A note on some distributions for nonlinear switching elements with finite dead time

Summary

Ricciardi et al. [3] have obtained the output distribution functions of a nonlinear switching element with a Poissonian sequence of impulses at the input. They have studied certain limiting properties of these distribution functions. However, certain limiting properties of these distributions become more obvious if one studies the underlying stochastic processes of these distributions. Further, the methods used by Ricciardi et al. for the derivation of the distribution functions and their limiting properties are quite involved. It might perhaps be useful to derive the main results of their paper by alternative simpler methods and point out the underlying stochastic processes more clearly.