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《Journal of Southeast University》 1991-06
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Excess Life of the Geometric Process and Its Distribution

Zhang Yuanlin (Department of Mathematics and Mechanics)  
The interarrival times for the renewal process are a sequence of nonnegative independent random variables with a common distribution. A natural generalization is to consider a counting process for which the interarrival times are a sequence of nonnegative independent random variables with a different distribution but P{X_n = aX_(n+1) } = 1. Such a counting process is called a geometric process. In this paper, we introduce and study the excess life of the geometric process and its distribution. These results make the corresponding ones in the renewal process a special case.
【CateGory Index】: O 1;21;221.6
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