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Celebratio Mathematica

Kai Lai Chung

Probability

Probability theory

[1]K. L. Chung and B. Liu: “Ele­ment­ary proof of a the­or­em in prob­ab­il­ity the­ory,” Math­em­at­ic­al Magazine 1 : 4 (1936). In Chinese. article

[2]K.-L. Chung: “Note on a the­or­em on quad­rat­ic residues,” Bull. Amer. Math. Soc. 47 (1941), pp. 514–​516. MR 0004823 Zbl 0027.​15605 article

[3]K. L. Chung: “On the prob­ab­il­ity of the oc­cur­rence of at least \( m \) events among \( n \) ar­bit­rary events,” Ann. Math. Stat­ist­ics 12 : 3 (September 1941), pp. 328–​338. MR 0005538 Zbl 0026.​32902 article

[4]K.-L. Chung: “On mu­tu­ally fa­vor­able events,” Ann. Math. Stat­ist­ics 13 : 3 (September 1942), pp. 338–​349. MR 0007205 Zbl 0060.​28313 article

[5]K. L. Chung: “Fur­ther res­ults on prob­ab­il­it­ies of a fi­nite num­ber of events,” Ann. Math. Stat­ist­ics 14 : 3 (September 1943), pp. 234–​237. MR 0008652 Zbl 0060.​28312 article

[6]K.-L. Chung: “On fun­da­ment­al sys­tems of prob­ab­il­it­ies of a fi­nite num­ber of events,” Ann. Math. Stat­ist­ics 14 : 2 (June 1943), pp. 123–​133. MR 0008651 Zbl 0060.​28311 article

[7]K. L. Chung: “Gen­er­al­iz­a­tion of Poin­caré’s for­mula in the the­ory of prob­ab­il­ity,” Ann. Math. Stat­ist­ics 14 (1943), pp. 63–​65. MR 0008124 Zbl 0060.​28309 article

[8]K.-L. Chung and L. C. Hsu: “A com­bin­at­or­i­al for­mula and its ap­plic­a­tion to the the­ory of prob­ab­il­ity of ar­bit­rary events,” Ann. Math. Stat­ist­ics 16 : 1 (March 1945), pp. 91–​95. MR 0011895 Zbl 0060.​28310 article

[9]P. L. Hsu and K. L. Chung: “Sur un théorème de prob­ab­il­ités dénom­brables,” C. R. Acad. Sci. Par­is 223 (1946), pp. 467–​469. In French. MR 0016563 Zbl 0060.​29308 article

[10]K.-L. Chung: “The ap­prox­im­ate dis­tri­bu­tion of Stu­dent’s stat­ist­ic,” Ann. Math. Stat­ist­ics 17 : 4 (December 1946), pp. 447–​465. MR 0018390 Zbl 0063.​00894 article

[11]K. L. Chung and P. Er­dős: “On the ap­plic­a­tion of the Borel–Can­telli lemma,” Trans. Amer. Math. Soc. 72 (1952), pp. 179–​186. MR 0045327 Zbl 0046.​35203 article

[12]K. L. Chung and J. Wolfow­itz: “On a lim­it the­or­em in re­new­al the­ory,” Ann. of Math. (2) 55 : 1 (January 1952), pp. 1–​6. MR 0044769 Zbl 0047.​12402 article

[13]K. L. Chung: “On the re­new­al the­or­em in high­er di­men­sions,” Skand. Ak­tu­ar­iet­id­skr. 35 (1952), pp. 188–​194. MR 0054879 Zbl 0048.​11103 article

[14]K. L. Chung and H. Pol­lard: “An ex­ten­sion of re­new­al the­ory,” Proc. Amer. Math. Soc. 3 (1952), pp. 303–​309. MR 0048734 Zbl 0047.​12403 article

[15]K. L. Chung: “Sur les lois de prob­ab­il­ité un­im­odales,” C. R. Acad. Sci. Par­is 236 (1953), pp. 583–​584. MR 0053419 Zbl 0050.​13702 article

[16]K. L. Chung: “On a stochast­ic ap­prox­im­a­tion meth­od,” Ann. Math. Stat­ist­ics 25 : 3 (1954), pp. 463–​483. MR 0064365 Zbl 0059.​13203 article

[17]K. L. Chung and C. Der­man: “Non-re­cur­rent ran­dom walks,” Pa­cific J. Math. 6 : 3 (1956), pp. 441–​447. MR 0081587 Zbl 0072.​35301 article

