Jul 24, 2013 Thread starter #1 O oyth94 Member Jun 2, 2013 33 How do I prove that given Xn converges almost surely to X, that f(Xn) will converge almost surely to f(X)?
How do I prove that given Xn converges almost surely to X, that f(Xn) will converge almost surely to f(X)?
Jul 24, 2013 #2 Fantini "Read Euler, read Euler." - Laplace MHB Math Helper Feb 29, 2012 342 Re: converging almost surely proof Hello oyth! Can you please clarify what is $X_n$, $X$ and what are the domain and codomain of the map $f$? Although intuition tells me that probably continuity guarantees what you want, perhaps we can weaken that condition. Cheers!
Re: converging almost surely proof Hello oyth! Can you please clarify what is $X_n$, $X$ and what are the domain and codomain of the map $f$? Although intuition tells me that probably continuity guarantees what you want, perhaps we can weaken that condition. Cheers!