One may find this question a duplicate, but my search through CrossValidated did not give satisfactory result. So I am posting this question and explaining what I want.
I need a book such that if one studies it - one knows he has no "white spots" in basic stats. On modern probability, in my opinion, the book of Olav Kallenberg (2nd edition) is such a book. It is also well composed and written. There are few other books getting close to it, but (in my opinion) they are worse.
There is huge number of books on stats and whenever I need to look up for something or recall something I never know which one to chose. So I just need one book in which I can look up for answers to basic (and "advanced") questions on any standard topic.