If your point is that all branches of statistics are built on the same axiomatic foundations of probability, of course I agree. > To respond to your question a

If your point is that all branches of statistics are built on the same axiomatic foundations of probability, of course I agree. > To respond to your question about sample size, I'd have to look into some of the details of your question. And I can say now, that question, those details, and any answer all have essentially nothing to do with the axiomatic foundation of probability I gave; the answer is the same or essentially so independent of those foundations down in the deep sub basement of the subject. This has been my point all along.