Is a log-normal random variable plus a positive constant still log-normal?

Question

Let $Y$ be a log-normal random variable and let $c > 0$ be a constant. Is it true that $c + Y$ is log-normal?

Any suggestion or answer would be very helpful.

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Duplicate of https://math.stackexchange.com/questions/2299482/is-cy-lognormal — callculus42, May 29 '17 at 17:35

score 4 · Answer 1 · answered May 29 '17 at 15:59

4

Notice that the support of a log-normal distribution is $(0, \infty)$.

Hence $c+Y$ can't be a lognormal.

answered May 29 '17 at 15:59

Siong Thye Goh

1 Answers1