A Bivariate Gamma Model for a Latent Degradation Process |
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| Authors: | Soudabeh Shemehsavar |
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| Affiliation: | School of Mathematics, Statistics and Computer Science, University of Tehran, Tehran, Iran and School of Mathematics, Institute for Research in Fundamental Science(IPM), Tehran, Iran |
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| Abstract: | A model is presented in this article based on a bivariate gamma process in which, the first component is latent and determines the failure time and the second represents the marker. This process is a more realistic model for a degradation process. After introducing the model, we obtain failure and survival probability distributions and discuss parametric and predictive inferences based on the Maximum Likelihood method and in a Bayesian setup. |
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| Keywords: | Bivariate gamma process Degradation process Marker process First-hitting time Prediction Reliability Statistical inference MCMC method. |
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