1. Two Uniform Limit Theorems for Sums of Independent Random Variables
A. N. Kolmogorov
Theory Probab. Appl. Volume 1, Issue 4, pp. 384-394 (January 1956) (translation into english)
http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=TPRBAU000001000004000384000001&idtype=cvips&gifs=yes&ref=no
2.
On a Uniform Limit Theorem of A. N. Kolmogorov
Yu. V. Prokhorov
Theory Probab. Appl. Volume 5, Issue 1, pp. 98-106 (January 1960) (translation into english)
http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=TPRBAU000005000001000098000001&idtype=cvips&gifs=yes&ref=no
3.
TSAREGRADSKII,
I. P. (1958).
On uniform approximation of the binomial distribution by infinitely divisible distributions.
Theory Probab. Appl. 3 434-438
谢谢