Multiple change point detection based on Hodrick-Prescott and $l_1$ filtering method for random walk time series data
基于 HP 与 l₁ 滤波的随机游走时间序列多变点检测
We propose new methods for detecting multiple change points in time series, specifically designed for random walk processes, where stationarity and variance changes present challenges. Our approach combines two trend estimation methods: the Hodrick Prescott (HP) filter and the l1 filter. A major challenge in these methods is selecting the tuning parameter lambda, which we address by introducing two selection techniques. For the HP based change point detection, we propose a…