2006
DOI: 10.1016/j.physa.2005.12.048
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The reaction of stock markets to crashes and events: A comparison study between emerging and mature markets using wavelet transforms

Abstract: We study here the behaviour of the first three eigenvalues (λ 1 , λ 2 , λ 3 ) and their ratio [(λ 1 /λ 2 ), (λ 1 /λ 3 ), (λ 2 /λ 3 )] of the covariance matrices of the original return series and of those rebuilt from wavelet components for emerging and mature markets. It has been known for some time that the largest eigenvalue (λ 1 ) contains information on the risk associated with the particular assets of which the covariance matrix is comprised. Here, we wish to ascertain whether the subdominant eigenvalues … Show more

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Cited by 37 publications
(24 citation statements)
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“…In financial data, it has been known for some time that the largest Eigenvalue (λ 1 ) contains information on risk associated with the particular assets of which the covariance matrix is comprised, (i.e. the 'market' factor) [30]. Similarly we would expect the largest Eigenvalue to present information from the image that reflects the largest change in the SenseCam recording.…”
Section: Wavelet Multiscale Analysismentioning
confidence: 99%
“…In financial data, it has been known for some time that the largest Eigenvalue (λ 1 ) contains information on risk associated with the particular assets of which the covariance matrix is comprised, (i.e. the 'market' factor) [30]. Similarly we would expect the largest Eigenvalue to present information from the image that reflects the largest change in the SenseCam recording.…”
Section: Wavelet Multiscale Analysismentioning
confidence: 99%
“…the 'market' factor) [20,21]. Similarly we would expect the largest eigenvalue here to present information from the image that reflects the largest change in the SenseCam recording.…”
Section: Eigenvalue Dynamicsmentioning
confidence: 84%
“…The number of exceedances for different confidence levels N cl , (cl = 95%, 97.5%, 99%) are listed in the parenthesis as (N 99% , N 97.5% , N 95% ). The number of exceedances for EWMA and DCC-GARCH model are (1,4,10) and (3,12,18) respectively. Table 3 lists the p value of Kupiec backtesting procedure for exceedances observed.…”
Section: Experiments Resultsmentioning
confidence: 99%
“…It firstly projects the original data series into different scales using wavelet transform as in (10).…”
Section: Multivariate Wavelet Denoising Algorithmmentioning
confidence: 99%
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