ROBUST ESTIMATION OF STRUCTURAL BREAK POINTS
提出动态线性模型中未知位置结构断点的稳健M估计量，推导了断点和回归参数的收敛速度与极限分布，并给出可行置信区间，适用于相依观测和趋势回归变量。
This paper proposes robust M -estimators of dynamic linear models with a structural break of unknown location. Rates of convergence and limiting distributions for the estimated shift point and the estimated regression parameters are derived. The analysis is carried out in the framework of possibly dependent observations and also with trending regressors. The asymptotic distribution of the break location estimator is obtained both for fixed magnitude of shift and for shift with magnitude converging to zero as the sample size increases. The latter is essential for the derivation of feasible confidence intervals for the break location. Monte Carlo simulations illustrate the performance of asymptotic inferences in practice.