[18]K. L. Chung: “A note on the er­god­ic the­or­em of in­form­a­tion the­ory,” Ann. Math. Stat­ist. 32 : 2 (1961), pp. 612–​614. MR 0131782 Zbl 0115.​35503 article

[19]K. L. Chung and D. Orn­stein: “On the re­cur­rence of sums of ran­dom vari­ables,” Bull. Amer. Math. Soc. 68 (1962), pp. 30–​32. MR 0133148 Zbl 0104.​11904 article

[20]K. L. Chung: “On the ex­po­nen­tial for­mu­las of semi-group the­ory,” Math. Scand 10 (1962), pp. 153–​162. MR 0145355 Zbl 0106.​31201 article

[21]K. L. Chung: “Sur une équa­tion de con­vo­lu­tion,” C. R. Acad. Sci. Par­is 260 (1965), pp. 4665–​4667. MR 0187283 Zbl 0145.​15401 article

[22]K. L. Chung: “Sur une équa­tion de con­vo­lu­tion,” C. R. Acad. Sci. Par­is 260 (1965), pp. 6794–​6796. MR 0187284 Zbl 0145.​15402 article

[23]K. L. Chung: “A simple proof of Doob’s con­ver­gence the­or­em,” pp. 76 in Sémin­aire de prob­ab­il­ités V (Uni­versité de Stras­bourg, an­née uni­versitaire 1969–1970). Edi­ted by A. Dold and B. Eck­mann. Lec­ture Notes in Math­em­at­ics 191. Spring­er (Ber­lin), 1971. MR 0383551 incollection

[24]K. L. Chung: “The Pois­son pro­cess as re­new­al pro­cess,” pp. 41–​48 in Col­lec­tion of art­icles ded­ic­ated to the memory of Al­fréd Rényi, I, published as Peri­od. Math. Hun­gar. 2 : 1–​4 (1972). MR 0345232 Zbl 0278.​60061 incollection

[25]K. L. Chung: “Crudely sta­tion­ary count­ing pro­cesses,” Amer. Math. Monthly 79 : 8 (October 1972), pp. 867–​877. MR 0305466 Zbl 0253.​60043 article

[26]K. L. Chung: “A bivari­ate dis­tri­bu­tion in re­gen­er­a­tion,” J. Ap­pl. Prob­ab­il­ity 12 : 4 (December 1975), pp. 837–​839. MR 0386023 Zbl 0326.​60034 article

[27]K. L. Chung and R. Dur­rett: “Down­cross­ings and loc­al time,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 35 : 2 (1976), pp. 147–​149. MR 0405605 Zbl 0348.​60111 article

[28]K. L. Chung: “Proof of a lemma of A. V. Skoro­hod,” The­ory Probab. Math. Stat. 15 (1978), pp. 156. Eng­lish trans­la­tion of Rus­si­an ori­gin­al. Zbl 0449.​60007 article

[29]K. L. Chung and T. Lind­vall: “On re­cur­rence of a ran­dom walk in the plane,” Proc. Amer. Math. Soc. 78 : 2 (1980), pp. 285–​287. MR 550514 Zbl 0433.​60072 article

[30]K. L. Chung: “Stochast­ic ana­lys­is of \( Q \)-mat­rix,” pp. 3–​25 in Se­lec­ted top­ics on stochast­ic mod­el­ling. Edi­ted by R. Gutiér­rez and M. J. Valder­rama. World Sci­entif­ic (River Edge, NJ), 1994. MR 1320971 incollection

[31]K. L. Chung: “Sul prob­lema del ritorno all’equi­lib­rio” [On the re­turn to equi­lib­ri­um], Atti Ac­cad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Ap­pl. 10 : 3 (1999), pp. 213–​218. In Itali­an. MR 1769158 Zbl 1008.​60015 article

[32]K. L. Chung: “New solu­tion of fam­ous the­or­em,” J. Math. Res. Ex­pos­i­tion 23 : 4 (2003). In­side front cov­er. MR 2083552 article

[33]K. L. Chung: “Note on open prob­lem,” J. Math. Res. Ex­pos­i­tion 24 : 3 (2004). In­side front cov­er. MR 2084466 article

[34]K. L. Chung: “An un­solved prob­lem by Feller,” J. Math. Res. Ex­pos­i­tion 25 : 3 (2005), pp. 463–​464. MR 2163725 article