Distributional hyperspace-convergence of Argmin-sets in convex 𝑀-estimation

DOI10.1090/tpms/1195zbMath1525.60008OpenAlexW4387301872MaRDI QIDQ6074047

Dietmar Ferger

Publication date: 12 October 2023

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/1195

zbMATH Keywords

\(M\)-estimationrandom closed setsFell-topologyargmin-setsconvex empirical processes

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Characterization and structure theory of statistical distributions (62E10) Convergence of probability measures (60B10)

Related Items

On semi-continuity and continuity of the smallest and largest minimizing point of real convex functions with applications in probability and statistics

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