含有測量誤差的Panel數(shù)據(jù)模型的統(tǒng)計推斷
本文選題:Panel數(shù)據(jù)模型 + 測量誤差。 參考:《中國科學(xué):數(shù)學(xué)》2017年09期
【摘要】:本文考慮含有測量誤差的Panel數(shù)據(jù)模型在約束條件下的參數(shù)估計和檢驗問題.首先,給出未知參數(shù)向量的糾正最小二乘估計,在一些正則條件下研究其漸近性質(zhì).其次,對線性約束條件的假設(shè)檢驗問題,利用原假設(shè)和備擇假設(shè)下糾正殘差平方和的差構(gòu)造檢驗統(tǒng)計量,并證明該檢驗統(tǒng)計量的漸近分布.最后,通過數(shù)值模擬研究驗證所提估計和檢驗方法的有效性.
[Abstract]:In this paper, the problem of parameter estimation and test for Panel data model with measurement error under constraint conditions is considered. First, the corrected least square estimators of unknown parameter vectors are given, and their asymptotic properties are studied under some regular conditions. Secondly, the test statistics are constructed by using the difference between the original and alternative assumptions to correct the sum of squared residuals, and the asymptotic distribution of the test statistics is proved. Finally, the effectiveness of the proposed method is verified by numerical simulation.
【作者單位】: 北京工業(yè)大學(xué)應(yīng)用數(shù)理學(xué)院;山西師范大學(xué)數(shù)學(xué)與計算機科學(xué)學(xué)院;北京工業(yè)大學(xué)北京科學(xué)與工程計算研究院;
【基金】:國家自然科學(xué)基金(批準(zhǔn)號:11471029) 北京市自然科學(xué)基金(批準(zhǔn)號:1142002) 山西省自然科學(xué)基金(批準(zhǔn)號:2013011002-1)資助項目
【分類號】:O212.1
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