Estimation of the mean of a socially undesirable characteristic
Estimation of the mean of a socially undesirable characteristic
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DOI：
10.1016/j.scient.2013.05.006
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发表时间：
2013-06-01
期刊：
影响因子：
1.4
通讯作者：
Shabbir, J.
中科院分区：
文献类型：
--
作者：
Hussain, Z.;Shabbir, J.
本文主要介绍Hussain和Shabbir [Hussain，Z.和Shabbir，J.“On estimation of mean of a sensitive quantitative variable”，InterStat，（#006），（2007）]以及Gjestvang和Singh [Gjestvang，C.R.和Singh，S.“一个改进的随机反应模型：平均值的估计”，应用统计学杂志，36（12），pp。1361-1367（2009）]。建议的概括有助于获得关于社会不良特征的诚实数据。建议的估计被发现是无条件更有效的变异性。从隐私的角度来看，使用Zaizai等人的隐私保护措施[Zaizai，Y.，Jingu，W.和Junfeng，L“An efficiency and protection based comparison among the quantitative randomized response strategies”，Communications in Statistics-Theory and Methods，38，pp. 400-408（2009）]。与许多加扰响应模型不同，所提出的模型不需要已知加扰变量的参数。对所提出的模型的相对数值效率进行了数值模拟，得到了一些固定的参数值。通过小规模调查研究了该模型的实际应用。(C)2013年谢里夫理工大学。Elsevier B. V.制作和主持。保留所有权利。
This paper focuses on presenting a generalization of the scrambled response models of Hussain and Shabbir [Hussain, Z. and Shabbir, J. "On estimation of mean of a sensitive quantitative variable", InterStat, (#006), (2007)] and Gjestvang and Singh [Gjestvang, C.R. and Singh, S. "An improved randomized response model: estimation of mean", Journal of Applied Statistics, 36(12), pp. 1361-1367 (2009)]. The suggested generalization is helpful in procuring honest data on socially undesirable characteristics. The suggested estimator is found to be unconditionally more efficient in terms of variablity. From a privacy point of view, comparison of the proposed class of models is made using the privacy protection measure by Zaizai et al. [Zaizai, Y., Jingu, W. and Junfeng, L "An efficiency and protection based comparison among the quantitative randomized response strategies", Communications in Statistics-Theory and Methods, 38, pp. 400-408 (2009)]. Unlike many scrambled response models, the proposed class of models is free from the need of known parameters of scrambling variables. The relative numerical efficiency of the proposed model is simulated for some fixed values of the parameters. The practical application of the proposed model is also studied through a small scale survey. (C) 2013 Sharif University of Technology. Production and hosting by Elsevier B.V. All rights reserved.