An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic Data
In this paper, we apply the Ranked Set Sampling (RSS) technique to economic data in the form of homescan market research data set for the meat food group. The RSS method is then extended to select sampling units based on the Probability-Proportional-to-Size (PPS) approach. The new proposed ranked se...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Austrian Statistical Society
2024-01-01
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| Series: | Austrian Journal of Statistics |
| Online Access: | https://www.ajs.or.at/index.php/ajs/article/view/1622 |
| _version_ | 1827379009402437632 |
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| author | Saeid Amiri Hossein Hassani Saeed Heravi |
| author_facet | Saeid Amiri Hossein Hassani Saeed Heravi |
| author_sort | Saeid Amiri |
| collection | DOAJ |
| description | In this paper, we apply the Ranked Set Sampling (RSS) technique to economic data in the form of homescan market research data set for the meat food group. The RSS method is then extended to select sampling units based on the Probability-Proportional-to-Size (PPS) approach. The new proposed ranked set sampling, using the PPS-derived method, RPPS, is assessed via Monte Carlo investigations and an extensive homescan data set to evaluate its performances. The results are promising and in line with theoretical and simulation studies, showing that the RPPS technique is more reliable and has a smaller variance than the PPS route.
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| first_indexed | 2024-03-08T13:04:58Z |
| format | Article |
| id | doaj.art-232dbbd7504f42e88c30cce0c1806581 |
| institution | Directory Open Access Journal |
| issn | 1026-597X |
| language | English |
| last_indexed | 2024-03-08T13:04:58Z |
| publishDate | 2024-01-01 |
| publisher | Austrian Statistical Society |
| record_format | Article |
| series | Austrian Journal of Statistics |
| spelling | doaj.art-232dbbd7504f42e88c30cce0c18065812024-01-18T20:26:35ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2024-01-0153210.17713/ajs.v53i2.1622An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic DataSaeid AmiriHossein HassaniSaeed HeraviIn this paper, we apply the Ranked Set Sampling (RSS) technique to economic data in the form of homescan market research data set for the meat food group. The RSS method is then extended to select sampling units based on the Probability-Proportional-to-Size (PPS) approach. The new proposed ranked set sampling, using the PPS-derived method, RPPS, is assessed via Monte Carlo investigations and an extensive homescan data set to evaluate its performances. The results are promising and in line with theoretical and simulation studies, showing that the RPPS technique is more reliable and has a smaller variance than the PPS route. https://www.ajs.or.at/index.php/ajs/article/view/1622 |
| spellingShingle | Saeid Amiri Hossein Hassani Saeed Heravi An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic Data Austrian Journal of Statistics |
| title | An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic Data |
| title_full | An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic Data |
| title_fullStr | An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic Data |
| title_full_unstemmed | An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic Data |
| title_short | An Efficient Variant of Ranked Set Sampling, Probability Proportional to Size with Application to Economic Data |
| title_sort | efficient variant of ranked set sampling probability proportional to size with application to economic data |
| url | https://www.ajs.or.at/index.php/ajs/article/view/1622 |
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