IDEAS home Printed from https://ideas.repec.org/a/spr/jotpro/v38y2025i4d10.1007_s10959-025-01443-8.html
   My bibliography  Save this article

Strong Approximation for Non-homogeneous Random Flights

Author

Listed:
  • Elena Bashtova

  • Alexey Shashkin

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.

Suggested Citation

  • Elena Bashtova & Alexey Shashkin, 2025. "Strong Approximation for Non-homogeneous Random Flights," Journal of Theoretical Probability, Springer, vol. 38(4), pages 1-12, December.
    • Handle: RePEc:spr:jotpro:v:38:y:2025:i:4:d:10.1007_s10959-025-01443-8
    DOI: 10.1007/s10959-025-01443-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10959-025-01443-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10959-025-01443-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. E. Orsingher & A. Gregorio, 2007. "Random Flights in Higher Spaces," Journal of Theoretical Probability, Springer, vol. 20(4), pages 769-806, December.
    2. Hafouta, Yeor, 2023. "An almost sure invariance principle for some classes of non-stationary mixing sequences," Statistics & Probability Letters, Elsevier, vol. 193(C).
    3. Bashtova, Elena & Shashkin, Alexey, 2022. "Strong Gaussian approximation for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 1-18.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Enzo Orsingher & Manfred Marvin Marchione, 2025. "Planar Random Motions in a Vortex," Journal of Theoretical Probability, Springer, vol. 38(1), pages 1-42, March.
    2. Cinque, Fabrizio & Orsingher, Enzo, 2023. "Random motions in R3 with orthogonal directions," Stochastic Processes and their Applications, Elsevier, vol. 161(C), pages 173-200.
    3. Fabrizio Cinque & Enzo Orsingher, 2023. "Stochastic Dynamics of Generalized Planar Random Motions with Orthogonal Directions," Journal of Theoretical Probability, Springer, vol. 36(4), pages 2229-2261, December.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jotpro:v:38:y:2025:i:4:d:10.1007_s10959-025-01443-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.