# can a random variable donimant

• July 22nd 2010, 07:41 AM
jill
can a random variable donimant
Given two random variables x and y, and a constant c

What conditions are needed to make:

$Prob( w x + y < c ) \approx Prob( w x < c ), \text{ for } w \rightarrow \infty$

Can anyone help?

I think $E(x) < \infty$ and $E(y) < \infty$ might do. Is this right?

tks!!!!
• July 24th 2010, 07:59 PM
matheagle
1 I assume, for all c?
2 Do you want one or two tilde's?
One means that the limit of the ratio is 1
Two means that the limit of the ratio is not infinite, O(1).