On the singular values of the Hankel matrix with application in singular spectrum analysis
被引:0
|
作者:
Mahmoudvand, Rahim
论文数: 0引用数: 0
h-index: 0
机构:
Shahid Beheshti Univ, Dept Stat, POB 1983963113, Tehran, IranShahid Beheshti Univ, Dept Stat, POB 1983963113, Tehran, Iran
Mahmoudvand, Rahim
[1
]
Zokaei, Mohammad
论文数: 0引用数: 0
h-index: 0
机构:
Shahid Beheshti Univ, Dept Stat, POB 1983963113, Tehran, IranShahid Beheshti Univ, Dept Stat, POB 1983963113, Tehran, Iran
Zokaei, Mohammad
[1
]
机构:
[1] Shahid Beheshti Univ, Dept Stat, POB 1983963113, Tehran, Iran
来源:
CHILEAN JOURNAL OF STATISTICS
|
2012年
/
3卷
/
01期
关键词:
Eigenvalues;
Singular spectrum analysis;
D O I:
暂无
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
Hankel matrices are an important family of matrices that play a fundamental role in diverse fields of study, such as computer science, engineering, mathematics and statistics. In this paper, we study the behavior of the singular values of the Hankel matrix by changing its dimension. In addition, as an application, we use the obtained results for choosing the optimal values of the parameters of singular spectrum analysis, which is a powerful technique in time series based on the Hankel matrix.