“…According to the characteristics of randomness, latency, independence and inheritance of construction accidents (Zhou et al, 2020;Li et al, 2010;Sanni-Anibire et al, 2020), this work considers the development and evolution of safety risk in the future as a random process and then study the process from risk to accident from the perspective of random process. Although great progress has been made in probabilistic risk assessment theory (Ang & Tang, 2007;Li et al, 1993;Zhou & Ding, 2017;Williamson & Winget, 2005) and they have been widely used in the prediction and assessment of construction accidents, the current used probability theory is based on stochastic variable (Kang & Ryu, 2019;Choe & Leite, 2020;Zhang et al, 2020b;Isaac & Edrei, 2016;Andolfo & Sadeghpour, 2015;Jamot & Park, 2019;Nnaji & Karakhan, 2020), while using stochastic process theory to analyze construction safety risk problem is very rare. But actually, stochastic processes theory was widely used in many applications, such as asset integrity, fault detection and diagnosis.…”