Journal of the
Korean Mathematical Society JKMS

A random vector $X$ on $\R^d$ with the following properties is constructed: the distribution of $X$ is infinitely divisible and not selfdecomposable, but every linear transformation of $X$ to a lower-dimensional space has a self\-decomposable distribution.

Keywords: selfdecomposable, infinitely divisible, stable

MSC numbers: 6.00E+08