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Consider a small number of independent renewal processes, with their events superposed to create a single point process from the union of their outputs. What techniques could I use to characterise the superposition? I would like to request reading recommendations for this.

The Palm–Khintchine theorem tells us about a large number of renewal processes superposed, but that limit argument doesn't help for small numbers superimposed.

I expect Cox's 1967 book "Renewal Theory" covers this topic, but I can't see a list of contents for it. So before I go looking for it, and since it's fairly old, perhaps there are more recent textbooks that cover the subject well. Any recommendations please?

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