Resistant estimates for high dimensional and functional data based on random projections

Statistics – Methodology

Scientific paper

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24 pages, 6 figures

Scientific paper

We herein propose a new robust estimation method based on random projections
that is adaptive and, automatically produces a robust estimate, while enabling
easy computations for high or infinite dimensional data. Under some restricted
contamination models, the procedure is robust and attains full efficiency. We
tested the method using both simulated and real data.

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