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Testing For Multiple Bubbles: Limit Theory Of Real-Time Detectors, Peter C. B. Phillips, Shuping Shi, Jun Yu
Testing For Multiple Bubbles: Limit Theory Of Real-Time Detectors, Peter C. B. Phillips, Shuping Shi, Jun Yu
Research Collection School Of Economics
This article provides the limit theory of real-time dating algorithms for bubble detection that were suggested in Phillips, Wu, and Yu (PWY; International Economic Review 52 [2011], 201-26) and in a companion paper by the present authors (Phillips, Shi, and Yu, 2015; PSY; International Economic Review 56 [2015a], 1099-1134. Bubbles are modeled using mildly explosive bubble episodes that are embedded within longer periods where the data evolve as a stochastic trend, thereby capturing normal market behavior as well as exuberance and collapse. Both the PWY and PSY estimates rely on recursive right-tailed unit root tests (each with a different recursive …