Robust Asymptotic Statistics

Focusing on advanced statistical theory, this book explores optimally robust functionals and their unbiased estimators and tests. It extends the ideal center model to encompass actual distributions, addressing key questions about the selection of functionals and the appropriate statistical procedures. Utilizing a local asymptotic framework, the author connects nonparametric statistical optimality with infinitesimal robustness criteria, presenting a cohesive view of robust statistics that integrates previously separate developments in the field.