Title: Mathematical Foundations of Robustness and Qualitative Robustness in Bootstrapping

Consistency, qualitative robustness, influence function and breakdown point are the four main concepts to judge an estimator from the viewpoint of robust estimation. It is important as well as interesting to study relation among them. The talk centers around attempts to illustrate mathematical foundation of robustness, particularly intricacies of qualitative robustness, its relation with consistency and its application in bootstrapping. For the last decade several researchers have come forward to study robustness i