2017
Том 69
№ 9

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Limit theorems for the number of crossings of a fixed plane by certain sequences of generalized dbffusion processes

Goshko L. V., Portenko N. I.

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Abstract

We characterize the weak convergence of certain sequences of generalized diffusion processes by using a specific functional of a process, namely, the number of crossings of a fixed plane by this process.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 373-388.

Citation Example: Goshko L. V., Portenko N. I. Limit theorems for the number of crossings of a fixed plane by certain sequences of generalized dbffusion processes // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 357–371.

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