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- W2045761102 abstract "1. Notation and generalities. We shall in this paper deal with sums of independent, identically distributed, positive, continuous random variables, whose distribution lies within the domain of attraction of a stable law. We denote the random variables by Xk, k = 1, 2, * , their distribution function by F(x), and their sum by Sn = 1 Xk- We thus are given (1) P(Xk > x) = 1 -F(x) = h(x)lxy for x > xo where 0 <y <2, and h(x) is such that for any positive constant c, rim h(cn)/h(n) = 1." @default.
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- W2045761102 date "1956-01-01" @default.
- W2045761102 modified "2023-09-24" @default.
- W2045761102 title "On strong bounds for sums of independent random variables which tend to a stable distribution" @default.
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- W2045761102 doi "https://doi.org/10.1090/s0002-9947-1956-0077015-7" @default.
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