Hypo-exponential distributions and compound Poisson processes with alternating parameters

"Point processes with alternating arrival rates arise in various applications, including financial modelling. We obtain explicit expressions for the distributions of these processes, i.e. for the sums ?m=1nX(m) and ?m=1n(-1)mX(m), where X(m) are independent exponentially distributed random vari...

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Detalles Bibliográficos
Autor Principal: Ratanov, Nikita
Formato: Artículo (Article)
Lenguaje:Inglés (English)
Publicado: Elsevier 2015
Materias:
Acceso en línea:https://repository.urosario.edu.co/handle/10336/23331
https://doi.org/10.1016/j.spl.2015.08.006
Descripción
Sumario:"Point processes with alternating arrival rates arise in various applications, including financial modelling. We obtain explicit expressions for the distributions of these processes, i.e. for the sums ?m=1nX(m) and ?m=1n(-1)mX(m), where X(m) are independent exponentially distributed random variables with alternating parameters. The distribution of the compound Poisson process with Markov modulation and with exponentially distributed jumps is also studied. © 2015 Elsevier B.V."