On testing common indices for two multi-index models: A link-free approach
Xuejing Liu,
Zhou Yu,
Xuerong Meggie Wen and
Robert Paige
Journal of Multivariate Analysis, 2015, vol. 136, issue C, 75-85
Abstract:
We propose a link-free procedure for testing whether two multi-index models share identical indices via the sufficient dimension reduction approach. Test statistics are developed based upon three different sufficient dimension reduction methods: (i) sliced inverse regression, (ii) sliced average variance estimation and (iii) directional regression. The asymptotic null distributions of our test statistics are derived. Monte Carlo studies are performed to investigate the efficacy of our proposed methods. A real-world application is also considered.
Keywords: Multi-index models; Sufficient dimension reduction; Sliced inverse regression; Sliced average variance estimation; Directional regression (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:136:y:2015:i:c:p:75-85
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DOI: 10.1016/j.jmva.2015.01.009
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