This paper is devoted to testing for the explosive bubble under time-varying non-stationary volatility. Because the limiting distribution of the seminal Phillips et al. (2011) test depends on the variance function and usually requires a bootstrap implementation under heteroskedasticity, we...

This review discusses methods of testing for explosive bubbles in a time series. A large number of recently developed testing methods under various assumptions about innovations of the errors are covered. The review also considers the methods for dating the explosive (bubble) regimes. Special...