Approximations in the Problem of Level Crossing by a Compound Renewal Process


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Resumo

The classical problem of level crossing by a compound renewal process is considered, which has been extensively studied and has various applications. For the distribution of the first level crossing time, a new approximation is proposed, which is valid under minimal conditions and is obtained by applying a new method. It has a number of advantages over previously known approximations.

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V. Malinovskii

Central Economics and Mathematics Institute

Autor responsável pela correspondência
Email: Vsevolod.Malinovskii@mail.ru
Rússia, Moscow, 117418

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