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In this article, we consider two operations of random measures: O-dot product and the convolution product by Morse-Transue integral. With these two operations, we construct algebras of random measures. Also we investigate further on the explicit forms of the products of Wiener processes by O-dot operation and by Morse-Transue integral convolution.doi:10.5539/ijsp.v8n6p70 fatcat:2gx34vqy2fcmnmrglybt55arna