Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling
In this paper, we have considered that ranked set sampling is able to estimate the parameters of exponentiated Pareto distribution. The method with which the maximum likelihood estimators for the parameters of exponentiated Pareto distribution is studied is numerical since there is no presence or po...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-06-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/11/6/293 |
| _version_ | 1797490002091835392 |
|---|---|
| author | Hossein Jabbari Khamnei Ieva Meidute-Kavaliauskiene Masood Fathi Asta Valackienė Shahryar Ghorbani |
| author_facet | Hossein Jabbari Khamnei Ieva Meidute-Kavaliauskiene Masood Fathi Asta Valackienė Shahryar Ghorbani |
| author_sort | Hossein Jabbari Khamnei |
| collection | DOAJ |
| description | In this paper, we have considered that ranked set sampling is able to estimate the parameters of exponentiated Pareto distribution. The method with which the maximum likelihood estimators for the parameters of exponentiated Pareto distribution is studied is numerical since there is no presence or possibility of a closed-form at the hands of estimators or any other intellectual. The numerical approach is a well-suited one for this study as there has been struggles in achieving it with any other technique. In order to compare the different sampling methods, simulation studies are performed as the main technique. As for the illustrative purposes, analysis of a simulated dataset is desired for the objective of the presentation. The conclusion that we can reach based on these is that the estimators based on the ranked set sample have far better efficiency than the simple random sample at the same sample size. |
| first_indexed | 2024-03-10T00:24:46Z |
| format | Article |
| id | doaj.art-69e46589394c4ccfb98dc3f8a24d1b43 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T00:24:46Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-69e46589394c4ccfb98dc3f8a24d1b432023-11-23T15:35:38ZengMDPI AGAxioms2075-16802022-06-0111629310.3390/axioms11060293Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random SamplingHossein Jabbari Khamnei0Ieva Meidute-Kavaliauskiene1Masood Fathi2Asta Valackienė3Shahryar Ghorbani4Department of Statistics, Faculty of Mathematics-Statistics and Computer Science, University of Tabriz, Tabriz 5166616471, IranFaculty of Business Management, Vilnius Gediminas Technical University, Sauletekio al. 11, 10223 Vilnius, LithuaniaDivision of Intelligent Production Systems, School of Engineering Science, University of Skövde, 54128 Skövde, SwedenInstitute of Business and Economics, Faculty of Public Governance and Business, Mykolas Romeris University, Ateities Street 20, Room C-V-509, 08303 Vilnius, LithuaniaProduction Management Department, University of Sakarya, Sakarya 54050, TurkeyIn this paper, we have considered that ranked set sampling is able to estimate the parameters of exponentiated Pareto distribution. The method with which the maximum likelihood estimators for the parameters of exponentiated Pareto distribution is studied is numerical since there is no presence or possibility of a closed-form at the hands of estimators or any other intellectual. The numerical approach is a well-suited one for this study as there has been struggles in achieving it with any other technique. In order to compare the different sampling methods, simulation studies are performed as the main technique. As for the illustrative purposes, analysis of a simulated dataset is desired for the objective of the presentation. The conclusion that we can reach based on these is that the estimators based on the ranked set sample have far better efficiency than the simple random sample at the same sample size.https://www.mdpi.com/2075-1680/11/6/293efficiencyexponentiated Pareto distributionmaximum likelihood estimatororder statisticsranked set samplingsimple random sampling |
| spellingShingle | Hossein Jabbari Khamnei Ieva Meidute-Kavaliauskiene Masood Fathi Asta Valackienė Shahryar Ghorbani Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling Axioms efficiency exponentiated Pareto distribution maximum likelihood estimator order statistics ranked set sampling simple random sampling |
| title | Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling |
| title_full | Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling |
| title_fullStr | Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling |
| title_full_unstemmed | Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling |
| title_short | Parameter Estimation of the Exponentiated Pareto Distribution Using Ranked Set Sampling and Simple Random Sampling |
| title_sort | parameter estimation of the exponentiated pareto distribution using ranked set sampling and simple random sampling |
| topic | efficiency exponentiated Pareto distribution maximum likelihood estimator order statistics ranked set sampling simple random sampling |
| url | https://www.mdpi.com/2075-1680/11/6/293 |
| work_keys_str_mv | AT hosseinjabbarikhamnei parameterestimationoftheexponentiatedparetodistributionusingrankedsetsamplingandsimplerandomsampling AT ievameidutekavaliauskiene parameterestimationoftheexponentiatedparetodistributionusingrankedsetsamplingandsimplerandomsampling AT masoodfathi parameterestimationoftheexponentiatedparetodistributionusingrankedsetsamplingandsimplerandomsampling AT astavalackiene parameterestimationoftheexponentiatedparetodistributionusingrankedsetsamplingandsimplerandomsampling AT shahryarghorbani parameterestimationoftheexponentiatedparetodistributionusingrankedsetsamplingandsimplerandomsampling |