Boundary crossing of order statistics point processes

This paper is concerned with the first crossing of an order statistic point process through general moving boundaries. Our purpose is to determine exact boundary crossing probabilities in both one and two boundary cases. Simple recursive methods are obtained that exploit an underlying algebraic structure of polynomial type. This structure is a direct consequence of the order statistic property. The proposed approach is easy to implement and efficient. Perspectives in statistics are also announced.SCOPUS: ar.j