ABSTRACT

Renewal processes: Let Tn, for n 1, be a sequence of iid nonnegative random variables with the common distribution (function) F (t) satisfying F (0) = P (Tn = 0) < 1. Let

Sn = T1 + + Tn;

called the nth renewal time, and set S0 = 0. The sequence Sn is called a renewal sequence. The time interval (Sn1; Sn] between two successive renewals is called a renewal cycle and its length is Tn.