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estimation of the parameter of l´evy distribution using ranked set sampling
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نویسنده
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dorniani sahar ,mohammadpour adel ,nematollahi nader
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منبع
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aut journal of mathematics and computing - 2021 - دوره : 2 - شماره : 1 - صفحه:53 -60
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چکیده
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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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کلیدواژه
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best linear unbiased estimator ,levy distribution ,ranked set sampling ,scale parameter
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آدرس
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islamic azad university, roudehen branchbranch, department of statistics, iran, amirkabir university of technology (tehran polytechnic), department of mathematics and computer science, iran, allameh tabataba’i university, department of statistics, iran
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پست الکترونیکی
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na_nemat@yahoo.com
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Authors
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