“…The algorithms provided by Phillips, Wu, and Yu (2011), Phillips, Shi, and Yu (2015a, 2015b) are able to detect bubble behaviour and date‐stamp its origination and collapse. These methods are widely used in the empirical study of asset price bubbles in various markets, including the stock market (see Basse et al ., 2021; Horváth, Li, and Liu, 2021; Li, Wang, and Zhao, 2021), housing market (See Phillips and Yu, 2013; Greenaway‐McGrevy and Phillips, 2016; Shi et al ., 2016), cryptocurrency market (see Cheung, Roca, and Su, 2015; Corbet, Lucey, and Yarovaya, 2018; Bouri, Shahzad, and Roubaud, 2019), oil market (see Fantazzini, 2016; Caspi, Katzke, and Gupta, 2018; Gharib, Mefteh‐Wali, and Jabeur, 2021), precious metals market (see Figuerola‐Ferretti, Gilbert, and McCrorie, 2015; Pan, 2018; and Ma and Xiong, 2021), exchange rate market and others (see Etienne, Irwin, and Garcia, 2014; Kräussl, Lehnert, and Martelin, 2016; Shi, Hurn, and Phillips, 2020). These models are built in a non‐stationary framework.…”