%0 Journal Article %T Factorization property of generalized s-selfdecomposable measures and class $L^f$ distributions$^1$ %A Agnieszka Czyzewska-Jankowska %A Zbigniew J. Jurek %J Mathematics %D 2008 %I arXiv %X The method of \emph{random integral representation}, that is, the method of representing a given probability measure as the probability distribution of some random integral, was quite successful in the past few decades. In this note we will find such a representation for generalized s-selfdecomposable and selfdecomposable distributions that have the \emph{factorization property}. These are the classes $\mathcal{U}^f_{\be}$ and $L^f$, respectively %U http://arxiv.org/abs/0812.2129v2