I think everyone knows that(adsbygoogle = window.adsbygoogle || []).push({});

Q(x)= P(X>x) where X is a Gaussian Random variable.

Now I was reading about it and it says that Q(x) is bounded as follows

Q(x)≤ (1/2)(e^{-x2/2}) for x≥0

and

Q(x)< [1/(√(2∏)x)](e^{-x2/2}) for x≥0

and the lower bound is

Q(x)> [1/(√(2∏)x)](1-1/x^{2}) e^{-x2/2}for x≥0

Can you tell me how you get this?

Thanks a lot.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Bounds of Q(x)

**Physics Forums | Science Articles, Homework Help, Discussion**