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Estimation of the parameter of L´evy distribution using ranked set sampling | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 7، دوره 2، شماره 1، اردیبهشت 2021، صفحه 53-60 اصل مقاله (5.89 M) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2020.18499.1037 | ||
| نویسندگان | ||
| Sahar Dorniani* 1؛ Adel Mohammadpour2؛ Nader Nematollahi3 | ||
| 1Department of Statistics, Roudehen Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran | ||
| 3Department of Statistics, Allameh Tabataba’i University, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Best linear unbiased estimator؛ Levy distribution؛ Ranked set sampling؛ Scale parameter | ||
| مراجع | ||
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