2017
Том 69
№ 9

All Issues

On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another

Gasanenko V. A.

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Abstract

We obtain the complete asymptotic decomposition of the sojourn probability of a homogeneous Poisson process inside a domain with curvilinear boundaries. The coefficients of this decomposition are determined by the solutions of parabolic problems with one and two boundaries.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 1, pp 15-25.

Citation Example: Gasanenko V. A. On the Asymptotics of the Sojourn Probability of a Poisson Process between Two Nonlinear Boundaries That Move Away from One Another // Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 14-22.

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