What type of study is this?

This is a Quantitative Study study.

October 2, 2025Open Access

On the asymptotic behaviour of stochastic processes, with applications to supermartingale convergence, Dvoretzky's approximation theorem, and stochastic quasi-Fejér monotonicity

View Full Paper

Ask AI

Bookmark

Authors

MNMorenikeji NeriTechnical University of Darmstadt NPNicholas PischkeTechnical University of Darmstadt TPThomas PowellUniversity of Bath

Discussion

Member takes

Implication

New quantitative results reveal improved convergence rates for stochastic processes, highlighting applications to supermartingales and the Robbins-Siegmund theorem.

Key Points

Novel results provide effective convergence rates for stochastic processes under relaxed supermartingale conditions.
Quantitative enhancements are illustrated through applications to stochastic quasi-Fejér monotonicity and Dvoretzky's convergence theorem.
Classical Robbins-Monro procedures serve as a foundation for assessing the results' applicability in various scenarios.
Special cases identified within the results allow for the design of fast, linear convergence rates in stochastic processes.

Cite This Study

Neri et al. (2025) studied this question.

synapsesocial.com/papers/68de5d9383cbc991d0a1fe84 https://doi.org/10.48550/arxiv.2504.12922

View Full Paper

Ask AI

Bookmark

Implication

New quantitative results reveal improved convergence rates for stochastic processes, highlighting applications to supermartingales and the Robbins-Siegmund theorem.

On the asymptotic behaviour of stochastic processes, with applications to supermartingale convergence, Dvoretzky's approximation theorem, and stochastic quasi-Fejér monotonicity

Discussion

Member takes

Implication

Key Points

Cite This Study

On the asymptotic behaviour of stochastic processes, with applications to supermartingale convergence, Dvoretzky's approximation theorem, and stochastic quasi-Fejér monotonicity

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider