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This is a Quantitative Study study.

On the prospective minimum of the random walk conditioned to stay nonnegative

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The analysis shows multiple expressions for the limit of the minimum of a random walk.
Key findings indicate that the minimum of the random walk is conditioned to stay nonnegative.
Methodologies applied include theoretical analysis related to stable laws and distribution limits.
The results may influence understanding of random processes in various applied fields.

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This paper investigates the minimum of a random walk under nonnegative conditions, revealing new distributions.

Vatutin et al. (2024) studied this question.

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