mnb96
- 711
- 5
Hello,
in a certain context I had to deal with a random variable Y=e^X, where X follows a standard normal distribution, i.e. X\sim N(0,1).
I had to calculate the probability density function of Y, which did not seem to be difficult, and I obtained:
f_Y(y)=\frac{e^{-\frac{1}{2} \log^2(y)}}{y\sqrt{2\pi}}
The question is: does the above density function happen to be so well-known that it already has a name?
in a certain context I had to deal with a random variable Y=e^X, where X follows a standard normal distribution, i.e. X\sim N(0,1).
I had to calculate the probability density function of Y, which did not seem to be difficult, and I obtained:
f_Y(y)=\frac{e^{-\frac{1}{2} \log^2(y)}}{y\sqrt{2\pi}}
The question is: does the above density function happen to be so well-known that it already has a name?