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We propose a non-Gaussianity test for gravitational wave backgrounds bycombining data streams of multiple detectors. This simple method allows us tocheck whether a detected background is "smooth" enough to be consistent with aninflation-type background, or is contaminated by individually undetectable weakburst signals. The proposed test would be quite useful for the Big BangObserver or DECIGO whose primary target is a background from inflation at0.1-1Hz where gravitational wave bursts from supernovae of population III starsmight become a troublesome foreground.

Non-Gaussianity test for discriminating gravitational wave backgrounds around 0.1-1Hz