A multivariate Poisson theorem for the number of solutions close to given vectors of a system of random linear equations
V. A. Kopyttsev

References
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4.	Mikhailov V. G., “Skhodimost k protsessu s nezavisimymi prirascheniyami v skheme narastayuschikh summ zavisimykh sluchainykh velichin”, Matem. sb., 94 (1974), 283–299