In order to provide a methodology to detect bubbles in time series, Phillips, Wu, and Yu [23] proposed the supremum augmented Dickey-Fuller (SADF) test. This applies a series of right-tailed unit root tests to expanding windows of a time series (with a fixed start date), defined by where r2 is the final data point to be considered in each window, starting at r0 which is a fraction representing the smallest allowed window size and expanding to 1(the complete data set).
— “Those are among the more visible recent fruits of a well-funded campaign by Mr. Orban in the United States that stretches back a decade and now stands as a case study in how governments around the world seek to shape policies and debates in Washington, sometimes raising concerns about improper foreign influence in U.S. politics.”

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