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We offer a simple method Monte Carlo for computation of Volterra's andspherical type multiple integrals with weak (integrable) singularities.  An elimination of infinity of variance is achieved by incorporatingsingularities in the density, and we offer a highly effective way forgeneration of appeared multidimensional distribution.  We extend offered method onto multiple Volterra's and spherical integralswith weak singularities containing parameter.

Monte Carlo computation of multiple weak singular integrals of spherical and Volterra's type