A flexible model with both bathtub and upside down bathtub shape hazard rates
Lesego Gabaitirigabaitiril@biust.ac.bwDepartment of Mathematics and Statistical SciencesP. Bag 16Botswana International University of Science and TechnologyPalapye, BotswanaView full profile → , Katlego Kegannekatlego.keganne@studentmail.biust.ac.bwDepartment of Mathematics and Statistical SciencesP. Bag 16Botswana International University of Science and TechnologyPalapye, BotswanaView full profile → , *Boikanyo MakubateCorresponding authormakubateb@biust.ac.bwDepartment of Mathematics and Statistical SciencesP. Bag 16Botswana International University of Science and TechnologyPalapye, BotswanaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 03 Jan 2023
- Published Online:
- 01 Mar 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-1201
- Pages:
- 611–628
Abstract
Keywords
Subject Classifications
References
[1] M. C. Jones, “Families of Distributions Arising from Distributions of Order Statistics,” Test, vol. 13, pp. 1–43 (2004).
[2] M. Muhammad and L. Liu, “A New Extension of the Generalized Half Logistic Distribution with Applications to Real Data,” Entropy (Basel), vol. 21, no. 4 (2019).
[3] A. S. Hassan, M. Elgarhy, and M. Shakil, “Type II Half Logistic Family of Distributions with Applications,” Pakistan Journal of Statistics and Operation Research, vol. 13, no. 2, pp. 245–264 (2005).
[4] J. K. Jose and M. Manoharan, “Beta half logistic distribution – A new probability model for lifetime data,” Journal of Statistics & Management Systems, vol. 19, no. 4, pp. 587–604 (2016).
[5] S. D. Krishnarani, “On a Power Transformation of Half-Logistic Distribution,” Journal of Probability and Statistics, vol. 2016, pp. 587–604 (2016).
[6] A. K. Olapade, “The Type I Generalized Half Logistic Distribution,” Journal of the Iranian Statistical Society, vol. 13, no. 1 (2014).
[7] K. Rannona, B. Oluyede, F. Chipepa, and B. Makubate, “The exponentiated odd exponential half logistic-G power series class of distributions with applications,” Journal of Statistics & Management Systems, vol. 25, no. 8-A, pp. 1821–1848 (2022).
[8] S. A. Alyami, M. G. Babu, A. N. Elbatal, I., and M. Elgarhy, “Type II Half-Logistic Odd Frechet Class of Distributions: Statistical Theory and Applications,” Symmetry, vol. 14, no. 6 (2022).
[9] R. A. ZeinEldin, M. A. ul Haq, S. Hashmi, M. Elsehety, and M. Elgarhy, “Type II Half Logistic Kumaraswamy Distribution with Applications,” Journal of Function Spaces, vol. 2020 (2020).
[10] 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 & Management Systems, vol. 22, no. 8, pp. 1365–1379 (2019).
[11] M. Alizadeh, G. M. Cordeiro, E. D. Brito, and C. G. B Dem´etrio, “The beta Marshall-Olkin family of distributions,” Journal of Statistical Distributions and Applications, vol. 2, no. 1, pp. 1–18 (2015).
[12] F. Chipepa, B. Oluyede, B. Makubate, and A. F. Fagbamigbe, “The Beta Odd Lindley-G Family of Distributions with Applications,” International Journal of Statistics and Probability, vol. 17, no. 1, pp. 51–84 (2019).
[13] G. M. Cordeiro, G. Silva, and E. Ortega, “The beta extended Weibull distribution,” J Probab Stat Sci, vol. 10, pp. 15–40 (2012).
[14] G. Cordeiro, G. Silva, R. Pescim, and E. Ortega, “General properties for the beta extended half-normal distribution,” J Stat Comput Simul, vol. 84, pp. 881–901 (2014).
[15] N. Eugene, C. Lee, and F. Famoye, “Beta-normal distribution and its applications,” Commun Statist Theor Meth, vol. 31, pp. 497–512 (2002).
[16] B. Makubate, B. O. Oluyede, N. Dingalo, and A. Fagbamigbe, “The Beta Log-logistic Weibull Distribution: Model, Properties and Application,” International Journal of Statistics and Probability, vol. 7, no. 6, pp. 49–67 (2018).
[17] B. Makubate, B. O. Oluyede, G. Motobetso, S. Huang, and A. Fagbamigbe, “The Beta Weibull-G Family of Distributions: Model, Properties and Application,” International Journal of Statistics and Probability, vol. 7, no. 2, pp. 12–32 (2017).
[18] R. Musekwa and B. Makubate, “Statistical analysis of Saudi Arabia and UK Covid-19 data using a new generalized distribution,” Scientific African, vol. 22 (2023).
[19] H. Al-Mofleh, M. Elgarhy, A. Affify, and M. Zannon, “Type II Exponentiated Half Logistic generated family of distributions with applications,” Electronic Journal of Applied Statistical Analysis, vol. 13, no. 2, pp. 536–561 (2020).
[20] F. Famoye, C. Lee, and O. Olumolade, “The beta Weibull distribution,” Journal of Statistical Theory And Applications, vol. 4, no. 2, pp. 121–136 (2005).
[21] M. Ibrahim and H. Yousef, “Transmuted Topp-Leone Weibull lifetime distribution: statistical properties and different method of estimation,” Pakistan Journal of Statistics and Operation Research, vol. 16, no. 3, pp. 501–515 (2020).
[22] B. Oluyede and T. Yang, “A new class of generalized Lindley distribution with applications,” Journal of Statistical Computation and Simulation, vol. 85, no. 10, pp. 2072–2100 (2015).
[23] R. Shanker, H. Fesshaye, and S. Selvaraj, “On Modeling of Lifetimes Data Using Exponential and Lindley Distributions,” Biometrics and Biostatistics International Journal, vol. 2, no. 5, pp. 4–9 (2015).
[24] M. Mead, “On five-parameter Lomax distribution: properties and applications,” Pakistan Journal of Statistics and Operations Research, vol. 1, pp. 185–199 (2016).
