On the Levy-Baxter theorems for shot-noise fields. I

We consider shot-noise fields generated by countably additive stochastically continuous homogeneous random measures with independent values on disjoint sets. We establish necessary and sufficient conditions under which the shot-noise fields possess the Levy-Baxter property on fixed and increasing pa...

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Bibliographic Details
Date:1998
Main Authors: Buldygin, V. V., Mel'nik, V. M., Shportyuk, V. G., Булдигін, В. В., Мельник, В. М., Шпортюк, В. Г.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4798
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal