Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample
The ranked set sampling (RSS) is a cost-effective method of sampling that can be used in a wide range of statistical problems. In this paper, the shape and the scale parameters of Nadarajah-Haghighi extension of the exponential distribution are estimated based on a simple random sample (SRS) and RSS...
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| Format: | Article |
| Language: | English |
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University of Belgrade
2020-01-01
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| Series: | Yugoslav Journal of Operations Research |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02431900027M.pdf |
| _version_ | 1818573540883955712 |
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| author | Minić Marija |
| author_facet | Minić Marija |
| author_sort | Minić Marija |
| collection | DOAJ |
| description | The ranked set sampling (RSS) is a cost-effective method of sampling that can be used in a wide range of statistical problems. In this paper, the shape and the scale parameters of Nadarajah-Haghighi extension of the exponential distribution are estimated based on a simple random sample (SRS) and RSS. Three cases are considered: 1) the scale parameter is known; 2) the shape parameter is known; 3) both shape and scale parameters are unknown. Observations are done when the ranking mechanism in the ranked set sample is perfect and when it is not. Method of moments, the maximum likelihood method, and a modification of the maximum likelihood method are used. The obtained estimators are compared in terms of their biases and mean square errors (MSE). The results revealed that estimators based on RSS tend to show better properties (smaller bias and MSE) relative to their SRS counterparts, regardless of the quality of the ranking. |
| first_indexed | 2024-12-15T00:12:42Z |
| format | Article |
| id | doaj.art-b0090a2e3c8441fcb5254cc5fe3a0457 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-15T00:12:42Z |
| publishDate | 2020-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-b0090a2e3c8441fcb5254cc5fe3a04572022-12-21T22:42:32ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2020-01-0130217719810.2298/YJOR190415027M0354-02431900027MEstimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sampleMinić Marija0Faculty of Pharmacy, University of Belgrade, Belgrade, SerbiaThe ranked set sampling (RSS) is a cost-effective method of sampling that can be used in a wide range of statistical problems. In this paper, the shape and the scale parameters of Nadarajah-Haghighi extension of the exponential distribution are estimated based on a simple random sample (SRS) and RSS. Three cases are considered: 1) the scale parameter is known; 2) the shape parameter is known; 3) both shape and scale parameters are unknown. Observations are done when the ranking mechanism in the ranked set sample is perfect and when it is not. Method of moments, the maximum likelihood method, and a modification of the maximum likelihood method are used. The obtained estimators are compared in terms of their biases and mean square errors (MSE). The results revealed that estimators based on RSS tend to show better properties (smaller bias and MSE) relative to their SRS counterparts, regardless of the quality of the ranking.http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02431900027M.pdfnadarajah-haghighi extension of the exponential distributionranked set samplingsimple random samplingimperfect ranking |
| spellingShingle | Minić Marija Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample Yugoslav Journal of Operations Research nadarajah-haghighi extension of the exponential distribution ranked set sampling simple random sampling imperfect ranking |
| title | Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample |
| title_full | Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample |
| title_fullStr | Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample |
| title_full_unstemmed | Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample |
| title_short | Estimation of parameters of Nadarajah-Haghighi extension of the exponential distribution using perfect and imperfect ranked set sample |
| title_sort | estimation of parameters of nadarajah haghighi extension of the exponential distribution using perfect and imperfect ranked set sample |
| topic | nadarajah-haghighi extension of the exponential distribution ranked set sampling simple random sampling imperfect ranking |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02431900027M.pdf |
| work_keys_str_mv | AT minicmarija estimationofparametersofnadarajahhaghighiextensionoftheexponentialdistributionusingperfectandimperfectrankedsetsample |