Classification of shock models in system reliability

Autores: Fermín Mallor Giménez , J. Santos
Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort , 2003, ISBN 84-96214-04-4, págs. 405-412
Idioma: inglés
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Resumen
- Shock models in system reliability are usually defined by the time between two consecutive shocks, the damage caused by a shock, the system failure and the dependence relationship among the above elements. The main purpose of this work is to review and classify the large set of shock models defined and studied in the literature in the last three decades. Furthermore, we introduce a new model which generalizes some of the classical ones that arise when the system is governed by independent and identically distributed pairs, {(An,Bn)}1n=0, where An is the magnitude of the nth shock and Bn is the time between the (n - 1)th and the nth shock.