- #1
mnb96
- 715
- 5
Hello,
in a certain context I had to deal with a random variable [itex]Y=e^X[/itex], where X follows a standard normal distribution, i.e. [itex]X\sim N(0,1)[/itex].
I had to calculate the probability density function of Y, which did not seem to be difficult, and I obtained:
[tex]f_Y(y)=\frac{e^{-\frac{1}{2} \log^2(y)}}{y\sqrt{2\pi}}[/tex]
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 [itex]Y=e^X[/itex], where X follows a standard normal distribution, i.e. [itex]X\sim N(0,1)[/itex].
I had to calculate the probability density function of Y, which did not seem to be difficult, and I obtained:
[tex]f_Y(y)=\frac{e^{-\frac{1}{2} \log^2(y)}}{y\sqrt{2\pi}}[/tex]
The question is: does the above density function happen to be so well-known that it already has a name?