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一种广义比估计及其性质的研究
Approach to a Generalized Ratio Estimator and the Optimality

DOI: 10.12677/SA.2019.86101, PP. 895-900

Keywords: 比估计，均方误差，抽样调查
Ratio Estimator, Mean Square Error, Survey Sampling

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Abstract:

抽样调查中比估计是一种可以提高抽样精度的估计方法，本文在一般比估计基础之上提出一种广义比估计方法，并说明一般比估计方法只是广义比估计方法的特例。接着本文中讨论了广义比估计的最优值及其估计量的优良性，最后本文中讨论了一个实际应用实例。
Ratio estimation of population totals is one of the oldest uses of auxiliary information in survey sampling. A new generalized ratio estimator is proposed in this article, and the usual ratio esti-mator is a special case of the new generalized ratio estimator. Then this article discusses under what circumstances, the mean squared error is minimum. Also the minimum mean squared error is derived. Finally, a meaningful application is given.

References

[1]  李金昌. 应用抽样技术[M]. 北京: 科学出版社, 2010: 98-122.
[2]  冯士雍, 施锡铨. 抽样调查-理论, 方法与实践[M]. 上海: 上海科学技术出版社, 1994: 20-30.
[3]  孙山泽. 抽样调查[M]. 北京: 北京大学出版社, 2004: 13-50.
[4]  Cochran, W.G. (1978) Contributions to Survey Sampling and Applied Statistics. Academic Press Inc., New York, 3-10.
https://doi.org/10.1016/B978-0-12-204750-3.50008-3
[5]  Fuller, W.A. (2009) Sampling Statistics. John Wiley & Sons Inc., Hoboken, NJ, 96-110.
[6]  Chaudhuri, A. and Stenger, H. (2005) Survey Sampling Theory and Methods. Second Edition, Taylor & Francis Group, New York, 48-60.
https://doi.org/10.1201/9781420028638
[7]  Foreman, E.K. (1991) Survey Sampling Principles. Marcel Dekker Inc., New York, 48-60.
[8]  倪加勋(主译), 孙山泽(校译). 抽样调查[M]. 北京: 中国统计出版社, 1997: 229-242.
[9]  Page, C., Kreling, D. and Matsumura, E.M. (1993) Comparison of the Mean Per Unit and Ratio Estimators under a Simple Applications-Motivated Model. Statistics & Probability Letters, 17, 97-104.
https://doi.org/10.1016/0167-7152(93)90003-2
[10]  Nassiuma, D.K. (2001) Survey Sampling: Theory and Methods. Nairobi University Press, Nairobi, 50-85.
[11]  Sarndal, C.-E., Bengt, S. and Jan, W. (1992) Model Assisted Survey Sampling. Springer-Verlag, New York, 31-60.
[12]  Cassel, C.M., Sarndal, C.E. and Wretman, J.H. (1977) Foundation of Inference in Survey Sampling. John Wiley, New York, 15-30.
[13]  邹国华, 冯士雍. 广义比估计与广义差估计及其优良性[J]. 系统科学与数学, 1998, 18(3): 359-365.

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