Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第50回ISCIE「確率システム理論と応用」国際シンポジウム(2018年11月, 京都)
Reliability Analysis Using Real Options Based on Hierarchical Bayesian Methods
Toru Kaise
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2019 年 2019 巻 p. 218-222

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Real option approaches are handled for reliability evaluations based on degradation models. In general, the reliability analysis is focused on a random variable of life data, and the Weibull distribution is used as a reliability modeling. However a degradation process is significant for making value of the reliability. In particular, stochastic process models are useful for representations of the degradation paths. In this paper, a hierarchical Bayesian VG (Variances Gamma) model is proposed for the representation of the degradation phenomenon, and the real option method based on a simulation is applied to the reliability evaluation using the model. It is also shown that other reliability approaches for the degradation analysis are handles based on GARCH (Generalized Autoregressive Conditional Heteroskedasticity) and SV(Stochastic Volatility) models, and a method of comparison for the models based on the information criterion EIC is proposed.

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© 2019 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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