Bootstrapping Empirical Processes

Abstract

The purpose of this chapter is to obtain consistency results for bootstrapped empirical processes. These results can then be applied to many kinds of bootstrapped estimators since most estimators can be expressed as functionals of empirical processes. Much of the bootstrap results for such estimators will be deferred to later chapters where we discuss the functional delta method, Z-estimation and M-estimation. We do, however, present one specialized result for parametric Z-estimators in Section 3 of this chapter as a practical illustration of bootstrap techniques.