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A simple, unified treatment is given for three basic results in the theory of stationary streams of events (point processes). These results are the basic theorem of Khintchine concerning the existence of a stream intensity, Korolyuk’s theorem, and a fundamental lemma of Dobrushin giving sufficient conditions for a stationary stream to be  orderly  in the sense of Khintchine [ 2 ].

On three basic results in the theory of stationary point processes