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Sep 25, 2015 at 7:53 vote accept Landon Carter
Jan 23, 2015 at 19:51 comment added Alex R. @LiviuNicolaescu: I was actually thinking that what's presented in chapter 7 is not really measure theory (no sigma-algebras, simple-functions, measures, etc). Just the modes of convergence defined. The truth is I read the book after taking a class on measure theory so the concepts were of course familiar. But again, I would think that this is as good as OP will find if they want to use a book that presents "graduate" level probability with basically no mention of measures.
Jan 23, 2015 at 19:16 comment added Liviu Nicolaescu I like the book very much. But the convergence of random variables appears only in Chapter 7 and uses measure theory. Only the weakest form of convergence (in distribution) does not require measure theory.
Jan 23, 2015 at 18:39 history answered Alex R. CC BY-SA 3.0