It’s often very difficult (intractable) to come up with a probability distribution of an estimator, even when the probability distribution of the data is known.

It’s often very difficult (intractable) to come up with a probability distribution of an estimator, even when the probability distribution of the data is known. Basically, you’d need a lot more computing power to come up with a distribution of the output of an LLM than to come up with a single answer.