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題名 Optimal Multi-step VAR Forecast Averaging
作者 廖仁哲
Liao , Jen-Che
Tsay, Wen-Jen
貢獻者 經濟系
日期 2020-12
上傳時間 11-Apr-2022 13:24:14 (UTC+8)
摘要 This article proposes frequentist multiple-equation least-squares averaging approaches for multistep forecasting with vector autoregressive (VAR) models. The proposed VAR forecast averaging methods are based on the multivariate Mallows model averaging (MMMA) and multivariate leave-h-out cross-validation averaging (MCVAh) criteria (with h denoting the forecast horizon), which are valid for iterative and direct multistep forecast averaging, respectively. Under the framework of stationary VAR processes of infinite order, we provide theoretical justifications by establishing asymptotic unbiasedness and asymptotic optimality of the proposed forecast averaging approaches. Specifically, MMMA exhibits asymptotic optimality for one-step-ahead forecast averaging, whereas for direct multistep forecast averaging, the asymptotically optimal combination weights are determined separately for each forecast horizon based on the MCVAh procedure. To present our methodology, we investigate the finite-sample behavior of the proposed averaging procedures under model misspecification via simulation experiments.
關聯 Econometric Theory, Vol.36, No.6, pp.1099-1126
資料類型 article
DOI https://doi.org/10.1017/S0266466619000434
dc.contributor 經濟系
dc.creator (作者) 廖仁哲
dc.creator (作者) Liao , Jen-Che
dc.creator (作者) Tsay, Wen-Jen
dc.date (日期) 2020-12
dc.date.accessioned 11-Apr-2022 13:24:14 (UTC+8)-
dc.date.available 11-Apr-2022 13:24:14 (UTC+8)-
dc.date.issued (上傳時間) 11-Apr-2022 13:24:14 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/139778-
dc.description.abstract (摘要) This article proposes frequentist multiple-equation least-squares averaging approaches for multistep forecasting with vector autoregressive (VAR) models. The proposed VAR forecast averaging methods are based on the multivariate Mallows model averaging (MMMA) and multivariate leave-h-out cross-validation averaging (MCVAh) criteria (with h denoting the forecast horizon), which are valid for iterative and direct multistep forecast averaging, respectively. Under the framework of stationary VAR processes of infinite order, we provide theoretical justifications by establishing asymptotic unbiasedness and asymptotic optimality of the proposed forecast averaging approaches. Specifically, MMMA exhibits asymptotic optimality for one-step-ahead forecast averaging, whereas for direct multistep forecast averaging, the asymptotically optimal combination weights are determined separately for each forecast horizon based on the MCVAh procedure. To present our methodology, we investigate the finite-sample behavior of the proposed averaging procedures under model misspecification via simulation experiments.
dc.format.extent 710885 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Econometric Theory, Vol.36, No.6, pp.1099-1126
dc.title (題名) Optimal Multi-step VAR Forecast Averaging
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1017/S0266466619000434
dc.doi.uri (DOI) https://doi.org/10.1017/S0266466619000434