I have read Rudin's Principles of Mathematical Analysis. I am now choosing one of the 2 books:
Probability and Measure by Patrick Billingsley
OR
Probability and Measure Theory by Robert Ash
I have tried to find all the sources on the Internet (e.g, amazon,..) to find which book is better. However, all of them said that both are well-written books, so I do not know which one to choose because I do not have time and want to read a comprehensive and detailed book.
Could you please give me some advice? Thanks a lot!