Abdullah, Zeyad, Hussain, Nazar, Fawzi, Firas, Abdal-Hammed, Moudher, Khaleel, Mundher. (1400). Estimating parameters of Marshall Olkin Topp Leon exponential distribution via grey wolf optimization and conjugate gradient with application. هنرهای کاربردی, 13(1), 3491-3503. doi: 10.22075/ijnaa.2022.6131
Zeyad M. Abdullah; Nazar K. Hussain; Firas A. Fawzi; Moudher Khalid Abdal-Hammed; Mundher Abdullah Khaleel. "Estimating parameters of Marshall Olkin Topp Leon exponential distribution via grey wolf optimization and conjugate gradient with application". هنرهای کاربردی, 13, 1, 1400, 3491-3503. doi: 10.22075/ijnaa.2022.6131
Abdullah, Zeyad, Hussain, Nazar, Fawzi, Firas, Abdal-Hammed, Moudher, Khaleel, Mundher. (1400). 'Estimating parameters of Marshall Olkin Topp Leon exponential distribution via grey wolf optimization and conjugate gradient with application', هنرهای کاربردی, 13(1), pp. 3491-3503. doi: 10.22075/ijnaa.2022.6131
Abdullah, Zeyad, Hussain, Nazar, Fawzi, Firas, Abdal-Hammed, Moudher, Khaleel, Mundher. Estimating parameters of Marshall Olkin Topp Leon exponential distribution via grey wolf optimization and conjugate gradient with application. هنرهای کاربردی, 1400; 13(1): 3491-3503. doi: 10.22075/ijnaa.2022.6131

Estimating parameters of Marshall Olkin Topp Leon exponential distribution via grey wolf optimization and conjugate gradient with application

International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3491-3503    اصل مقاله (1.13 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6131
نویسندگان
Zeyad M. Abdullah* 1؛ Nazar K. Hussain1؛ Firas A. Fawzi1؛ Moudher Khalid Abdal-Hammed2؛ Mundher Abdullah Khaleel2
1Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq
2Department of Public Administration, Collage of Management and Economics, Tikrit University, Iraq
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 Marshall Olkin Topp Leon Exponential distribution and it was generated using the Marshall Olkin Topp Leon -G family of distributions. It has three parameters and it is very flexible in fitting several and different datasets. Its basic mathematical properties were studied and two methods like maximum likelihood estimation via Gray Wolf optimization and Conjugate Gradient 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 other distributions.
کلیدواژه‌ها
Marshall Olkin distribution؛ Topp Leon-G family of distributions؛ Mathematical properties؛ Exponential distribution
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