Average number of events and average reward

Authors
Citation
J. Mi, Average number of events and average reward, PROB ENG I, 14(4), 2000, pp. 485-510
Citations number
12
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Engineering Mathematics
Journal title
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES
ISSN journal
0269-9648 → ACNP
Volume
14
Issue
4
Year of publication
2000
Pages
485 - 510
Database
ISI
SICI code
0269-9648(2000)14:4<485:ANOEAA>2.0.ZU;2-1
Abstract
In a renewal process, the interarrival times are independent and identicall y distributed, and in a renewal reward process, the pairs of reward and int erarrival time are i.i.d. Many useful results hold for these processes. Thi s paper relaxes the assumption of identical distributions while keeping the assumption of independence. This paper explores the properties of the mean average number of occurrence of events and the mean average reward on any finite time interval. The paper also discusses the limiting properties of t hese two quantities and extends many results from the renewal process and r enewal reward process to the more general counting process and reward seque nce.