%0 Journal Article %T Elementary Uncertain Renewal Reward Theorem and Its Strict Proof %A Xiaojing Shi %A Xingfang Zhang %J Open Access Library Journal %V 3 %N 2 %P 1-6 %@ 2333-9721 %D 2016 %I Open Access Library %R 10.4236/oalib.1102366 %X 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. %K Elementary Theorem %K Renewal Reward Process %K Uncertain Process %K Uncertainty Theory %U http://www.oalib.com/paper/4455483