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Journal of Applied Mathematics and Decision Sciences
Volume 1 (1997), Issue 2, Pages 101-117

The recurrent event process of a success preceded by a failure and its application

Department of Statistics, Massey University, Palmerston North, New Zealand

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We describe a simple discrete time renewal process of an event where a success is preceded by a failure. Its properties, especially the distributions of the counting and the interval processes, are investigated. We also propose an application to statistical process control based on the waiting time between two adjacent events. It is shown that the average number inspected under the new control scheme is larger than with the so called CCC control chart.