The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set Sampling
Ranked Set Sampling (RSS) is a sampling method commonly used in recent years. This sampling method is especially useful for studies in medicine, agriculture, forestry and ecology. In this study, the widely used ranking error models in RSS literature are investigated. This study is aimed to explore...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2023-07-01
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| Series: | Revstat Statistical Journal |
| Subjects: | |
| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/406 |
| _version_ | 1797768713328394240 |
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| author | Sami Akdeniz Tugba Ozkal Yildiz |
| author_facet | Sami Akdeniz Tugba Ozkal Yildiz |
| author_sort | Sami Akdeniz |
| collection | DOAJ |
| description |
Ranked Set Sampling (RSS) is a sampling method commonly used in recent years. This sampling method is especially useful for studies in medicine, agriculture, forestry and ecology. In this study, the widely used ranking error models in RSS literature are investigated. This study is aimed to explore the effects of ranking error models on the mean estimators based on RSS and some of its modified methods such as Extreme RSS (ERSS) and Percentile RSS (PRSS) for different distribution, set and cycle size in infinite population. Monte Carlo simulation study is conducted for this purpose. Additionally, the study is supported by real life data. It is observed that, RSS and some of its modified methods shows better results than Simple Random Sampling (SRS).
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| first_indexed | 2024-03-12T20:57:14Z |
| format | Article |
| id | doaj.art-a10fef93cafd487ba117c1f1512cd9eb |
| institution | Directory Open Access Journal |
| issn | 1645-6726 2183-0371 |
| language | English |
| last_indexed | 2024-03-12T20:57:14Z |
| publishDate | 2023-07-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj.art-a10fef93cafd487ba117c1f1512cd9eb2023-07-31T14:49:04ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712023-07-0121310.57805/revstat.v21i3.406The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set SamplingSami Akdeniz 0Tugba Ozkal Yildiz 1Dokuz Eylul UniversityDokuz Eylul University Ranked Set Sampling (RSS) is a sampling method commonly used in recent years. This sampling method is especially useful for studies in medicine, agriculture, forestry and ecology. In this study, the widely used ranking error models in RSS literature are investigated. This study is aimed to explore the effects of ranking error models on the mean estimators based on RSS and some of its modified methods such as Extreme RSS (ERSS) and Percentile RSS (PRSS) for different distribution, set and cycle size in infinite population. Monte Carlo simulation study is conducted for this purpose. Additionally, the study is supported by real life data. It is observed that, RSS and some of its modified methods shows better results than Simple Random Sampling (SRS). https://revstat.ine.pt/index.php/REVSTAT/article/view/406ranked set samplingranking error modelsrelative efficiencymean estimatorabalone dataset |
| spellingShingle | Sami Akdeniz Tugba Ozkal Yildiz The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set Sampling Revstat Statistical Journal ranked set sampling ranking error models relative efficiency mean estimator abalone dataset |
| title | The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set Sampling |
| title_full | The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set Sampling |
| title_fullStr | The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set Sampling |
| title_full_unstemmed | The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set Sampling |
| title_short | The Effects of Ranking Error Models on Mean Estimators Based on Ranked Set Sampling |
| title_sort | effects of ranking error models on mean estimators based on ranked set sampling |
| topic | ranked set sampling ranking error models relative efficiency mean estimator abalone dataset |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/406 |
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