Statistical inference for a repairable system subject to shocks: classical vs. Bayesian

• Published in: Journal of statistical computation and simulation Vol. 90; no. 1; pp. 112 - 137
• Main Authors: Kamranfar, H., Etminan, J., Chahkandi, M.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02.01.2020; Taylor & Francis Ltd
• Subjects: Approximation; Bayesian analysis; Bayesian inference; classical inference; Computer simulation; Economic models; imperfect repair; MCMC algorithm; Monte Carlo simulation; Parameter estimation; Poisson density functions; reliability and maintainability; Repair & maintenance; Statistical analysis; Statistical inference; Weibull distribution

Consider a repairable system subject to shocks that arrive according to a non-homogeneous Poisson process (NHPP). As a shock occurs, two types of failure may be happened. Type-I failure occurs with probability q and is rectified by a minimal repair, whereas type-II failure takes place with probabili...