On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter Estimation
The extended neoteric ranked set sampling (ENRSS) plan proposed by Taconeli and Cabral has proven to outperform many one stages and two stages ranked set sampling plans when estimating the mean and the variance for different populations. Therefore, in this paper, the likelihood function based on ENR...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/1697481 |
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| author | Fathy H. Riad Mohamed A. Sabry Ehab M. Almetwally Ramy Aldallal Randa Alharbi Md. Moyazzem Hossain |
| author_facet | Fathy H. Riad Mohamed A. Sabry Ehab M. Almetwally Ramy Aldallal Randa Alharbi Md. Moyazzem Hossain |
| author_sort | Fathy H. Riad |
| collection | DOAJ |
| description | The extended neoteric ranked set sampling (ENRSS) plan proposed by Taconeli and Cabral has proven to outperform many one stages and two stages ranked set sampling plans when estimating the mean and the variance for different populations. Therefore, in this paper, the likelihood function based on ENRSS is proposed and used for estimation of the parameters of the inverted Nadarajah–Haghighi distribution. An extensive Monte Carlo simulation study is conducted to assess the performance of the proposed likelihood function, and the efficiency of the estimated parameters based on ENRSS is compared with the well-known ranked set sampling (RSS) plan and some of its modifications. These modifications include the extended ranked set sampling (ERSS) plan and the neoteric ranked set sampling (NRSS) plan. The results as foreseeable were very satisfactory and gave similar results to Taconeli and Cabral’s 2019 results. |
| format | Article |
| id | doaj-art-0ca3379d9a55453d94e6c6fed9da775a |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0ca3379d9a55453d94e6c6fed9da775a2025-02-03T07:24:26ZengWileyComplexity1099-05262022-01-01202210.1155/2022/1697481On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter EstimationFathy H. Riad0Mohamed A. Sabry1Ehab M. Almetwally2Ramy Aldallal3Randa Alharbi4Md. Moyazzem Hossain5Mathematics DepartmentDepartment of MathematicsDepartment of Mathematical StatisticsCollege of Business Administration in Hotat Bani TamimDepartment of StatisticsDepartment of StatisticsThe extended neoteric ranked set sampling (ENRSS) plan proposed by Taconeli and Cabral has proven to outperform many one stages and two stages ranked set sampling plans when estimating the mean and the variance for different populations. Therefore, in this paper, the likelihood function based on ENRSS is proposed and used for estimation of the parameters of the inverted Nadarajah–Haghighi distribution. An extensive Monte Carlo simulation study is conducted to assess the performance of the proposed likelihood function, and the efficiency of the estimated parameters based on ENRSS is compared with the well-known ranked set sampling (RSS) plan and some of its modifications. These modifications include the extended ranked set sampling (ERSS) plan and the neoteric ranked set sampling (NRSS) plan. The results as foreseeable were very satisfactory and gave similar results to Taconeli and Cabral’s 2019 results.http://dx.doi.org/10.1155/2022/1697481 |
| spellingShingle | Fathy H. Riad Mohamed A. Sabry Ehab M. Almetwally Ramy Aldallal Randa Alharbi Md. Moyazzem Hossain On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter Estimation Complexity |
| title | On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter Estimation |
| title_full | On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter Estimation |
| title_fullStr | On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter Estimation |
| title_full_unstemmed | On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter Estimation |
| title_short | On Extended Neoteric Ranked Set Sampling Plan: Likelihood Function Derivation and Parameter Estimation |
| title_sort | on extended neoteric ranked set sampling plan likelihood function derivation and parameter estimation |
| url | http://dx.doi.org/10.1155/2022/1697481 |
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