Question: 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.

Answer: 
Presumably the person who asked this question is long gone, but for future reference I will mention a book here. Note: I have not read this book.

*Theoretical Statistics: Topics for a Core Course*, by Robert W. Keener. Amazon: [link.](https://rads.stackoverflow.com/amzn/click/com/B00DGER7WG)

I quote the last three lines of the review by Amazon user Der Boandlkramer:

> 
> This book is in a class by itself!
> 
> 
> Its natural companion (and prerequisite, to some extent) textbook on
>  probability is the monumental "Foundations of Modern Probability," by
>  Olav Kallenberg.
> 
> 
> 

For whatever it's worth, Keener's book is used at UCLA (STAT 200B).
Peter Bickel and Kjell Doksum wrote *Mathematical Statistics* [*Volume 1*](http://rads.stackoverflow.com/amzn/click/1498723802) and [*Volume 2.*](http://rads.stackoverflow.com/amzn/click/1498722687) The two books form a comprehensive guide to modern (frequentist) statistical methods at a level of mathematical sophistication similar to Kallenberg.