We characterize various forms of positive dependence, such as association, positive supermodular association and dependence, and positive orthant dependence, for jump-Feller processes. Such jump processes can be studied through their state-space dependent Lévy measures. It is through these Lévy measures that we will provide our characterization. Finally, we present applications of these results to stochastically monotone Feller processes, including Lévy processes, the Ornstein–Uhlenbeck process, pseudo-Poisson processes, and subordinated Feller processes.

© Applied Probability Trust 2019 This author post-print is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit Cambridge University Press's Website. © 2019. This publication is made available under the CC-BY-NC-ND 4.0 license: http://creativecommons.org/licenses/by-nc-nd/4.0/

Published as: Tu, Eddie. On Association and Other Forms of Positive Dependence for Feller Processes. Journal of Applied Probability 56, no. 2 (2019): 624-646. https://www.cambridge.org/core/journals/journal-of-applied-probability/article/on-association-and-other-forms-of-positive-dependence-for-feller-processes/F739F2C1767DE54FB82A97197BB58A90

Eddie Tu is a professor of Mathematics and Data Analytics at Dickinson College.