As someone who started by studying classical statistics where the Central Limit theorem is key to making inferences, and only later now am studying Bayesian statistics, I was late to realize that the Central Limit Theorem has a much smaller role to play in Bayesian statistics. Does the Central Limit Theorem play any role at all in Bayesian inference/statistics?

Later Addition: From Bayesian Data Analysis by Gelman et.al. 3rd edition - on the central limit in the Bayesian context. "This result is often used to justify approximating the posterior distribution with a normal distribution" (page 35)

As someone who started by studying classical statistics where the Central Limit theorem is key to making inferences, and only later now am studying Bayesian statistics, I was late to realize that the Central Limit Theorem has a much smaller role to play in Bayesian statistics. Does the Central Limit Theorem play any role at all in Bayesian inference/statistics?

Later Addition: From Bayesian Data Analysis by Gelman et.al. 3rd edition - on the central limit in the Bayesian context. "This result is often used to justify approximating the posterior distribution with a normal distribution" (page 35). I went through a graduate course in Bayesian Statistics without encountering an example in which the posterior was approximated with a normal distribution. Under what circumstances is it useful to approximate the posterior with a normal distribution?

As someone who started by studying classical statistics where the Central Limit theorem is key to making inferences, and only later now am studying Bayesian statistics, I was late to realize that the Central Limit Theorem has a much smaller role to play in Bayesian statistics. Does the Central Limit Theorem play any role at all in Bayesian inference/statistics?

As someone who started by studying classical statistics where the Central Limit theorem is key to making inferences, and only later now am studying Bayesian statistics, I was late to realize that the Central Limit Theorem has a much smaller role to play in Bayesian statistics. Does the Central Limit Theorem play any role at all in Bayesian inference/statistics?

Later Addition: From Bayesian Data Analysis by Gelman et.al. 3rd edition - on the central limit in the Bayesian context. "This result is often used to justify approximating the posterior distribution with a normal distribution" (page 35)