Solving Fuzzy Rayleigh Model with Application
In this article, deriving and estimating the two parameters of Rayleigh distribution by utilizing the maximum likelihood estimation method, regular least squares estimation method and moment estimation method. The simulation technique for many samples sites and many numbers of initial values are us...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2023-09-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8149 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850054571754258432 |
|---|---|
| author | Suhaila N. Abdullah |
| author_facet | Suhaila N. Abdullah |
| author_sort | Suhaila N. Abdullah |
| collection | DOAJ |
| description |
In this article, deriving and estimating the two parameters of Rayleigh distribution by utilizing the maximum likelihood estimation method, regular least squares estimation method and moment estimation method. The simulation technique for many samples sites and many numbers of initial values are used, then attaining that the moment estimation method are the best one from another method by using mean squares error procedures. The interval estimation is used to find the estimator of location and scale parameters for Rayleigh distribution. The triangular membership functions are employed to find the fuzzy estimate parameters for the moment method of Rayleigh distribution. Finally utilizing the ranking function to transform the fuzzy parameters to crisp parameters and include that the fuzzy estimate parameters are the best.
|
| format | Article |
| id | doaj-art-7b8d3e9dac1943b196ee8f626ff1f76b |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-7b8d3e9dac1943b196ee8f626ff1f76b2025-08-20T02:52:12ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862023-09-0121410.21123/bsj.2023.8149Solving Fuzzy Rayleigh Model with ApplicationSuhaila N. Abdullah0College of Energy and Environmental Science, AL Karkh University of Science, Baghdad, Iraq In this article, deriving and estimating the two parameters of Rayleigh distribution by utilizing the maximum likelihood estimation method, regular least squares estimation method and moment estimation method. The simulation technique for many samples sites and many numbers of initial values are used, then attaining that the moment estimation method are the best one from another method by using mean squares error procedures. The interval estimation is used to find the estimator of location and scale parameters for Rayleigh distribution. The triangular membership functions are employed to find the fuzzy estimate parameters for the moment method of Rayleigh distribution. Finally utilizing the ranking function to transform the fuzzy parameters to crisp parameters and include that the fuzzy estimate parameters are the best. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8149Fuzzy estimated parameters, Intervals estimation, Maximum Likelihood method, Moment method, Rayleigh distribution, Regular least square method |
| spellingShingle | Suhaila N. Abdullah Solving Fuzzy Rayleigh Model with Application مجلة بغداد للعلوم Fuzzy estimated parameters, Intervals estimation, Maximum Likelihood method, Moment method, Rayleigh distribution, Regular least square method |
| title | Solving Fuzzy Rayleigh Model with Application |
| title_full | Solving Fuzzy Rayleigh Model with Application |
| title_fullStr | Solving Fuzzy Rayleigh Model with Application |
| title_full_unstemmed | Solving Fuzzy Rayleigh Model with Application |
| title_short | Solving Fuzzy Rayleigh Model with Application |
| title_sort | solving fuzzy rayleigh model with application |
| topic | Fuzzy estimated parameters, Intervals estimation, Maximum Likelihood method, Moment method, Rayleigh distribution, Regular least square method |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8149 |
| work_keys_str_mv | AT suhailanabdullah solvingfuzzyrayleighmodelwithapplication |