Musara, Nigel2022-09-142022-09-142021https://hdl.handle.net/10539/33180A research report submitted to the Faculty of Science, University of the Witwatersrand, in fulfilment of the requirements for the degree of Master of Science, 2021In [23], Wen-Chi Kuo, Jessica Vardy and Bruce A. Watson extended the concept of the binomial and poisson distributions to random processes in Riesz spaces. In the current project, we extend the work of Kuo, Vardy and Watson to random processes with small hitting probability and yields laws of small numbersenThesis