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On robust estimation via pseudo-additive information

Ferrari, Davide ; Vecchia, Davide La

In: Biometrika, 2012, vol. 99, no. 1, p. 238-244

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...

Robust resampling methods and stock returns predictability

Camponovo, Lorenzo ; Trojani, Fabio (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2009 ; 2009ECO004.

The thesis consists of three chapters. In the first chapter we characterize the robustness of subsampling procedures by deriving a general formula for the breakdown point of subsampling quantiles. This breakdown point can be very low for moderate subsampling block sizes, which implies the fragility of subsampling procedures, even if they are applied to robust statistics. This instability...