Quartile ranked set sampling for estimating the distribution function
Quartile ranked set sampling (QRSS) method is suggested by Muttlak (2003) for estimating the population mean. In this article, the QRSS procedure is considered to estimate the distribution function of a random variable. The proposed QRSS estimator is compared with its counterparts based on simple ra...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X15000279 |
| _version_ | 1818457342647205888 |
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| author | Amer Ibrahim Al-Omari |
| author_facet | Amer Ibrahim Al-Omari |
| author_sort | Amer Ibrahim Al-Omari |
| collection | DOAJ |
| description | Quartile ranked set sampling (QRSS) method is suggested by Muttlak (2003) for estimating the population mean. In this article, the QRSS procedure is considered to estimate the distribution function of a random variable. The proposed QRSS estimator is compared with its counterparts based on simple random sampling (SRS) and ranked set sampling (RSS) schemes. It is found that the suggested estimator of the distribution function of a random variable X for a given x is biased and more efficient than its competitors using SRS and RSS. |
| first_indexed | 2024-12-14T22:41:03Z |
| format | Article |
| id | doaj.art-c4b0906a6e8446b78731eec1d06e30a8 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-14T22:41:03Z |
| publishDate | 2016-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-c4b0906a6e8446b78731eec1d06e30a82022-12-21T22:44:59ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-04-0124230330810.1016/j.joems.2015.01.006Quartile ranked set sampling for estimating the distribution functionAmer Ibrahim Al-OmariQuartile ranked set sampling (QRSS) method is suggested by Muttlak (2003) for estimating the population mean. In this article, the QRSS procedure is considered to estimate the distribution function of a random variable. The proposed QRSS estimator is compared with its counterparts based on simple random sampling (SRS) and ranked set sampling (RSS) schemes. It is found that the suggested estimator of the distribution function of a random variable X for a given x is biased and more efficient than its competitors using SRS and RSS.http://www.sciencedirect.com/science/article/pii/S1110256X15000279Distribution functionQuartile ranked set samplingSimple random samplingRanked set samplingRelative efficiency |
| spellingShingle | Amer Ibrahim Al-Omari Quartile ranked set sampling for estimating the distribution function Journal of the Egyptian Mathematical Society Distribution function Quartile ranked set sampling Simple random sampling Ranked set sampling Relative efficiency |
| title | Quartile ranked set sampling for estimating the distribution function |
| title_full | Quartile ranked set sampling for estimating the distribution function |
| title_fullStr | Quartile ranked set sampling for estimating the distribution function |
| title_full_unstemmed | Quartile ranked set sampling for estimating the distribution function |
| title_short | Quartile ranked set sampling for estimating the distribution function |
| title_sort | quartile ranked set sampling for estimating the distribution function |
| topic | Distribution function Quartile ranked set sampling Simple random sampling Ranked set sampling Relative efficiency |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X15000279 |
| work_keys_str_mv | AT ameribrahimalomari quartilerankedsetsamplingforestimatingthedistributionfunction |