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 no
Multi-step forecasting for long-memory processes
โ Scribed by Julia Brodsky; Clifford M. Hurvich
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 298 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0277-6693
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โฆ Synopsis
In this paper we present results of a simulation study to assess and compare the accuracy of forecasting techniques for long-memory processes in small sample sizes. We analyse dierences between adaptive ARMA(1,1) L-step forecasts, where the parameters are estimated by minimizing the sum of squares of L-step forecast errors, and forecasts obtained by using longmemory models. We compare widths of the forecast intervals for both methods, and discuss some computational issues associated with the ARMA(1,1) method. Our results illustrate the importance and usefulness of long-memory models for multi-step forecasting.
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