Abstract
We establish sufficient conditions under which shot-noise fields with a response function of a certain form possess the Levy-Baxter property on an increasing parametric set.
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References
V. V. Buldygin, V. M. Mel'nik, and V. G. Shportyuk, “On the Levy-Baxter theorems for shot-noise fields. I,”Ukr. Mar. Zh.,50, No. 11, 1463–1476 (1998).
H. Kramer and M. R. Leadbetter,Stationary and Related Stochastic Processes, Wiley, New York (1967).
Additional information
Kiev Polytechnic Institite, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 1, pp. 12–31, January, 1999.
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Buldygin, V.V., Mel'nik, V.M. & Shportyuk, V.G. On the Levy-Baxter theorems for shot-noise fields. II. Ukr Math J 51, 11–33 (1999). https://doi.org/10.1007/BF02591911
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DOI: https://doi.org/10.1007/BF02591911