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This paper provides an objective Bayesian inference method with partial information based on generalized Type-II progressive hybrid censored data. We first derive a reference prior with partial information on the unknown parameters and then show that this leads to suitable posterior distributions. In addition, we provide a prediction method based on the derived reference prior with partial information for the remaining service life when a unit has survived until a certain time point. The validity of the proposed approach is assessed through Monte Carlo simulations and a real data analysis.

Objective Bayesian analysis for the Weibull distribution with partial information under the generalized type-II progressive hybrid censoring scheme