## Abstract This article studies Man and Tiao's (2006) lowโorder autoregressive fractionally integrated movingโaverage (ARFIMA) approximation to Tsai and Chan's (2005b) limiting aggregate structure of the longโmemory process. In matching the autocorrelations, we demonstrate that the approximation w
Estimation and forecasting of long-memory processes with missing values
โ Scribed by Wilfredo Palma; Ngai Hang Chan
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 264 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0277-6693
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โฆ Synopsis
This paper addresses the issues of maximum likelihood estimation and forecasting of a long-memory time series with missing values. A state-space representation of the underlying long-memory process is proposed. By incorporating this representation with the Kalman ยฎlter, the proposed method allows not only for an ecient estimation of an ARFIMA model but also for the estimation of future values under the presence of missing data. This procedure is illustrated through an analysis of a foreign exchange data set. An investment scheme is developed which demonstrates the usefulness of the proposed approach.
๐ SIMILAR VOLUMES
## Abstract In this paper we deal with the prediction theory of longโmemory time series. The purpose is to derive a general theory of the convergence of moments of the nonlinear least squares estimator so as to evaluate the asymptotic prediction mean squared error (PMSE). The asymptotic PMSE of two
## A bstvxt Several theorems on estimation and verification of linear hypotheses in some iiiodels are given. The assumptions are as follows. Let y=Xp + e or (y, Xp, uZV) be a fixed model whei~e y is a vector of n observations, X is a known matrix n x p with rank r ( X ) = r s p < n , where 1' is H