On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems

Fan, J. (1991). On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems. The Annals of Statistics, 19(3), 1257-1272.

Type

Journal article

Intellectual base

Primary research

Year

1991

DOI

10.1214/aos/1176348248

Link

https://doi.org/10.1214/aos/1176348248

Cited by

1 citation across 1 artifact.

Domain-specific

• Smoothness (probability theory)
  • … convention, a law is ordinary smooth of order \(\beta>0\) when \(|\varphi(t)|\) is bounded above and below by positive multiples of \(|t|^{-\beta}\) at large frequency; it is supersmooth when its magnitude has an exponentially decaying envelope such as polynomial factors times \(\exp(-|t|^\beta/\gamma)\).

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