### Probability theory

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

[2] : “Note on a theorem on quadratic residues,” Bull. Amer. Math. Soc. 47 (1941), pp. 514–516. MR 0004823 Zbl 0027.15605 article

[3] :
“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] : “On mutually favorable events,” Ann. Math. Statistics 13 : 3 (September 1942), pp. 338–349. MR 0007205 Zbl 0060.28313 article

[5] : “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] : “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] : “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] : “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] : “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] : “The approximate distribution of Student’s statistic,” Ann. Math. Statistics 17 : 4 (December 1946), pp. 447–465. MR 0018390 Zbl 0063.00894 article

[11] : “On the application of the Borel–Cantelli lemma,” Trans. Amer. Math. Soc. 72 (1952), pp. 179–186. MR 0045327 Zbl 0046.35203 article

[12] : “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] : “On the renewal theorem in higher dimensions,” Skand. Aktuarietidskr. 35 (1952), pp. 188–194. MR 0054879 Zbl 0048.11103 article

[14] : “An extension of renewal theory,” Proc. Amer. Math. Soc. 3 (1952), pp. 303–309. MR 0048734 Zbl 0047.12403 article

[15] : “Sur les lois de probabilité unimodales,” C. R. Acad. Sci. Paris 236 (1953), pp. 583–584. MR 0053419 Zbl 0050.13702 article

[16] : “On a stochastic approximation method,” Ann. Math. Statistics 25 : 3 (1954), pp. 463–483. MR 0064365 Zbl 0059.13203 article

[17] : “Non-recurrent random walks,” Pacific J. Math. 6 : 3 (1956), pp. 441–447. MR 0081587 Zbl 0072.35301 article

[18] : “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] : “On the recurrence of sums of random variables,” Bull. Amer. Math. Soc. 68 (1962), pp. 30–32. MR 0133148 Zbl 0104.11904 article

[20] : “On the exponential formulas of semi-group theory,” Math. Scand 10 (1962), pp. 153–162. MR 0145355 Zbl 0106.31201 article

[21] : “Sur une équation de convolution,” C. R. Acad. Sci. Paris 260 (1965), pp. 4665–4667. MR 0187283 Zbl 0145.15401 article

[22] : “Sur une équation de convolution,” C. R. Acad. Sci. Paris 260 (1965), pp. 6794–6796. MR 0187284 Zbl 0145.15402 article

[23] : “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] : “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] : “Crudely stationary counting processes,” Amer. Math. Monthly 79 : 8 (October 1972), pp. 867–877. MR 0305466 Zbl 0253.60043 article

[26] : “A bivariate distribution in regeneration,” J. Appl. Probability 12 : 4 (December 1975), pp. 837–839. MR 0386023 Zbl 0326.60034 article

[27] : “Downcrossings and local time,” Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 35 : 2 (1976), pp. 147–149. MR 0405605 Zbl 0348.60111 article

[28] : “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] : “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] :
“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] : “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] : “New solution of famous theorem,” J. Math. Res. Exposition 23 : 4 (2003). Inside front cover. MR 2083552 article

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

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