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Mar 19, 2016 at 6:01 comment added Matthew Junge Thanks Iosif, I agree. It's a bit embarrasing, but I see now that this is one of the equivalent formulations of convergence in distribution in the Portmanteau lemma. And, thanks Anthony. I can see why "check my math" is not a popular type of post here. I do appreciate the feedback, and will be more conscientious for future posts.
Mar 17, 2016 at 19:36 comment added Iosif Pinelis You also don't need the random variables to be integer valued.
Mar 17, 2016 at 19:33 comment added Iosif Pinelis This is fine, and you don't need the independence condition.
Mar 17, 2016 at 18:35 comment added Anthony Quas Hi Matt, This looks fine, but I think people don't much like this questions of the form "please check this proof".
Mar 17, 2016 at 18:17 history asked Matthew Junge CC BY-SA 3.0