Chapman and Hall/CRC Nonparametric Statistics on Stratified Spaces - Chapman and Hall/CRC

Expand your knowledge of advanced data analysis with this specialized text from Chapman and Hall/CRC. Serving as a direct follow-up to Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis, this book advances the study of data analysis on object spaces. It moves beyond standard manifolds to explore the complex realm of metric spaces that possess a smooth structure on an open dense subset only. Readers will gain a deep understanding of stratified spaces, which are governed by a specific filtration structure on their singular parts. The text details how these spaces are comprised of manifolds where boundaries consist of lower dimensional manifolds within the filtration. This resource is designed for researchers and students looking to master the mathematical frameworks required for analyzing object data in more complex, non-uniform environments.