TITLE:
Elementary Uncertain Renewal Reward Theorem and Its Strict Proof
AUTHORS:
Xiaojing Shi, Xingfang Zhang
KEYWORDS:
Elementary Theorem, Renewal Reward Process, Uncertain Process, Uncertainty Theory
JOURNAL NAME:
Open Access Library Journal,
Vol.3 No.2,
February
16,
2016
ABSTRACT: Uncertain renewal reward process, of which the interarrival times and
rewards (or costs) are regarded as uncertain variables, is an important branch
of Liu’s uncertainty theory. At present, there is a lack of strict proof for
the elementary theorem. Therefore, the paper gives its strict proof with two
lemmas by some techniques.