Article ID Journal Published Year Pages File Type
4629861 Applied Mathematics and Computation 2012 13 Pages PDF
Abstract

The reflected Ornstein–Uhlenbeck process in the presence of catastrophes that occur at exponential rate is considered. Explicit expressions for the transition probability density and for related moments are determined. The first visit time to zero state is also investigated. A systematic computational analysis is performed to elucidate the role played by the parameters.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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