Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Topic:
could anyone give me a counterexample of a random sequence being almost sure convergent but not convergent in mean square sense?
Replies:
0




could anyone give me a counterexample of a random sequence being almost sure convergent but not convergent in mean square sense?
Posted:
May 3, 2012 5:18 PM


In the random process, it is known that almost sure convergence and mean square convergence does not imply each other. But intuitively, being almost sure convergent is a very strong sense. Could anyone provide an example of a random sequence being almost sure convergent but not convergent in mean square sense?



