Ratio estimator for the population mean using ranked set sampling

Ratio estimator for the population mean using ranked set sampling
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DOI:
10.1007/s00362-007-0079-y
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发表时间:
2009-03-01
期刊:
影响因子:
1.3
通讯作者:
Cingi, Hulya
Cingi, Hulya
中科院分区:
数学2区
文献类型:
--
作者:
Kadilar, Cem;Unyazici, Yesim;Cingi, Hulya

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在简单随机抽样中,我们采用Samawi和Muttlak(Biometr J 38:753-764,1996)提出的使用秩集抽样的比率估计,以Prasad(Commun Stat Theory Methods 18:379-392,1989)为基础,采用总体均值的比率估计。理论上,我们证明了在所有条件下,总体均值的比率估计比Prasad(1989)中的比率估计更有效。此外,我们支持这一理论结果的帮助下,一个数值例子。
We adapt the ratio estimation using ranked set sampling, suggested by Samawi and Muttlak (Biometr J 38:753-764, 1996), to the ratio estimator for the population mean, based on Prasad (Commun Stat Theory Methods 18:379-392, 1989), in simple random sampling. Theoretically, we show that the proposed ratio estimator for the population mean is more efficient than the ratio estimator, in Prasad (1989), in all conditions. In addition, we support this theoretical result with the aid of a numerical example.