This is my first post here. In a very short way I was asking for prob/stat books that are very rigorous (again, this means axioms, theorems ,proof). User whuber closed my question as a duplicate of this question. Now the other question is just asking for statistics books for non-statistician scientists. It does not require mathematical rigor as a condition. My question does. Thus, they are not duplicates. Because all answers that I see in the question that whuber thought was a duplicate of mine are either useless or answers that I am not able to judge if they would be answers to my own question.
I will copy few sentences from some answers in the question that whuber marked as a duplicate:
"with concise and accurate language, but without too much mathematics"
"A lot of Social Science / Psychology students with minimal mathematical background like Andy Field's book: Discovering Statistics Using SPSS. "
I request that my question is opened again.
Thanks for your time.