一种可供选择的数量特征敏感性问题随机化调查新模型  

A NEW RANDOMIZED SURVEY MODEL OF SELECTIVE QUANTITATIVE SENSITIVE QUESTIONS

作　　者：龙梅[1] 马生昀[1] 布和[1] 张军[1] Longmei;MA Shengyun;Buhe;ZHANG Jun(College of Science,Inner Mongolia Agricultural University,Hohhot 010018,China)

机构地区：[1]内蒙古农业大学理学院,呼和浩特010018

出　　处：《内蒙古农业大学学报（自然科学版）》2020年第3期84-88,共5页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

基　　金：国家自然科学基金(71661027).

摘　　要：本文沿着Greenberg不相关问题模型、孙山泽和孙明举提出的随机变量和模型与饶贤清提出的改进的随机变量和模型的设计思路,创新性引入随机使用2个随机化装置的想法,提出1种新的数量特征敏感问题随机化模型。新模型设计中比已有的3个模型增加一层随机性,给出敏感问题均值的估计量,计算该估计量的数学期望和方差以及模型对个体的保护度。文中对随机变量和模型与改进的随机变量和模型也进行了保护度计算,并在保护度相同即保证公平比较的前提下,比较了新模型与已有的3个模型的效率。A new randomized survey model of quantitative sensitive questions is given in this paper,innovatively introducing the idea with two randomized installation randomly,along the ideas of Greenberg irrelevant problem model,sum of random variable model and improved sum of random variable model.The new model add a layer of randomness compared with the three existing models,estimator of mean about the sensitive questions,mathematical expectation and variance of the estimator,and the protection degree of the model to the individual are calculated.The protection degree of sum of random variable model and improved sum of random variable model is also calculated,and the new model's efficiency is compared with the three existing models under same protection degree to ensure a fair comparison.

关 键 词：数量特征敏感性问题 随机化调查模型 Greenberg模型 随机变量和模型 无关问题模型 

分 类 号：O212.2[理学—概率论与数理统计]