### Sums of ~~random variables~~

[1] : “On the maximum partial sum of independent random variables,” Proc. Nat. Acad. Sci. U. S. A. 33 : 5 (May 1947), pp. 132–136. MR 0021671 Zbl 0029.15203 article

[2] : “Note on some strong laws of large numbers,” Amer. J. Math. 69 : 1 (January 1947), pp. 189–192. MR 0019853 Zbl 0034.07103 article

[3] : “On the lower limit of sums of independent random variables,” Ann. of Math. (2) 48 : 4 (October 1947), pp. 1003–1013. MR 0023010 Zbl 0029.15202 article

[4] : “On a lemma by Kolmogoroff,” Ann. Math. Statistics 19 : 1 (March 1948), pp. 88–91. MR 0023472 Zbl 0041.24805 article

[5] : “Asymptotic distribution of the maximum cumulative sum of independent random variables,” Bull. Amer. Math. Soc. 54 : 12 (1948), pp. 1162–1170. MR 0027972 Zbl 0035.08601 article

[6] : “On the maximum partial sums of sequences of independent random variables,” Trans. Amer. Math. Soc. 64 (1948), pp. 205–233. MR 0026274 Zbl 0032.17102 article

[7] :
“On the zeros of __\( \sum^n_ 1\pm 1 \)__,”
Ann. of Math. (2)
50 : 2
(April 1949),
pp. 385–400.
MR
0029488
Zbl
0032.41701
article

[8] : “On fluctuations in coin-tossing,” Proc. Nat. Acad. Sci. U. S. A. 35 : 10 (1949), pp. 605–608. MR 0033459 article

[9] : “An estimate concerning the Kolmogoroff limit distribution,” Trans. Amer. Math. Soc. 67 : 1 (September 1949), pp. 36–50. MR 0034552 Zbl 0034.22602 article

[10] : “Fluctuations of sums of independent random variables,” Ann. of Math. (2) 51 : 3 (May 1950), pp. 697–706. MR 0035410 Zbl 0037.08301 article

[11] : “On the distribution of values of sums of random variables,” Mem. Amer. Math. Soc. 1951 : 6 (1951). 12 pages. MR 0040610 Zbl 0042.37502 article

[12] : “Probability limit theorems assuming only the first moment, I,” Mem. Amer. Math. Soc., 1951 : 6 (1951), pp. 19. MR 0040612 Zbl 0042.37601 article

[13] : “The strong law of large numbers,” pp. 341–352 in Proceedings of the second Berkeley symposium on mathematical statistics and probability, 1950 (Berkeley, CA, July 31–August 12, 1950). Edited by J. Neyman. University of California Press (Berkeley, CA and Los Angeles, CA), 1951. MR 0045328 Zbl 0044.13701 inproceedings

[14] : “Remarks on fluctuations of sums of independent random variables,” Mem. Amer. Math. Soc. 1951 : 6 (1951), pp. 11. MR 0040611 Zbl 0042.37503 article

[15] : “Corrections to my paper ‘Fluctuations of sums of independent random variables’,” Ann. of Math. (2) 57 (1953), pp. 604–605. MR 0053424 Zbl 0051.35601 article

[16] : “Corrections to the paper ‘Remarks on fluctuations of sums of independent random variables’,” Proc. Amer. Math. Soc. 4 : 4 (August 1953), pp. 560–563. MR 0056228 Zbl 0050.35304 article