Strong Approximation for Non-homogeneous Random Flights

Elena Bashtova () and Alexey Shashkin ()

Journal of Theoretical Probability, 2025, vol. 38, issue 4, 1-12

Abstract: Abstract We prove several theorems establishing strong Gaussian approximation for random flights. These are the first results of this type provided for such class of random processes. Examples include flights generated by renewal processes and processes satisfying some mixing conditions.

Keywords: Random flights; Strong Gaussian approximation; Renewal process; Regenerative flow; 60F15; 60F17 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10959-025-01443-8

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