Asymptotic distribution of test statistic for the covariance dimension reduction methods in regression
Yin and Cook (J. Roy. Statist. Soc. Ser. B Part 2 64 (2002) 159) recently introduced a new dimension reduction method for regression called Covk. Here, we develop the asymptotic distribution of the Covk test statistic for dimension under weak assumptions. This serves as an analytic counterpart to the permutation test suggested by Yin and Cook.
Year of publication: |
2004
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Authors: | Yin, Xiangrong ; Dennis Cook, R. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 68.2004, 4, p. 421-427
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Publisher: |
Elsevier |
Keywords: | Asymptotics Central subspaces Dimension reduction subspaces Regression graphics |
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