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efficient ratio-type estimators of finite population mean based on correlation coefficient
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نویسنده
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irfan muhammad ,javed maria ,lin zhengyan
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منبع
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scientia iranica - 2018 - دوره : 25 - شماره : 4-E - صفحه:2361 -2372
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چکیده
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We proposed efficient families of ratio-type estimators to estimate finite population mean using known correlation coefficient between study variable and auxiliary variable by adopting singh and tailor [singh, h. p., and tailor, r. “use of known correlation coefficient in estimating the finite population means”, statistics in transition, 6(4), pp. 555-560 (2003)] estimator and kadilar and cingi [kadilar, c., and cingi, h. “an improvement in estimating the population mean by using the correlation coefficient”, hacettepe journal of mathematics and statistics, 35(1) pp. 103-109. (2006a)] class of estimators in simple random sampling without replacement. the newly proposed estimators behave efficiently as compared to the common unbiased estimator, traditional ratio estimator and the other competing estimators. bias, mean squared error and minimum mean squared error of the proposed ratio-type estimators are derived. moreover, theoretical findings were proven with cooperation of two real data sets.
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کلیدواژه
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auxiliary variable ,bias ,correlation coefficient ,efficiency ,mean squared error ,ratio-type estimators
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آدرس
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zhejiang university, institute of statistics, department of mathematics, china. government college university, department of statistics, pakistan, zhejiang university, institute of statistics, department of mathematics, china. government college university, department of statistics, pakistan, zhejiang university, institute of statistics, department of mathematics, china
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پست الکترونیکی
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zlin@zju.edu.cn
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Authors
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