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Owing to the popular usage of JPEG images, the steganographic tools for JPEG images emerge increasingly nowadays, among which OutGuess, F5, and the model based steganography are the most advanced. Advancing the previous work, we present a new universal steganalysis method based on statistical moments derived from both image 2-D array and JPEG 2-D array in this paper. In addition to the first order histogram, the second order histogram is considered. Consequently, the moments of 2-D characteristic functions are also used for steganalysis. Extensive experimental works have shown that the proposed method outperforms in general the prior-arts of steganalysis methods in attacking the three aforesaid steganographic schemes.