Mean Square Error bounds for parameter estimation under model misspecification

Autor:	Gusi-Amigó, Adrià, Closas, Pau, Vandendorpe, Luc
Rok vydání:	2015
Předmět:	Mathematics - Statistics Theory Statistics - Methodology
Druh dokumentu:	Working Paper
Popis:	In parameter estimation, assumptions about the model are typically considered which allow us to build optimal estimation methods under many statistical senses. However, it is usually the case where such models are inaccurately known or not capturing the complexity of the observed phenomenon. A natural question arises to whether we can find fundamental estimation bounds under model mismatches. This paper derives a general bound on the mean square error (MSE) following the Ziv-Zakai methodology for the widely used additive Gaussian model. The general result accounts for erroneous functionals, hyperparameters, and distributions differing from the Gaussian. The result is then particularized to gain some insight into specific problems and some illustrative examples demonstrate the predictive capabilities of the bound. Comment: Submitted for publication in the IEEE Transactions on Signal Processing
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.03982 Zobrazit plný text záznamu View this record from Arxiv