Abbreviations
- IAN :
-
Izvestia Akad. Nauk, ser. 5 (up to 1906 inclusive) or 6 (from 1907). French subtitle: Bull. Acad. Sci. Up to 1917 the Akademia was called Petersburg Academy, and, from 1917 to 1925, Russian Academy
- JMNP :
-
Zhurnal Ministerstva narodnogo prosveshchenia (J. Ministry people's educ.)
- Kasan Bull. :
-
Izvestia phys.-math. Obschchestva Kasan Univ. (French subtitle: Bull. Soc. phys.-math. Kasan), ser. 2
- Kharkow Comm. :
-
Soobshchenia Kharkow math. obshchestva (French subtitle: Communications Soc. math. Kharkow), ser. 2
- MS :
-
Matematichesky zbornik
References
A. A. Markov Theory of probability. Petersburg, 1884. A lithographic edition, in Russian.
A. A. Markov A note on calculating the probable turnovers of a pension fund, etc., Petersburg, 1884, in Russian.
A. A. Markov Table des valeurs de l'intégrale \(\int\limits_\infty ^\infty {\exp {\text{ (}} - t^{\text{2}} )}\) exp (−t2) dt. Pétersbourg, 1888.
Sur les racines de l'équation exp (x 2) d m exp (−x 2)/dx m=0. IAN, t. 9, No. 5, 1898, 435–446. Russ. transl. [47, pp. 253–269].
A. A. Markov The law of large numbers and the method of least squares (1899) [47, pp. 231–251]. In Russian.
A. A. Markov A note on the problems considered by the fourth auditing commission etc. No place, no date [1899]. In Russian.
Réponse [to Nekrasov's article [92]]. Kasan Bull., t. 9, No. 3, 1899, 41–43, in Russian.
A. A. Markov Application des fonctions continues au calcul des probabilités. Ibid., No. 2, 29–34, in Russian.
A. A. Markov Calculus of probability. Petersburg, 1900. In Russian. Subsequent editions: 1908, 1913 and 1924. Markov, who died in 1922, had time to prepare the last edition which also includes an essay [48] on Markov's life and work. The German translation of the edition of 1908 by H. Liebmann (Wahrscheinlichkeitsrechnung. Leipzig-Berlin, 1912) contains as appendices (German translations of) three of Markov's articles [4; 19; 22]. The translations of both the textbook and the articles differ somewhat from their original versions. The last section of the textbook (pp. 487–581 of the edition of 1924) was added in 1913 and is also available, again in a somewhat different version, in French: Démonstration du second théorème-limite, etc., Pétersbourg, 1913.
Sur une probabilité a posteriori. Kharkow Comm., t. 7, No. 1, 1900, 23–25 (in Russian).
A. A. Markov [Opinions on the proposed answer by Petersburg University to questions on the new statutes of universities.] Coauthors: N. E. Vvedensky et al. Petersburg, 1901. In Russian, published as a manuscript.
A l'occasion de la ruine de joueurs. Kasan Bull., t. 13, No. 1, 1903, 38–45, in Russian.
A. A. Markov Debates in the First [phys.-math.] Department of the Academy of Sciences on the election of B. B. Golytzin to full member of the Academy. Petersburg, 1903. In Russian. (Speeches by five academicians, including Markov.)
A. A. Markov On the solidity of glass. Unpubl., 8 pp., in Russian. [1903.]
A. A. Markov Extension de la loi de grands nombres etcc (1906) [47, pp. 339–361], in Russian.
Recherches sur un cas remarquable d'épreuvres dépendantes (1907). Slightly different French version: Acta math., t. 33, 1910, 87–104.
Sur quelques cas des théorèmes sur les limites de probabilité et des espérances mathématiques. IAN, t. 1, No. 16, 1907, 707–714, in Russian.
Sur quelques cas du théorème sur la limite de probabilité. IAN, t. 2, No. 6, 1908, 483–496, in Russian.
