 (2021), doi: 10.22034/jsmta.2021.2303.
[6] G. Chen and N. Balakrishnan, “A general purpose approximate goodness-of-fit test,” Journal of Quality Technology, vol. 27, no. 2, pp. 154–161 (1985).
[7] F. Chipepa, B. Oluyede, and B. Makubate, “The Topp-Leone Marshall-Olkin-G family of distributions with applications,” International Journal of Statistics and Probability, vol. 9, no. 4 (2020), doi: 10.5539/ijsp.v9n4p15.
[8] F. Chipepa and B. Oluyede, “The Marshall-Olkin-Gompertz-G family of distributions: properties and applications,” Journal of Nonlinear Sciences and Applications, vol. 14, pp. 60–65 (2021).
[9] G. Cordeiro, M. Alizadeh, and E. Ortega, “The exponentiated half-logistic family of distributions: properties and applications,” Journal of Probability and Statistics (2014), doi: 10.1155/2014/864396.
[10] M. Elgarhy, M. Arslan Nasir, F. Jamal, and G. Gamze Ozel, “The type II Topp-Leone generated family of distributions: properties and applications,” Journal of Statistics and Management Systems, vol. 21, pp. 1529–1551 (2018).
[11] M. E. Ghitany, “Marshall-Olkin extended Pareto distribution and its application,” International Journal of Applied Mathematics, vol. 18, no. 1, pp. 17–31 (2005).
[12] M. E. Ghitany, B. Atieh, and S. Nadarajah, “Lindley Distribution and its Application,” Mathematics and Computers in Simulation, vol. 78, pp. 493–506 (2008).
[13] M. E. Ghitany, F. A. Al-Awadhi, and L. A. Alkhalfan, “Marshall-Olkin extended Lomax distribution and its application to censored data,” Communications in Statistics - Theory and Methods, vol. 36, no. 10, pp. 1855–1866 (2007).
[14] A. N. Marshall and I. Olkin, “A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families,” Biometrika, vol. 84, pp. 641–652 (1997).
[15] B. Oluyede and F. Chipepa, “The Marshall-Olkin odd exponential half logistic-G family of distributions: properties and applications,” Statistics, Optimization and Information Computing, vol. 11, no. 2, pp. 479–503 (2021), doi: 10.19139/soic-2310-5070-938.
[16] S. Rezaei, B. B. Sadr, M. Alizadeh, and S. Nadarajah, “Topp-Leone generated family of distributions: Properties and applications,” Communications in Statistics-Theory and Methods, vol. 46, no. 6, pp. 2893–2909 (2016).
[17] D. Rahardja, H. Wu, Z. Zhang, and A. D. Tiedt, “Maximum likelihood estimation for the proportion difference of two-sample binomial data subject to one type of misclassification,” Journal of Statistics and Management Systems, vol. 22, no. 8, pp. 1365–1379 (2019), doi: 10.1080/09720510.2019.1606319.
[18] M. M. Ristic, K. K. Jose, and J. Ancy, “A Marshall-Olkin gamma distribution and minification process,” STARS: Stress and Anxiety Research Society, vol. 11, pp. 107–117 (2007).
[19] M. M. Ristic and D. Kundu, “Marshall-Olkin generalized exponential distribution,” Metron, vol. 73, pp. 317–333 (2015).
[20] A. Rényi, “On measures of entropy and information,” in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, The Regents of the University of California (1961).
[21] M. Santos Neto, M. Bourguignon, L. Zea, A. Nascimento, and G. Cordeiro, “The Marshall-Olkin extended Weibull family of distributions,” Journal of Statistical Distributions and Applications, vol. 1 (2014), doi: 10.1186/2195-5832-1-9.

Views: 72Downloads: 22Citations: 0