Zur �berlagerung von Erneuerungsprozessen

A class of bivariate Poisson processes

“…The restriction to identically distributed marginal processes can be relaxed. This characterization is the point process analogue of a result obtained for bivariate Poisson distributions by Tyan and Thomas (1975) and Wood (1970) [1], [2], [3], [4]. The same conclusion has been conjectured to be obtained without assuming that the components are renewal processes.…”

Renewal processes decomposable into i.i.d. components

“…be their superposition. It is well known that if N and N, 's are renewal processes they are all Poisson [1], [2], [3], [4]. The same conclusion has been conjectured to be obtained without assuming that the components are renewal processes.…”

Superposition and decomposition of stationary point processes

“…The next resultwas established by Stormer (1969); Daley (1973a) also proved it by a different method.…”