Thanks! That’s indeed the quantity I was interested in, modulo me incorrectly thinking that you computed the geometric mean of probabilities and not odds.
Given that you used odds when computing the geometric mean, I retract my earlier claim that there is such a simple closed-form limit as the number of samples goes to infinity. Thanks for the clarification!
Thanks! That’s indeed the quantity I was interested in, modulo me incorrectly thinking that you computed the geometric mean of probabilities and not odds.
Given that you used odds when computing the geometric mean, I retract my earlier claim that there is such a simple closed-form limit as the number of samples goes to infinity. Thanks for the clarification!