Distributions based on upcrossings, upward crossings, positive reflections and their runs in a generalized random walk
Jagdish Saran, Sarita Rani · Communication in Statistics- Theory and Methods · 1991
This paper deals with the derivation of the joint and marginal probability distributions of same rank order statistics related to the generalized random walk with steps +1 and -μ by using the extended Dwass technique evolved by Mohanty and Handa (1970). The rank order statistics considered include number of upcrossings, number of upward crossings, number of positive reflections and their runs.