English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study the asymptotic properties of geodesically convex $M$-estimation onnon-linear spaces. Namely, we prove that under very minimal assumptions besidesgeodesic convexity of the cost function, one can obtain consistency andasymptotic normality, which are fundamental properties in statisticalinference. Our results extend the Euclidean theory of convex $M$-estimation;They also generalize limit theorems on non-linear spaces which, essentially,were only known for barycenters, allowing to consider robust alternatives thatare defined through non-smooth $M$-estimation procedures.

Geodesically convex $M$-estimation in metric spaces