A note on a composition of two random integral mappings $\J^\be$ and   some examples
  A method of random integral representation, that is, a 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 show that a composition of two random integral mappings $\J^\be$ is again a random integral mapping. We illustrate our results on some examples. 
Agnieszka Czyzewska-Jankowska and Zbigniew J. Jurek