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Last edited on
Apr 18, 2024 by JJ
.
Thesis:
Master in Mathematics

Author:
Stefan Stein

Title:
Asymptotic equivlance of density estimation and Gaussian white noise

Supervisor:
Jan JOHANNES

Abstract:
We prove asymptotic equivalence in the Le Cam sense between an experiment that consists of n i.i.d. observations with an unknown density and an experiment that consists of observing a Gaussian white noise process.

Reference:
M. Nussbaum. Asymptotic equivalence of density estimation and Gaussian white noise. The Annals of Statistics, 26(6):2399–2430, 1996.