Keywords and phrases: beta Weibull-Fréchet distribution, moments, mean deviations, Rényi entropy, maximum likelihood estimation.
Received: July 15, 2023; Revised: August 27, 2023; Accepted: August 30, 2023
How to cite this article: Majdah Mohammed Badr, Amal T. Badawi and Amal H. Al-Zahrani, The beta Weibull-Fréchet distribution: characterizations and applications, Advances and Applications in Statistics 89(2) (2023), 141-173. http://dx.doi.org/10.17654/0972361723055
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References: [1] R. A. Bantan, C. Chesneau, F. Jamal and M. Elgarhy, On the analysis of new COVID-19 cases in Pakistan using an exponentiated version of the M family of distributions, Mathematics 8 (2020), 953. doi:10.3390/math8060953. [2] A. Algarni, A. M. Almarashi, I. Elbatal, A. S. Hassan, E. M. Almetwally, A. M. Daghistani and M. Elgarhy, Type I half logistic Burr XG family: properties, Bayesian, and non-Bayesian estimation under censored samples and applications to COVID-19 data, Math. Probl. Eng. Volume 2021, Article ID 5461130. https://doi.org/0.1155/2021/5461130. [3] A. Zubair, M. Elgarhy, G. Hamedani and N. Butt, Odd generalized N-H generated family of distributions with application to exponential model, Pak. J. Stat. Oper. Res. 16 (2020), 53-71. [4] N. Alotaibi, I. Elbatal, E. M. Almetwally, S. A. Alyami, A. S. Al-Moisheer and M. Elgarhy, Truncated Cauchy power Weibull-G class of distributions: Bayesian and non-Bayesian inference modelling for COVID-19 and carbon fiber data, Mathematics 10 (2022), 1565. [5] I. Elbatal, N. Alotaibi, E. M. Almetwally, S. A. Alyami and M. Elgarhy, On odd Perks-G class of distributions: properties, regression model, discretization, Bayesian and non-Bayesian estimation, and applications, Symmetry 14 (2022), 883. [6] A. A. Al-Babtain, I. Elbatal, C. Chesneau and M. Elgarhy, Sine Topp-Leone-G family of distributions: theory and applications, Open Phys. 18 (2020), 574-593. [7] R. A. Bantan, F. Jamal, C. Chesneau and M. Elgarhy, Truncated inverted Kumaraswamy generated family of distributions with applications, Entropy 21 (2019), 1089. https://doi.org/10.3390/e21111089. [8] N. Eugene, C. Lee and F. Famoye, Beta-normal distribution and its applications, Comm. Statist. Theory Methods 31(4) (2002), 497-512. [9] S. Nadarajah and A. K. Gupta, The beta Fréchet distribution, Far East Journal of Theoretical Statistics 14(1) (2004), 15-24. [10] F. Famoye, C. Lee and O. Olumolade, The beta-Weibull distribution, J. Stat. Theory Appl. 4(2) (2005), 121-136. [11] S. Nadarajah and S. Kotz, The beta exponential distribution, Reliability Engineering and System Safety 91(6) (2006), 689-697. [12] A. Akinsete, F. Famoye and C. Lee, The beta-Pareto distribution, Statistics 42(6) (2008), 547-563. [13] W. Barreto-Souza, A. H. S. Santos and G. M. Cordeiro, The beta generalized exponential distribution, J. Stat. Comput. Simul. 80(2) (2010), 159-172. [14] M. S. Khan, The beta inverse Weibull distribution, International Transactions in Mathematical Sciences and Computer 3(1) (2010), 113-119. [15] M. Bourguignon, R. B. Silva and G. M. Cordeiro, The Weibull-G family of probability distributions, Journal of Data Science 12(1) (2014), 53-68. [16] P. E. Oguntunde, O. S. Balogun, H. I. Okagbue and S. A. Bishop, The Weibull-exponential distribution: its properties and applications, Journal of Applied Sciences 15(11) (2015), 1305-1311. [17] F. Merovci and I. Elbatal, Weibull Rayleigh distribution: theory and applications, Applied Mathematics and Information Sciences 9(5) (2015), 1-11. [18] A. Z. Afify, H. M. Yousof, G. M. Cordeiro, E. M. M. Ortega and Z. M. Nofal, The Weibull Fréchet distribution and its applications, J. Appl. Stat. 43(14) (2016), 2608-2626. [19] B. Makubate, B. O. Oluyede, G. Motobetso, S. Huang and A. F. Fagbamigbe, The Beta Weibull-G family of distributions: model, properties and application, International Journal of Statistics and Probability 7(2) (2018), 12-32. [20] M. R. Mahmoud and R. M. Mandouh, On the transmuted Fréchet distribution, J. Appl. Sci. Res. 9(10) (2013), 5553-5561. [21] M. E. Mead and A. R. Abd-Eltawab, A note on Kumaraswamy Fréchet distribution, Australian Journal of Basic and Applied Sciences 8(815) (2014), 294-300. [22] M. E. Mead, A. Z. Afify, G. G. Hamedani and I. Ghosh, The beta exponential Fréchet distribution with applications, Austrian Journal of Statistics 46(1) (2017), 41-63. [23] P. E. Oguntunde, M. A. Khaleel, M. T. Ahmed and H. I. Okagbue, The Gompertz Fréchet distribution: properties and applications, Cogent Math. Stat. 6(1) (2019), 1-12. [24] R. Azimi and M. Esmailian, Correction to: The Weibull Fréchet distribution and its applications, J. Appl. Stat. 48(16) (2021), 3251-3252. [25] M. D. Nicolas and W. J. Padgett, A bootstrap control chart for Weibull percentiles, Quality and Reliability Engineering International 22(2) (2006), 141-151.
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