A Poisson-Type Limit Theorem for Mixing Sequences of Dependent 'Rare' Events
Richard M. Meyer · The Annals of Probability · 1973
Certain mixing sequences of dependent `rare' events are considered and a Poisson limit is established for the probability that $k$ events occur. An asymptotic distribution for the number of upcrossings of a high level by certain stochastic processes is considered as an application.