Treating the power-prior parameter beta as an inferred hyperparameter lets one nested sampling run automatically cope with unrepresentative priors and yield corrected evidence estimates.
Monthly Notices of the Royal Astronomical Society 398(4):1601--1614
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Bayesian posterior repartitioning for nested sampling
Treating the power-prior parameter beta as an inferred hyperparameter lets one nested sampling run automatically cope with unrepresentative priors and yield corrected evidence estimates.