• The Frequentists see fixed parameters that define a sampling distribution from which observations are randomly sampled from.
  • The Bayesians see observations as fixed, and the parameters as being determined randomly sampled from a distribution of parameters.
  • It is more natural and optimal to be Bayesian than Frequentist.

Unfiled

  • Cox’s Axioms imply that for any mechanical system to represent beliefs, it must manipulate its beliefs based on the laws of probability.

  • The Principle of Insufficient Reason states that one should use uniform distributions when there are no other reasons to favor one distribution over another.

  • Luce’s Choice Axiom states that the probability of selecting one item over another from a pool of many items is not affected by the presence of absence of other items in the pool.

Topics

Links