“…We mainly focus on linear structural models and establish the asymptotic validity of the bootstrap for DWH exogeneity tests, when IVs may be arbitrary weak (weak instruments). Moreira and Suarez (2009) show in the context of hypotheses specified on struc-1 See, for example, Durbin (1954), Wu (1973Wu ( , 1974Wu ( , 1983aWu ( , 1983b, Revankar and Hartley (1973), Farebrother (1976), Hausman (1978), Revankar (1978), Dufour (1979Dufour ( , 1987, Hwang (1980), Kariya and Hodoshima (1980), Hausman and Taylor (1981), Spencer and Berk (1981), Nakamura and Nakamura (1981), Engle (1982), Holly (1982), Reynolds (1982), Smith (1983Smith ( , 1984, Thurman (1986), Smith and Pesaran (1990), Ruud (1984Ruud ( , 2000, Newey (1985aNewey ( , 1985b, Wong (1996), Ahn (1997), Baum, Schaffer and Stillman (2003).…”