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arxiv: 1402.0302 · v2 · pith:6M3WE72Wnew · submitted 2014-02-03 · 🧮 math.ST · stat.TH

l_p-norm based James-Stein estimation with minimaxity and sparsity

classification 🧮 math.ST stat.TH
keywords allowestimatorsminimaxityshrinkagesparsityclasscoordinatesestimated
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A new class of minimax Stein-type shrinkage estimators of a multivariate normal mean is studied where the shrinkage factor is based on an l_p norm. The proposed estimators allow some but not all coordinates to be estimated by 0 thereby allow sparsity as well as minimaxity.

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