Estimation of the parameter of L´evy distribution using ranked set sampling
Ranked set sampling is a statistical technique for data collection that generally leads to more efficient estimators than competitors based on simple random sampling. In this paper, we consider estimation of scale parameter of L´evy distribution using a ranked set sample. We derive the best linear u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Amirkabir University of Technology
2021-02-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_4216_6ca51e622a67fa1b786db9282e9c8f47.pdf |
| Summary: | Ranked set sampling is a statistical technique for data collection that generally leads to more efficient estimators than competitors based on simple random sampling. In this paper, we consider estimation of scale parameter of L´evy distribution using a ranked set sample. We derive the best linear unbiased estimator and its variance, based on a ranked set sample. Also we compare numerically, variance of this estimator with mean square error of the maximum likelihood, a median based estimator and an estimator based on Laplace transform. It turns out that the best linear unbiased estimator based on ranked set sampling is more efficient than other mentioned estimators. |
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| ISSN: | 2783-2449 2783-2287 |