Mixed Topp-Leone-Kumaraswamy distribution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 699-715 اصل مقاله (558.49 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5122 | ||
| نویسنده | ||
| Nashaat Jasim Al-Anber* | ||
| Department of Information Technology, Technical College of Management-Baghdad, Middle Technical University, Baghdad, Iraq | ||
| چکیده | ||
| In this article, a new generalization of the Topp-Leone distribution with a unit interval, namely Mixed Topp-Leone-Kumaraswamy distribution is defined and studied. The mathematical properties of this mixing distribution are described. Moments, quantile function, R?nyi entropy, incomplete moments and moments of residual are obtained for the new Mixed Topp-Leone - Kumaraswamy distribution. The maximum likelihood (MLE), Crans (CM) , Percentile (PM) and Particle Swarm Optimization(PSO) estimators of the parameters are derived. The percentile Method is more efficient method as compred to the others. Two real data sets are used to illustrate an application and superiority of the proposed distribution. | ||
| کلیدواژهها | ||
| In this article؛ a new generalization of the Topp-Leone distribution with a unit interval؛ namely Mixed Topp-Leone-Kumaraswamy distribution is defined and studied. The mathematical properties of this mixing distribution are described. Moments؛ quantile function؛ R?nyi entropy؛ incomplete moments and moments of residual are obtained for the new Mixed Topp-Leone - Kumaraswamy distribution. The maximum likelihood (MLE)؛ Crans (CM)؛ Percentile (PM) and Particle Swarm Optimization(PSO) estimators of the parameters are derived. The percentile Method is more efficient method as compred to the others. Two real data sets are used to illustrate an application and superiority of the pr؛ Kumaraswamy distribution؛ mixing Transformation؛ Moments؛ Renyi’s entropy؛ maximum likelihood method؛ Cran method؛ Percentile Method؛ Particle Swarm method | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 16,064 تعداد دریافت فایل اصل مقاله: 9,793 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 720 |
| تعداد مقالات | 10,356 |
| تعداد مشاهده مقاله | 72,718,491 |
| تعداد دریافت فایل اصل مقاله | 64,346,332 |