Stationary renewal processes

✍ Scribed by G.P. Klimov

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 223 KB
• Volume: 5
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(92)90138-y

✦ Synopsis

Let (tn = .zo + . . . + 2,)~ be renewal instants sequence. Suppose that the random variables (Zn)N are independent and the corresponding renewal process is stationary (in weak sense) with a finite positive intensity. Then there exists an integer d 2 1 such that the sequence (t,d)n10 forms a stationary recurrent renewal process and zm = 0 almost surely if m # nd, Vn E N.