- #1

kingwinner

- 1,270

- 0

## Homework Statement

"Almost sure convergence" always implies "convergence in probability", but the converse is NOT true.

Thus, there exists a sequence of random variables Y

_{n}such that Y

_{n}->0 in probability, but Y

_{n}does not converge to 0 almost surely.

## Homework Equations

N/A

## The Attempt at a Solution

I think this is possible if the Y's are independent, but still I can't think of an concrete example. What is of example of this happening?

Any help is appreciated! :)