Randomized distributions in event recording models for multiple processes

We consider the problem of allowing for fluctuations in "recording intensity," which is reducible to randomization by an appropriate parameter. The properties (including asymptotic properties) of randomized convolutions with uniform and gamma distributions are considered. Constructive algorithms are developed for computing randomized distributions. Numerical implementation of these algorithms has made it possible to compare randomized and nonrandomized distribution for some characteristic parameter values.Translated from Vychislitel'naya Matematika i Matematicheskoe Obespechenie EVM, pp. 84–93, 1985.