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Examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields

  • Mátyás Barczy EMAIL logo
Published/Copyright: February 9, 2018
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Abstract

We give some examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields defined on the plane. Namely, we study a tied-down Wiener bridge, tied-down scaled Wiener bridges, a Kiefer process and so called (F, G)-Wiener bridges.


Communicated by Gejza Wimmer


Acknowledgement

I would like to thank Endre Iglói and Peter Kern for giving useful comments on the paper. I am undoubtedly grateful to the referee for his/her valuable comments that have led to an improvement of the manuscript.

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Received: 2015-7-16
Accepted: 2016-9-26
Published Online: 2018-2-9
Published in Print: 2018-2-23

© 2018 Mathematical Institute Slovak Academy of Sciences

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