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Celebratio Mathematica

Kai Lai Chung

Probability

Sums of random variables

[1]K. L. Chung: “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]K.-l. Chung: “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]K.-L. Chung and P. Er­dős: “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]K.-L. Chung: “On a lemma by Kolmogoroff,” Ann. Math. Stat­ist­ics 19 : 1 (March 1948), pp. 88–​91. MR 0023472 Zbl 0041.​24805 article

[5]K. L. Chung: “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]K. L. Chung: “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]K. L. Chung and G. A. Hunt: “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]K. L. Chung and W. Feller: “On fluc­tu­ations in coin-toss­ing,” Proc. Nat. Acad. Sci. U. S. A. 35 : 10 (1949), pp. 605–​608. MR 0033459 article

[9]K.-L. Chung: “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]K. L. Chung: “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]K. L. Chung and W. H. J. Fuchs: “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]K. L. Chung and P. Er­dős: “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]K. L. Chung: “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]K. L. Chung and M. Kac: “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]K. L. Chung: “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]K. L. Chung and M. Kac: “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