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Contributions to robustness theory

La Vecchia, Davide ; Ronchetti, Elvezio (Dir.) ; Trojani, Fabio (Codir.)

Thèse de doctorat : Università della Svizzera italiana, 2011 ; 2011ECO004.

The goal of this PhD Thesis is the definition of new robust estimators, thereby extending the available theory and exploring new directions for applications in finance. The Thesis contains three papers, which analyze three different types of estimators: M-, Minimum Distance- and R- estimators. The focus is manly of their infinitesimal robustness, but global robustness properties are also...

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Robust statistical procedures for location and scale dynamic models with applications to risk management

Mancini, Loriano ; Ronchetti, Elvezio (Dir.) ; Trojani, Fabio (Codir.)

Thèse de doctorat : Università della Svizzera italiana, 2004 ; 2004ECO001.

In the first part of the thesis, we study the local robustness of inference procedures of the conditional location and scale parameters in a stationary time series model. We first derive optimal bounded-influence estimators for the parameters of conditional location and scale models under a conditionally Gaussian reference model. Based on these results, optimal bounded-influence versions of the...

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