Self-exciting piecewise linear processes

The paper concerns a piecewise linear process controlled by the set of velocities {cn}n≥0 consecutively switched after exponentially distributed, Exp(λn), n ≥ 0, time intervals. The distribution of such process is studied in detail, including the distribution of the first passage time through the co...

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Autores:
Tipo de recurso:
Fecha de publicación:
2017
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/14351
Acceso en línea:
http://repository.urosario.edu.co/handle/10336/14351
Palabra clave:
First Passage Time
Jump-Telegraph Process
Probabilidades & matemáticas aplicadas
Distribución (Teoría de probabilidades)
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Abierto (Texto Completo)
Description
Summary:The paper concerns a piecewise linear process controlled by the set of velocities {cn}n≥0 consecutively switched after exponentially distributed, Exp(λn), n ≥ 0, time intervals. The distribution of such process is studied in detail, including the distribution of the first passage time through the constant boundary. The processes which moves by alternating patterns and with a double jump component are also studied