What are some Bayesian ways to see if two empirical distributions come from the same data-generating process? Are any of the Bayesian alternatives implemented in Matlab/R/Python?
Solved – What are some Bayesian alternatives to the Kolmogorov-Smirnov test
bayesiandistributionskolmogorov-smirnov test
Best Answer
Given that the two-sample Kolmogorov-Smirnov test is a nonparametric procedure, you have to dig into the area of Bayesian nonparametrics to find Bayesian analogous tools.
Here is a paper where you can start:
http://arxiv.org/abs/0910.5060
I warn you that nonparametric Bayesian theory is not easy to digest.