TY - JOUR

T1 - Certain class of nonuniform estimates in multidimensional limit theorems

AU - Zaitsev, A. Yu

PY - 1994/2/1

Y1 - 1994/2/1

N2 - Quantities of the form | F(X) - G(X) | are estimated, where F and G are the convolutions of certain k-dimensional probability distributions, while X is a convex polyhedron in Rk. Estimates of the form | F(X) - G(X) | ≤ c(k)εβ(F, G, X) are proved, differing from the known ones by the presence of the factor β(F, G, X) in the right-hand side, which may turn out to be small if the polyhedron X is small in a definite sense.

AB - Quantities of the form | F(X) - G(X) | are estimated, where F and G are the convolutions of certain k-dimensional probability distributions, while X is a convex polyhedron in Rk. Estimates of the form | F(X) - G(X) | ≤ c(k)εβ(F, G, X) are proved, differing from the known ones by the presence of the factor β(F, G, X) in the right-hand side, which may turn out to be small if the polyhedron X is small in a definite sense.

UR - http://www.scopus.com/inward/record.url?scp=0039408254&partnerID=8YFLogxK

U2 - 10.1007/BF01254270

DO - 10.1007/BF01254270

M3 - Article

AN - SCOPUS:0039408254

VL - 68

SP - 459

EP - 468

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -