Sistemas coherentes bajo el modelo de tiempo exponencial transformado y sus comparaciones
J. Navarro, J. Mulero González
La teoría de la fiabilidad y el análisis de supervivencia son de interés, por ejemplo, en ingeniería o biología donde los sistemas involucrados pueden ser representados teóricamente usando sistemas coherentes. Una gran cantidad de resultados se obtienen cuando se supone la independencia de las componentes, pero esta hipótesis, sin embargo, es ciertamente poco realista. El modelo de tiempo exponencial transformado (TTE) permite representar la dependencia de dichas componentes de forma equivalente a una cópula arquimediana dando lugar a los conocidos modelos de fragilidad (frailty model) bajo el cual las componentes son condicionalmente independientes dado un parámetro de riesgo común. En este trabajo, mostraremos expresiones explícitas para la función de fiabilidad del sistema y numerosos resultados relacionados con los órdenes estocásticos y las clases de envejecimiento más conocidas.
Keywords: Sistemas coherentes, modelos TTE, cópulas arquimedianas, modelos de fragilidad, órdenes estocásticos
Scheduled
Posters II
June 7, 2022 4:50 PM
Faculty Hall
Other papers in the same session
J. M. Sánchez Santos, A. Berral-Gonzalez, S. Bueno-Fortes, M. Martin-Merino, J. De Las Rivas
A. J. Fernández Ares, N. Rico Castro, D. Romero Molina
J. M. Gutiérrez Expósito, L. A. San José Nieto, B. Abdul-Jalbar Betancor, J. Sicilia Rodríguez
L. Aromi Leaverton, C. Casacuberta Vergés, D. Farré Gil, Y. A. Katz, J. Vives Santa-Eulalia, J. Vives Santa-Eulalia
A. F. Roldán López de Hierro, M. M. Rueda García, M. Sánchez Maldonado, C. Roldán
Ú. Torres Parejo, R. Enrique Guillén, M. D. Ruiz Jiménez
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6/8/22
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