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

DOI10.1007/s40879-024-00728-2arXiv2306.08358WikidataQ128217195 ScholiaQ128217195MaRDI QIDQ6196270

Dietmar Ferger

Publication date: 14 March 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.08358

zbMATH Keywords

order topologiesargmin theoremsdistributional convergence in topological spacesfunctional limit theorem for convex processes

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convex functions and convex programs in convex geometry (52A41) Functional limit theorems; invariance principles (60F17)

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