پیوندهای مفید
آمار
| تعداد نشریات | 22 |
| تعداد شمارهها | 709 |
| تعداد مقالات | 10,213 |
| تعداد مشاهده مقاله | 71,680,611 |
| تعداد دریافت فایل اصل مقاله | 63,498,576 |
The Topp Leone Flexible Weibull distribution: An extension of the Flexible Weibull distribution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 242، دوره 13، شماره 1، خرداد 2022، صفحه 2999-3010 اصل مقاله (456.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6031 | ||
| نویسندگان | ||
| Nihad Sh. Khalaf* 1؛ Moudher Kh. Abdul Hameed2؛ Mundher A. Khaleel3؛ Zeyad M. Abdullah3 | ||
| 1Tikrit University, Collage of Education for Women, Department of Mathematics, Iraq. | ||
| 2Tikrit University, Collage of Management and Economics, Department of Public Administration, Iraq. | ||
| 3Tikrit University, Collage of Computer Science and Mathematics, Department of Mathematics, Iraq. | ||
| تاریخ دریافت: 14 خرداد 1400، تاریخ پذیرش: 03 آذر 1400 | ||
| چکیده | ||
| A new probability model for positively skewed datasets like economic data, medical, engineering and other sciences was developed in this paper. The new distribution is named the Topp-Leone Flexible Weibull distribution and it was generated using the Topp-Leone-G family of distributions. This new distribution has three parameters and it is very flexible in fitting several and different datasets. Its basic mathematical properties were studied and the method of maximum likelihood estimation was used for the estimation of model parameters. A real life dataset was used to illustrate the flexibility of the distribution and it was found that the new model provides a better fit to real life datasets than the Topp Leone Burr XII, Topp Leone Lomax and Exponentiated Generalized Flexible Weibull distributions. | ||
| کلیدواژهها | ||
| Flexible Weibull distribution؛ Mathematical Statistics؛ Topp-Leone family of distributions | ||
| مراجع | ||
|
[1] S. Abbas, S. A. Taqi, F. Mustapha, M. Murtaza and M. Q. Shahbaz, Topp-Leone Inverse Weibull Distribution: Theory and Application, Eur. J. Pure Appl. Math. , 10(5)(2017) 1005-1022. 1005-1022. [2] Z. Ahmad and B. Iqbal, Generalized flexible Weibull extension distribution, Circ. Comput., 2(4)(2017) 68-75. [3] A. Al-Shomrani, O. Arif, A. Shawky, S. Hanif and M. Q. Shahbaz, Topp-Leone Family of Distributions: Some Properties and Application, Pak. J. Stat. Oper. Res., 12(3)(2016) 443-451. 443-451. [4] G. R. Aryal, E. M. Ortega, G. Hamedani and H. M. Yousof, The Topp-Leone Generated Weibull Distribution: Regression Model, Characterizations and Applications, Int. J. Stat. Probab., 6(1)(2016) 126-141. [5] H. A. Bayoud, Estimating the shape parameter of Topp-Leone distribution based on Progressive Type-II censored samples, Rev. Stat. J., 14(4)(2016) 415-431. [6] M. Babington, C. D. Lai and R. Zitikis, A flexible Weibull Extension, Reliab. Eng. Syst. Saf., 92(6)(2007) 719-726. [7] E. Brito, G. M. Cordeiro, H. M. Yousof, M. Alizadeh and G. O. Silva, The Topp-Leone odd log-logistic family of distributions, J. Stat. Comput. Simul., 87(15)(2017) 3040-3058. [8] B. S. El-Desouky, A. Mustafa and S. AL-Garash, The beta flexible Weibull distribution, arXiv preprint arXiv:1703.05757, 2017. [9] B. S. El-Desouky, A. Mustafa and S. Al-Garash, The exponential flexible Weibull extension distribution, Open J. Modell. Simul., 5(1) (2017) 83-97. [10] A. El-Gohary, A. H. El-Bassiouny and M. El-Morshedy, Exponentiated flexible Weibull extension distribution, Int. J. Math. and Appl., 3(3-A) (2015) 1-12. [11] A. Genc, Moments of order statistics of Topp-Leone distribution, Stat. Pap., 53(1)(2012) 117-131. [12] S. M. T. K. Mir Mostafaee, M. Mahdizadeh and M. Aminzadeh, Bayesian inference for the Topp-Leone distribution based on lower k-record values, Jpn. J. Ind. Appl. Math., 33(3) (2016) 637-669. [13] A. Mustafa, B. S. El-Desouky and S. Al-Garash, The exponentiated generalized flexible Weibull extension distribution, Fundam. J. Math. Math. Sci., 6(2)(2016) 75-98. [14] P. E. Oguntunde, M. A. Khaleel, H. I. Okagbue and O. A. Odetunmibi, The Topp-Leone Lomax (TLLo) Distribution with Applications to Airbone Communication Transceiver Dataset, Wireless Pers. Commun., 109(1)(2019) 349-360, https://doi.org/10.1007/s11277-019-06568-8. [15] A. Pourdarvish, S. M. T. K. Mirmostafaee and K. Naderi, The exponentiated Topp-Leone distribution: Properties and application, J. Appl. Environ. Biol. Sci., 5(7S) (2015) 251-256. [16] H. M. Reyad and S. A. Othman, The Topp-Leone Burr XII Distribution: Properties and Applications, Br. J. Math. Comput. Sci., 21(5) (2017) 1-15. [17] Y. Sangsanit and W. Bodhisuwan, The Topp-Leone generator of distributions: properties and inferences, Songklanakarin J. Sci. Technol., 38(5) (2016) 537-548. [18] K. Xu, M. Xie, L. C. Tang and S. L. Ho, Application of neural networks in forecasting engine systems reliability, Appl. Soft Comput. , 2(4)(2003) 255-268. | ||
|
آمار تعداد مشاهده مقاله: 16,267 تعداد دریافت فایل اصل مقاله: 9,757 |
||