Weighted envelope estimation to handle variability in model selection

D. J. Eck and R. D. Cook

Biometrika, 2017, vol. 104, issue 3, 743-749

Abstract: SummaryEnvelope methodology can provide substantial efficiency gains in multivariate statistical problems, but in some applications the estimation of the envelope dimension can induce selection volatility that may mitigate those gains. Current envelope methodology does not account for the added variance that can result from this selection. In this article, we circumvent dimension selection volatility through the development of a weighted envelope estimator. Theoretical justification is given for our estimator, and the validity of the residual bootstrap for estimating its asymptotic variance is established. A simulation study and real-data analysis illustrate the utility of our weighted envelope estimator.

Keywords: Dimension reduction; Envelope model; Model selection; Residual bootstrap; Variance reduction (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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