Wavelet estimation for factor models with time-varying loadings

Duván Humberto Cataño, C. Rodríguez-Caballero, D. Peña, Chang Chiann
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引用次数: 1

Abstract

We introduce a high-dimensional factor model with time-varying loadings. We cover both stationary and nonstationary factors to increase the possibilities of applications. We propose an estimation procedure based on two stages. First, we estimate common factors by principal components. In the second step, considering the estimated factors as observed, the time-varying loadings are estimated by an iterative generalized least squares procedure using wavelet functions. We investigate the finite sample features by some Monte Carlo simulations. Finally, we apply the model to study the Nord Pool power market’s electricity prices and loads.
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时变负荷因子模型的小波估计
我们引入了一个具有时变载荷的高维因子模型。我们涵盖了平稳和非平稳因素,以增加应用的可能性。我们提出了一个基于两个阶段的评估过程。首先,我们用主成分估计公因子。第二步,考虑到观测到的估计因子,采用小波函数迭代广义最小二乘方法估计时变载荷。我们通过一些蒙特卡罗模拟研究了有限样本的特征。最后,应用该模型对北池电力市场的电价和负荷进行了研究。
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