A Bayesian bootstrap for a finite population is introduced; its small-sample distributional properties are discussed and compared with those of the frequentist bootstrap for a finite population. It is also shown that the two are first-order asymptotically equivalent.
"A Bayesian Bootstrap for a Finite Population." Ann. Statist. 16 (4) 1684 - 1695, December, 1988. https://doi.org/10.1214/aos/1176351061