KMS Of Academy of mathematics and systems sciences, CAS
Interval Time Series Analysis with an Application to the Sterling-Dollar Exchange Rate | |
Han, Ai1; Hong, Yongmiao2; Lai, K. K.3; Wang, Shouyang1 | |
2008-12-01 | |
发表期刊 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY |
ISSN | 1009-6124 |
卷号 | 21期号:4页码:558-573 |
摘要 | Traditional econometrics has long employed "points" to measure time series data. In real life situations, however, it suffers the loss of volatility information, since many variables are bounded by intervals in a given period. To address this issue, this paper provides a new methodology for interval time series analysis. The concept of "interval stochastic process" is formally defined as a counterpart of "stochastic process" in point-based econometrics. The authors introduce the concepts of interval stationarity, interval statistics (including interval mean, interval variance, etc.) and propose an interval linear model to investigate the dynamic relationships between interval processes. A new interval-based optimization approach for estimation is proposed, and corresponding evaluation criteria are derived. To demonstrate that the new interval method provides valid results, an empirical example on the sterling-dollar exchange rate is presented. |
关键词 | Evaluation criteria interval-based estimation interval linear model interval statistics interval stationarity interval stochastic process |
DOI | 10.1007/s11424-008-9135-5 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China ; Research Granting Committee of Hong Kong |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000260878200006 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/6842 |
专题 | 系统科学研究所 |
通讯作者 | Han, Ai |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China 2.Cornell Univ, Dept Econ, New York, NY 10021 USA 3.City Univ Hong Kong, Fac Business, Kowloon, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Han, Ai,Hong, Yongmiao,Lai, K. K.,et al. Interval Time Series Analysis with an Application to the Sterling-Dollar Exchange Rate[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2008,21(4):558-573. |
APA | Han, Ai,Hong, Yongmiao,Lai, K. K.,&Wang, Shouyang.(2008).Interval Time Series Analysis with an Application to the Sterling-Dollar Exchange Rate.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,21(4),558-573. |
MLA | Han, Ai,et al."Interval Time Series Analysis with an Application to the Sterling-Dollar Exchange Rate".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 21.4(2008):558-573. |
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