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<p>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.</p>

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Strong Approximation for Non-homogeneous Random Flights

  • 期刊论文

  • 发表日期：

    2025年9月6日

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  • Elena Bashtova,
  • Alexey Shashkin

摘要

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.