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Feb 28, 2019 at 18:37 comment added whuber Since you are using Bayesian methodology, I don't see why you even need to compute expectations: aren't you interested in the posterior distribution? Use properties of that distribution that are suitable for your analysis, such as modes and measures of spread around those modes.
Feb 28, 2019 at 17:39 comment added Justin Solomon Sure, this amounts to reasoning about the quotient space directly. But notions like expectation are weird in this quotient. For example, using [0,2pi) to represent the unit circle neglects the fact that 2pi=0 (mod 2pi), which gets in the way of computing expectations and other quantities.
Feb 28, 2019 at 15:08 comment added whuber en.wikipedia.org/wiki/Fundamental_domain
Feb 28, 2019 at 13:00 vote accept Justin Solomon
Feb 28, 2019 at 5:32 answer added Xi'an timeline score: 3
Feb 28, 2019 at 0:35 comment added Justin Solomon Afraid I don’t know what that means! Might you have a pointer? Do statistical theorems carryover to this case?
Feb 28, 2019 at 0:08 comment added whuber Usually one just chooses a fundamental domain for the group action.
Feb 27, 2019 at 23:54 history asked Justin Solomon CC BY-SA 4.0