Asymptotics for spectral regularization estimators in statistical inverse problems

Computational Statistics, pp. 435-453, 2013.

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Abstract:

While optimal rates of convergence in L 2 for spectral regularization estimators in statistical inverse problems have been much studied, the pointwise asymptotics for these estimators have received very little consideration. Here, we briefly discuss asymptotic expressions for bias and variance for some such estimators, mainly in deconvolu...More

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