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

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.

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Bibliographic Details
Date:	2001
Main Authors:	Gasanenko, V. A., Гасаненко, В. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2001
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4216
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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