Considering of renewal equations for multidimensional renewal processes and asymptotical investigation of its solutions

Authors:

Vaidotas KANIŠAUSKAS, Lydija DRONOVA-PLATBARZDĖ

AMS Classification:

60K05, 44A10

Keywords:

Laplace transform, renewal equations, renewal processes, Tauberian theorem

Abstract:

In the paper, we obtain a renewal recurrence equation which can be used for calculation of starting-point moment of multivariate renewal processes of all orders. Also, we investigate its asymptotics.

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Kani-Dron-2010

Vol. 5 (13), 2010