Well, I thought I understood the difference between (weak) convergence in probability, and almost sure convergence.(adsbygoogle = window.adsbygoogle || []).push({});

My prof stated that when dealing with discrete probability spaces, both forms of convergence are the same.

That is, not only does A.S. convergence imply weak convergence, as it always does, but in the discrete case, weak convergence implies A.S. convergence.

I've been trying to wrap my head around why this is so, but can't seem to "see" it.

Any ideas?

Thanks!

**Physics Forums - The Fusion of Science and Community**

# Convergence of Random Variables on Discrete Prob Spaces

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Convergence of Random Variables on Discrete Prob Spaces

Loading...

**Physics Forums - The Fusion of Science and Community**