Skorokhod 𝖩-convergence for randomly stopped Markov processes

Dmitrii Silvestrov; Dmitrii Silvestrov

doi:10.1090/tpms/1249

November 17, 2025Theory of Probability and Mathematical Statistics

Skorokhod 𝖩-convergence for randomly stopped Markov processes

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Key Points

Randomly stopped Markov processes are analyzed through limit theorems, indicating new theoretical contributions.
Focus on Skorokhod J-convergence and independent increments enhances understanding of stochastic processes.
Presentation of functional limit theorems opens avenues for further research in random processes and Markov applications.
Implications of these findings may support advancements in statistical methods and modeling techniques.

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Implication

Survey reveals new limit theorems for randomly stopped processes and their applications to Markov processes.

Abstract

A survey of functional limit theorems and new limit theorems for randomly stopped processes with independent increments and Markov processes are presented.

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Silvestrov et al. (2025) studied this question.

synapsesocial.com/papers/692509e3c0ce034ddc35246e https://doi.org/10.1090/tpms/1249

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Skorokhod 𝖩-convergence for randomly stopped Markov processes

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Skorokhod 𝖩-convergence for randomly stopped Markov processes

Key Points

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