Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling

Cheng C. Chen; Sarjinder Singh

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Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling

机译：随机响应采样中使用加扰变量的高阶矩估计多项式比例

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摘要

An extension to estimating multinomial proportions of potentially sensitive attributes in survey sampling is proposed using higher order moments of scrambling variables at the estimation stage to produce unbiased estimators. The variance and covariance expressions are derived and the relative efficiency of the proposed estimators based on scrambling variables is investigated.

机译：提出了一种在估计阶段使用扰码变量的高阶矩来估计调查抽样中潜在敏感属性的多项比例的扩展，以产生无偏估计量。推导了方差和协方差表达式，并研究了基于加扰变量的估计量的相对效率。

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《Journal of Modern Applied Statistical Methods》 |2012年第1期|共17页
作者
Cheng C. Chen; Sarjinder Singh;
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原文格式 PDF
正文语种 eng
中图分类计量学;
关键词
Estimation of sensitive multinomial proportions; randomized response sampling; respondents protection;

机译：敏感多项式比例的估计;随机响应抽样;受访者保护;

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专利

1. 随机变量函数的矩估计不等式 [J] . 李柏年, 胡舒合数学季刊：英文版 . 1995,第001期
2. Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling [J] . Cheng C. Chen, Sarjinder Singh Journal of Modern Applied Statistical Methods . 2012,第1期

机译：随机响应采样中使用加扰变量的高阶矩估计多项式比例
3. Utilization of higher order moments of scrambling variables in randomized response sampling [J] . Singh S, Chen CC Journal of Statistical Planning and Inference . 2009,第9期

机译：加扰变量的高阶矩在随机响应采样中的利用
4. Some alternative additive randomized response models for estimation of population mean of quantitative sensitive variable in the presence of scramble variable [J] . Singh G. N., Kumar Amod, Vishwakarma Gajendra K. Communications in Statistics . 2020,第11a12期

机译：一些替代的添加剂随机响应模型，用于扰乱变量存在定量敏感变量的群体平均值
5. Sequence-Based Estimation of Multinomial Random Variables [C] . John Oommen Australasian joint conference on artificial intelligence . 2016

机译：基于序列的多项式随机变量估计
6. On two-stage and three-stage sampling procedures for fixed-width interval estimation of the common variance of correlated normal random variables. [D] . Haner, Dina Marie. 2012

机译：在两阶段和三阶段采样过程中，对相关正态随机变量的共同方差进行固定宽度区间估计。
7. Estimation of Sensitive Proportion by Randomized Response Data in Successive Sampling [O] . Bo Yu, Zongda Jin, Jiayong Tian, 2015

机译：连续抽样中随机响应数据估计敏感比例
8. Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling [O] . Chen Cheng C., Singh Sarjinder 2012

机译：随机响应采样中使用高阶加扰变量的多项式比例估计

Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling

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