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

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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

  1. 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).

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  2. H. Kramer and M. R. Leadbetter,Stationary and Related Stochastic Processes, Wiley, New York (1967).

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Authors
  1. V. V. Buldygin
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  2. V. M. Mel'nik
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  3. V. G. Shportyuk
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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

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