## Linda Green

*A limit theorem on subintervals of interrenewal times*

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**Abstract:**

Consider a renewal process {X_{n}, n ≥ 1} for which there is defined an associated sequence of independent and identically distributed random variables {B_{n}, n ≥ 1} such that B_{n} is the length of a subinterval of X_{n}. We show that when attention is restricted only to B-intervals, the asymptotic joint distribution of the residual life and total life of a B-interval is that of a renewal process generated by {B_{n}, n ≥ 1}.

**Source:** *Operations Research*

**Exact Citation:**

Green, Linda. "A limit theorem on subintervals of interrenewal times." *Operations Research* 30, no. 1 (1982): 210-216.

**Volume:** 30

**Number:** 1

**Pages:** 210-216

**Date:**
1982