Abstract
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 parametric sets.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1463–1476, November, 1998.
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Buldygin, V.V., Mel’nik, V.M. & Shportyuk, V.G. On the Levy-Baxter theorems for shot-noise fields. I. Ukr Math J 50, 1671–1685 (1998). https://doi.org/10.1007/BF02524474
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DOI: https://doi.org/10.1007/BF02524474