First Sentence
Throughout this text, ={(tn,kn) : n Z+} denotes a simple marked point process (mpp) on the non-negative time line R+, indexed by the non-negative integers Z+, that is, a sequence of strictly increasing points O t0<t1<t2<. . . , lim tn= , (1.1) called event times or arrival times and marks kn, imagined as objects brought by each arrival, taking values in a space K, the mark space. 
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