本文選題：多主題抽樣調(diào)查 + 最佳線性模型無偏估計(jì)　； 參考：《統(tǒng)計(jì)研究》2016年06期

【摘要】：多主題抽樣調(diào)查在實(shí)際統(tǒng)計(jì)工作中非常普遍,即一項(xiàng)調(diào)查同時(shí)涉及兩個(gè)或多個(gè)目標(biāo)變量(指標(biāo)),對(duì)總體的推算也需要同時(shí)對(duì)這兩個(gè)或多個(gè)指標(biāo)進(jìn)行估計(jì)。通常同一調(diào)查中的多個(gè)目標(biāo)變量之間會(huì)具有相關(guān)性,利用這一信息可以提高對(duì)所關(guān)注調(diào)查指標(biāo)的估計(jì)精度。本文利用多重多元線性模型的方法研究這一問題,討論了最佳線性模型無偏估計(jì)和一般回歸估計(jì),可以看到借助調(diào)查指標(biāo)之間的相關(guān)性,較之常用的單個(gè)響應(yīng)變量的多元線性回歸模型方法,得到的最佳線性模型無偏估計(jì)和一般回歸估計(jì)都可以有效地提高對(duì)總體總量的估計(jì)精度,本文的數(shù)值模擬和實(shí)例分析也驗(yàn)證了這一結(jié)論。
[Abstract]:Multi-topic sampling survey is very common in the actual statistical work, that is, a survey involves two or more target variables (indicators, the overall projection also needs to estimate these two or more indicators at the same time). There is usually a correlation between multiple target variables in the same survey, which can improve the estimation accuracy of the survey indicators concerned. In this paper, we use the method of multiple multivariate linear model to study this problem, and discuss the unbiased estimation and general regression estimation of optimal linear model. Compared with the multivariate linear regression model method of single response variable, the unbiased estimation of the optimal linear model and the general regression estimation can effectively improve the estimation accuracy of the total population. The numerical simulation and example analysis in this paper also verify this conclusion.
【作者單位】： 北京師范大學(xué)資源學(xué)院地表過程與資源生態(tài)國家重點(diǎn)實(shí)驗(yàn)室;國家統(tǒng)計(jì)局農(nóng)村司;中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院;對(duì)外經(jīng)濟(jì)貿(mào)易大學(xué)金融學(xué)院;
【基金】：國家自然科學(xué)基金青年科學(xué)基金項(xiàng)目“抽樣調(diào)查中的小域估計(jì)方法研究”(11301514)資助
【分類號(hào)】：F224
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本文編號(hào)：1871772