Bitcoin: A Non-Markovian Stochastic Process

Abstract

In this paper, a mathematical model is constructed that would capture the pattern of the MSD of fluctuations of Bitcoin unit prices over time in daily basis by applying the method of White Noise Analysis. The raw data of 2805 ordered points (t,p) are used in the study, which are taken from coindesk.com, where p is the Bitcoin unit price at given time t.