Question on convergence in probability

**nidhalodeh** · October 28th 2008, 04:07 AM

Dear All
Hello

I have one question on convergence in probability as attached, could u please help me to solve it

thank you
Nidhal

**HallsofIvy** · October 28th 2008, 04:23 AM

If $x- y< \epsilon/2$ and $y- z< \epsilon/2$ , then $x- z= (x- y)+ (y- z)< \epsilon$ .

**nidhalodeh** · October 28th 2008, 05:12 AM

Dear HallsofIvy
Thank you for your reply,

could you please discuss about the answer to let me understand

x converge in probability to y does it mean x-y<epsilon/2
please clarify the answer

Thank you
Nidhal

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