Nested subclasses of the class of $\alpha$-selfdecomposable distributions

Makoto Maejima, Yohei Ueda

A probability distribution $\mu$ on ${\mathbb{R}}^d$ is selfdecomposable if its characteristic function $\hat{\mu }(z),z\in {\mathbb{R}}^d$, satisfies that for any $b>1$, there exists an…