An Invitation to Statistics in Wasserstein Space (2020)Paperback - 2020, 11 March 2020

Gives a succinct introduction to necessary mathematical background, focusing on theresults useful for statistics from an otherwise vast mathematical literature.
Presents an up to date overview of the state of the art, including some original results, and discusses open problems.
Suitable for self-study or to be used as a graduate level course text.
Open access.