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We offer in this article some modification of Monte-Carlo method for solvingof a linear integral Fredholm's equation of a second kind (Fredholm's wellposed problem).  We prove that the rate of convergence of offered method is optimal undernatural conditions still in an uniform norm, and construct an asymptotic aswell as non-asymptotic confidence region, again in the uniform norm.

Improved Monte-Carlo method for solving of integral Fredholm's equations of a second kind, with confidence regions in the uniform norm