Degradation modeling based on gamma process models with random effects

The random effects in a gamma process are introduced in terms of its scale parameter. However, the scale parameter affects both its mean and variance. Hence, the variation of the degradation rates and the within degradation increments are expected to be large. For some products, the random effects a...

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Detalles Bibliográficos
Autores: Anna Patricia Rodriguez Picon, Luis Carlos Méndez-González, Manuel Ivan Rodriguez Borbon, ALEJANDRO ALVARADO-INIESTA, Luis Alberto Rodríguez-Picón
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:México
Institución:Universidad Autónoma de Ciudad Juárez
Repositorio:Repositorio Institucional de la Universidad Autónoma de Ciudad Juárez
OAI Identifier:oai:uacj.mx:oai:cathi.uacj.mx:20.500.11961ir-3799
Acceso en línea:https://www.tandfonline.com/doi/full/10.1080/03610918.2017.1324981?scroll=top&needAccess=true
Access Level:acceso abierto
Palabra clave:Bayesian inference
Gamma process
Degradation modeling
Random effects
Descripción
Sumario:The random effects in a gamma process are introduced in terms of its scale parameter. However, the scale parameter affects both its mean and variance. Hence, the variation of the degradation rates and the within degradation increments are expected to be large. For some products, the random effects affect just the rate or just the volatility of the process. Thus, two modifications of the parameters' structure of the gamma process are proposed. One implies that the random effects affect just the volatility and the second just the rate. A Bayesian estimation approach is provided and implemented in two case studies.