Network double autoregression

Fuente: arXiv
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Main Authors: Li, Tingting, Wang, Hao
Format: Preprint
Published: 2024
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author Li, Tingting
Wang, Hao
author_facet Li, Tingting
Wang, Hao
contents Modeling high-dimensional time series with simple structures is a challenging problem. This paper proposes a network double autoregression (NDAR) model, which combines the advantages of network structure and the double autoregression (DAR) model, to handle high-dimensional, conditionally heteroscedastic, and network-structured data within a simple framework. The parameters of the model are estimated using quasi-maximum likelihood estimation, and the asymptotic properties of the estimators are derived. The selection of the model's lag order will be based on the Bayesian information criterion. Finite-sample simulations show that the proposed model performs well even with moderate time dimensions and network sizes. Finally, the model is applied to analyze three different categories of stock data.
format Preprint
id arxiv_https___arxiv_org_abs_2412_19251
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Network double autoregression
Li, Tingting
Wang, Hao
Methodology
Statistics Theory
Modeling high-dimensional time series with simple structures is a challenging problem. This paper proposes a network double autoregression (NDAR) model, which combines the advantages of network structure and the double autoregression (DAR) model, to handle high-dimensional, conditionally heteroscedastic, and network-structured data within a simple framework. The parameters of the model are estimated using quasi-maximum likelihood estimation, and the asymptotic properties of the estimators are derived. The selection of the model's lag order will be based on the Bayesian information criterion. Finite-sample simulations show that the proposed model performs well even with moderate time dimensions and network sizes. Finally, the model is applied to analyze three different categories of stock data.
title Network double autoregression
topic Methodology
Statistics Theory
url https://arxiv.org/abs/2412.19251