# Parametric estimation. Finite sample theory

@article{Spokoiny2011ParametricEF, title={Parametric estimation. Finite sample theory}, author={Vladimir G. Spokoiny}, journal={Annals of Statistics}, year={2011}, volume={40}, pages={2877-2909} }

The paper aims at reconsidering the famous Le Cam LAN theory. The main features of the approach which make it different from the classical one are: (1) the study is non-asymptotic, that is, the sample size is xed and does not tend to infinity; (2) the parametric assumption is possibly misspecified and the underlying data distribution can lie beyond the given parametric family. The main results include a large deviation bounds for the (quasi) maximum likelihood and the local quadratic…

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