Asymptotic derivation of T* statistic

Monitoring the stability of correlation structure becomes an imperative subject in economic development and financial industry. It has been extensively implemented by various researchers to understand the behaviour of a sequence of correlation structures based on independent samples in certain time...

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Bibliographic Details
Main Authors: Sharif, Shamshuritawati, Djauhari, Maman Abdurachman
Format: Article
Published: American Institute of Physics Inc. 2014
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Online Access:http://eprints.utm.my/id/eprint/51959/
http://dx.doi.org/10.1063/1.4903691
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Institution: Universiti Teknologi Malaysia
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Summary:Monitoring the stability of correlation structure becomes an imperative subject in economic development and financial industry. It has been extensively implemented by various researchers to understand the behaviour of a sequence of correlation structures based on independent samples in certain time periods. The existing statistical test can only tackle problems involving p<n. However, it is fails to handle p>n due to the inversion of covariance matrix. Therefore, in this paper we introduced T∗ statistics, constructed based on upper-off-diagonal elements to overwhelm that difficulty. The limitation distribution has been investigated to make its application promising.