Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have to get an integral in a previous post Help on an integral.. Some guru gave me hints of how to approximate its value, but I need approximation with largely varying $a$ and $b$.

I realized that it's indeed about a random variable with CDF of $$F(x) = (1-e^{-\frac{x}{2}})^b$$

So my question, is there any known random distribution have a similar CDF as above?

share|cite|improve this question
could you maybe give a bit of an insight into where it arises? It resembles some modified exponential decay functions. – Alex Jun 18 '13 at 13:54
In fact, the CDF $F(x)$ is CDF of the maximum of $b$ exponential distributed random variables. – parfois Jun 19 '13 at 0:47
Did you try this list?… – Alex Jun 19 '13 at 2:31
thanks, Alex, Weibull is somewhat similar to my CDF. But when used for this integration, the error is still large. – parfois Jun 19 '13 at 5:31

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.