Jiaqi Li, Likai Chen, Kun Ho Kim, Tianwei Zhou
arXiv 19 Dec 2022 · Statistics — Methodology · publishedJournal of Time Series Analysis (2024) · 1 citations (OpenAlex)
arXiv:2212.10359 · PDF · DOI · OpenAlex · Extracted main text
We introduce a new methodology to conduct simultaneous inference of the nonparametric component in partially linear time series regression models where the nonparametric part is a multivariate unknown function. In particular, we construct a simultaneous confidence region (SCR) for the multivariate function by extending the high-dimensional Gaussian approximation to dependent processes with continuous index sets. Our results allow for a more general dependence structure compared to previous works and are widely applicable to a variety of linear and nonlinear autoregressive processes. We demonstrate the validity of our proposed methodology by examining the finite-sample performance in the simulation study. Finally, an application in time series, the forward premium regression, is presented, where we construct the SCR for the foreign exchange risk premium from the exchange rate and macroeconomic data.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Kim, Kun Ho, Chao, Shih-Kang (2021) Simultaneous inference of the partially linear model with a multivariate unknown function self | 1.000 | 7 | 4 | 100% |
| 2 | Liu, Weidong, Wu, Wei Biao (2010) Simultaneous nonparametric inference of time series | 1.000 | 6 | 3 | 100% |
| 3 | Chernozhukov, Victor, Chetverikov, Denis, Kato, Kengo (2017) Central limit theorems and bootstrap in high dimension | 0.894 | 7 | 5 | 71% |
| 4 | Zhao, Zhibiao, Wu, Wei Biao (2006) Kernel Quantile Regression for Nonlinear Stochastic Models | 0.874 | 6 | 5 | 67% |
| 5 | Kim, K. H (2016) Inference of the trend in a partially linear model with locally stationary regressors self | 0.811 | 4 | 2 | 100% |
| 6 | Zhao, Z., Wu, W. B (2008) Confidence bands in nonparametric time series regression | 0.737 | 4 | 2 | 75% |
| 7 | (1989) Asymptotic maximal deviation of M-smoothers | 0.737 | 3 | 2 | 100% |
| 8 | Fama, E (1984) Forward and Spot Exchange Rates | 0.644 | 2 | 2 | 100% |
| 9 | Robinson, P. M (1988) Root-N-Consistent Semiparametric Regression | 0.644 | 2 | 2 | 100% |
| 10 | (2008) Local polynomial estimation in partial linear regression models under dependence | 0.644 | 2 | 2 | 100% |
Showing the top 10 of 59 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Inference in Partially Linear Models under Dependent Data with Deep Neural Networks | 0.511 | 2 | 1 |
| 2 | Inference on many jumps in nonparametric panel regression models | 0.000 | 1 | 1 |