2013
DOI: 10.1002/asmb.1980
|View full text |Cite
|
Sign up to set email alerts
|

Monitoring the mean of multivariate financial time series

Abstract: Timely detection of changes in the mean vector of multivariate financial time series is of great practical importance. In this paper, the covariance dynamics of the multivariate stochastic processes is assessed by either the RiskMetrics approach, the constant conditional correlation, or the dynamic conditional correlation models. For online monitoring of mean changes, we introduce several control schemes based on exponential smoothing and cumulative sums, which explicitly account for heteroscedasticity. The de… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
5
0

Year Published

2013
2013
2024
2024

Publication Types

Select...
6
1

Relationship

1
6

Authors

Journals

citations
Cited by 14 publications
(5 citation statements)
references
References 41 publications
0
5
0
Order By: Relevance
“…The appealing detection characteristics of the standard CUSUM chart for monitoring changes in the mean have been derived by Moustakides (1986Moustakides ( , 2008. Properties of both univariate and multivariate CUSUM control charts for residuals extracted from models similar to our specification are investigated in detail by Ord et al (2009) and Garthoff et al (2013). Following Montgomery (2013), the one-sided CUSUM statistics for detecting upward shifts ( > 0) is defined as a recursion…”
Section: The On-line Monitoring Proceduresmentioning
confidence: 99%
“…The appealing detection characteristics of the standard CUSUM chart for monitoring changes in the mean have been derived by Moustakides (1986Moustakides ( , 2008. Properties of both univariate and multivariate CUSUM control charts for residuals extracted from models similar to our specification are investigated in detail by Ord et al (2009) and Garthoff et al (2013). Following Montgomery (2013), the one-sided CUSUM statistics for detecting upward shifts ( > 0) is defined as a recursion…”
Section: The On-line Monitoring Proceduresmentioning
confidence: 99%
“…Considering these values, T 2 j is computed for each of the historical data. Finding an outlier in Phase I is a possible task in industry but as mentioned by some researches such as Garthoff, Golosnoy [ 23 ], Dumičić and Žmuk [ 24 ] and others, this approach is usually unachievable in financial market as we are not able to terminate the trading process in a market. On the other hand, the control limits entailing Lower Control Limit (LCL) and Upper Control Limit (UCL) of conventional T 2 control charts in the previous researches such as Kang and Albin [ 26 ], Noorossana, Amiri [ 63 ] and Soleimani, Noorossana [ 64 ] were computed by chi-square distribution and it was shown that the Run Length (RL) had a geometric distribution.…”
Section: The Proposed Methodsmentioning
confidence: 99%
“…To interpret each signal as bearish or bullish, they provided some rules and conditions based on the experts’ opinions. The 30-year observations of US Dollar (USD), Euro, and Japan Yen were monitored with EWMA and CUSUM control charts in Garthoff, Golosnoy [ 23 ]. They used a GARCH model with consideration of the covariance matrix as a multivariate problem.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Tracking biological phenomena in natural environment requires monitoring population dynamics of target species 4‐7 . Monitoring financial time series is of importance in business activities 8 . With the monitoring activities, anomalous behavior of the observed processes can be detected and precautionary countermeasures can be taken 9‐11 …”
Section: Introductionmentioning
confidence: 99%