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The probability distribution of the total transmission is studied for wavesmultiple scattered from a random, static configuration of scatterers. Atheoretical study of the second and third cumulant of this distribution ispresented. Within a diagrammatic approach a theory is developed which relatesthe third cumulant normalized to the average, $\langle \langle T_a^3 \rangle\rangle$, to the normalized second cumulant $\langle \langle T_a^2 \rangle\rangle$. For a broad Gaussian beam profile it is found that $\langle \langleT_a^3 \rangle \rangle= \frac{16}{5} \langle \langle T_a^2 \rangle \rangle^2 $.This is in good agreement with data of optical experiments.

Third cumulant of the total transmission of diffuse waves