基于分位数自适应LASSO方法线性面板模型的变点估计Change Point Estimation in Linear Panel Model Via Quantile Adaptive LASSO Method
陈小红,齐培艳
摘要(Abstract):
采用分位数自适应LASSO方法针对线性面板数据模型中的变点估计问题进行了研究,给出了变点位置、个数及模型参数的估计,并推导了该方法下变点个数估计及参数估计的一致性。数值模拟验证了两种误差分布下分位数自适应LASSO方法的估计性能优于分位数LASSO方法;最后通过应用居民消费价格总指数数据说明了分位数自适应LASSO方法的有效性。
关键词(KeyWords): 分位数自适应LASSO方法;线性面板模型;变点估计
基金项目(Foundation): 山西省基础研究计划(202103021224274);; 山西省社会经济统计科研课题(KY[2021]145)
作者(Author): 陈小红,齐培艳
参考文献(References):
- [1] HAN A K,PARK D.Testing for Structural Change in Panel Data:Application to A Study of US Foreign Trade in Manufacturing Goods[J].The Review of Economics and Statistics,1989,71(1):135-142.
- [2] JOSEPH L,WOLFSON D B.Estimation in Multi-Path Change Point Problems[J].Communications in Statistics-Theory and Methods,1992,21(4):897-913.
- [3] JOSEPH L,WOLFSON D B.Maximum Likelyhood Estimation in the Multi-path Change-point Problem[J].Annals of the Institute of Statistical Mathematics,1993,45(3):511-530.
- [4] BAI J,LUMSDAINE R L,STOCK J H.Testing For and Dating Common Breaks in Multivariate Time Series[J].Review of Economic Studies,1998,65(3):395-432.
- [5] BAI J.Common Breaks in Means and Variances for Panel Data[J].Journal of Econometrics,2010,157(1):78-92.
- [6] BOLDEA O,DREPPER B,GAN Z.Change Point Estimation in Panel Data with Time-varying Individual Effects[J].Journal of Applied Econometrics,2020,35(6):712-727.
- [7] 韩姣,夏志明.线性面板模型中的变点估计[J].应用数学学报,2019,42(6):736-743.
- [8] HORVáTH L,HU?KOVáM.Change-point Detection in Panel Data[J].Journal of Time Series Analysis,2012,33(4):631-648.
- [9] LI F X,TIAN Z,XIAO Y T,et al.Variance Change-point Detection in Panel Data Models.Economics Letters ,2015,126(Jan.):140-143.
- [10] CHO H.Change-point Detection in Panel Data via Double CUSUM Statistic[J].Electronic Journal of Statistics,2016,10(2):2000-2038.
- [11] CHEN Z H,HU Y J.Cumulative Sum Estimator for Change-point in Panel Data[J].Statistic Papers,2017 ,58 (3):707-728.
- [12] HARCHAOUI Z,LéVY-LEDUC C.Multiple Change-Point Estimation With a Total Variation Penalty ,Journal of the American Statistical Association,2010,105(492):1480-1493.
- [13] CIUPERCA G.Model selection by Lasso methods in a change-point model[J].Statistical Paper,2014,52(2):349-374.
- [14] CHAN N H,YAU C Y,ZHANG R M.Group Lasso for structural break time series[J].Journal of the American Statistical Association,2014(109):590-599.
- [15] 李亚光.复杂数据多变点分析的若干问题研究[D].合肥:中国科学技术大学,2018.
- [16] MACIAK M.Quantile LASSO with Changepoints in Panel Data Models Applied to Option Pricing[J].Econometrics and Statistics,2019,20(C):166-175.