Geometry of sample spaces

• Main Authors: Harms, Philipp, Michor, Peter W., Pennec, Xavier, Sommer, Stefan
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Statistics on Metric Spaces; Geometric Statistics
• Online Access: https://hdl.handle.net/10356/172874
• Institution: Nanyang Technological University

In statistics, independent, identically distributed random samples do not carry a natural ordering, and their statistics are typically invariant with respect to permutations of their order. Thus, an n-sample in a space M can be considered as an element of the quotient space of Mn modulo the permutat...