This chapter presents an overview of the main ideas and techniques of empirical process research. The emphasis is on those concepts which directly impact statistical estimation and inference. The major distinction between empirical process theory and more standard asymptotics is that the random quantities studied have realizations as functions rather than real numbers or vectors. Proofs of results and certain details in definitions are postponed until Part II of the book.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2008). An Overview of Empirical Processes. In: Introduction to Empirical Processes and Semiparametric Inference. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74978-5_2
Download citation
DOI: https://doi.org/10.1007/978-0-387-74978-5_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-74977-8
Online ISBN: 978-0-387-74978-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)