A. A. Markov L'extension des théorèmes limites du calcul des probabilités, etc. (1908) [47, pp. 363–397], in Russian.
A. A. Markov Recherches sur le cas général d'épreuves liées en chaîne (1910) [47, pp. 465–507], in Russian.
A. A. Markov Calculus of finite differences. Odessa, 1910. Second ed. In Russian.
A. A. Markov Sur les valeurs liées qui ne forment pas une chaîne véritable (1911) [47, pp. 399–416], in Russian.
A. A. Markov On the basic principles of the calculus of probability and on the Law of Large Numbers. [100, pp. 149–153]. Orig. publ. in Russian in 1977.
A. A. Markov Sur un cas d'épreuves liées en chaîne multiple (1911) [47, pp. 417–436], in Russian.
A. A. Markov Sur les épreuves liées en chaîne par les événements laissés sans observation (1912) [47, pp. 437–463], in Russian.
Réponse à M. Nekrassov. MS, t. 28, No. 2, 1912, 215–227, in Russian.
Essai d'une recherche statistique sur le texte du roman “Eugène Onegin”, etc., IAN, t. 7, No. 3, 1913, 153–162, in Russian.
A. A. Markov The Bicentennial of the Law of Large Numbers. [100, pp. 158–163]. Orig. publ. in Russian in 1977.
Sur la probabilité a posteriori. [Second note.] Kharkow Comm., t. 14, No. 3, 1914, 105–112, in Russian.
A. A. Markov Sur le problème de J. Bernoulli (1914) [47, pp. 509–521], in Russian.
On teaching mathematics etc. JMNP, t. 56. No. 3, 1915, pp. 126–130 of section on people's education, in Russian.
On P. S. Florov & P. A. Nekrasov's draft etc. JMNP, t. 57, No. 5, 1915, 26–34 of section on current chronicle, in Russian.
A. A. Markov Sur un problème de Laplace (1915) [47, pp. 549–571], in Russian.
Sur l'application de la méthode des ésperances mathématiques aux sommes liées. IAN, t. 9, No. 14, 1915, 1453–1484, in Russian.
A. A. Markov Seminarists and students of non-classical high schools. Newspaper Den, 11 Aug. 1915, p. 3. In Russian.
A. A. Markov Letter to the editor. Ibid., 28 Oct. 1915, p. 3. In Russian.
Rapport de la Commission concernant certaines questions de l'enseignement mathématiques dans l'école secondaire. IAN, t. 10, No. 2, 1916, 66–80, in Russian. The Commission was drawn up from members of the Academy of Sciences and included Markov.
A. A. Markov Sur le coefficient de la dispersion (1916) [47, p.p 523–535], in Russian.
A. A. Markov On the coefficient of dispersion for small numbers. Strakh. Obosrenie, No. 2, 1916, 55–59, in Russian.
Sur une application de la méthode statistique. IAN, t. 10, No. 4, 1916, 239–243, in Russian.
A. A. Markov Sur quelques formules limites du calcul des probabilités (1917) [47, pp. 573–585], in Russian.
Sur quelques questions du calcul des probabilités. IAN, t. 12, No. 18, 1918, 2101–2116, in Russian.
A. A. Markov Généralisation du problème de l'échange successif des boules (1918) [47, pp. 587–595], in Russian.
A. A. Markov Sur le coefficient de la dispersion (Note seconde) (1922) [47, pp. 537–547], in Russian.
La difficulté de la méthode des moments; deux exemples de sa solution incomplète. IAN, t. 16, No. 1–18, 1922 (1924), 281–286, in Russian.
Sur les ellipsoides (ellipses) de dispersion et sur la corrélation. IAN, t. 18, No. 1–11, 1924, 117–126, in Russian.
A. A. Markov Selected works. Ed. Yu. V. Linnik. Leningrad, 1951. In Russian.
Other Authors
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Sheynin, O.B. A. A. Markov's work on probability. Arch. Hist. Exact Sci. 39, 337–377 (1989). https://doi.org/10.1007/BF00348446
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DOI: https://doi.org/10.1007/BF00348446