Statistical inference from an axiomatic viewpoint

R. De Cristofaro
The introduction of the axioms of utility led many statisticians to think that there is only one correct statistical inference, that which complies with the results of decision theory. In reality, every theory comes to conclusions which require choices which in turn have unavoidable pragmatic consequences. But, since the axioms of a theory are accepted, it is self-sufficient. The truth of its results is relative to our conventions. We can discuss these conventions, but, unless...