SCOPUS 정보 검색 플랫폼

Archive for History of Exact Sciences

Volumn 39, Issue 4, 1989, Pages 337-377

A. A. Markov's work on probability

(1) Sheynin, O B a

a NONE (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012063067 PISSN: 00039519 EISSN: 14320657 Source Type: Journal
DOI: 10.1007/BF00348446 Document Type: Article

Times cited : (26)

References (130)

1
- 84934177399
- A. A. Markov Theory of probability. Petersburg, 1884. A lithographic edition, in Russian.

2
- 84934177406
- A. A. Markov A note on calculating the probable turnovers of a pension fund, etc., Petersburg, 1884, in Russian.

3
- 84934177405
- Markov, A.A.¹

4
- 84991474587
- ²) d^m exp (−x²)/dx^mSur les racines de l'équation exp (x=0
- (1898) IAN , vol.9 , Issue.5 , pp. 435-446
- Markov, A.A.¹

5
- 84934177404
- A. A. Markov The law of large numbers and the method of least squares (1899) [47, pp. 231–251]. In Russian.

6
- 84934177403
- A. A. Markov A note on the problems considered by the fourth auditing commission etc. No place, no date [1899]. In Russian.

7
- 84934177407
- Réponse [to Nekrasov's article [92]]
- (1899) Kasan Bull. , vol.9 , Issue.3 , pp. 41-43
- Markov, A.A.¹

8
- 84934177408
- A. A. Markov Application des fonctions continues au calcul des probabilités. Ibid., No. 2, 29–34, in Russian.

9
- 84934177413
- 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.

10
- 33847734642
- Sur une probabilité a posteriori
- in Russian
- (1900) Kharkow Comm. , vol.7 , Issue.1 , pp. 23-25
- Markov, A.A.¹

11
- 84934177416
- A. A. Markov [Opinions on the proposed answer by Petersburg University to questions on the new statutes of universities.] Coauthors: N. E. Vvedenskyet al. Petersburg, 1901. In Russian, published as a manuscript.

12
- 84934177415
- A l'occasion de la ruine de joueurs
- (1903) Kasan Bull. , vol.13 , Issue.1 , pp. 38-45
- Markov, A.A.¹

13
- 84934177418
- 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.)

14
- 84934177417
- A. A. Markov On the solidity of glass. Unpubl., 8 pp., in Russian. [1903.]

15
- 84934177420
- A. A. Markov Extension de la loi de grands nombres etcc (1906) [47, pp. 339–361], in Russian.

16
- 33847732985
- Recherches sur un cas remarquable d'épreuvres dépendantes (1907)
- (1910) Slightly different French version: Acta math. , vol.33 , pp. 87-104
- Markov, A.A.¹

17
- 33847752985
- Sur quelques cas des théorèmes sur les limites de probabilité et des espérances mathématiques
- (1907) IAN , vol.1 , Issue.16 , pp. 707-714
- Markov, A.A.¹

18
- 84934144824
- Sur quelques cas du théorème sur la limite de probabilité
- (1908) IAN , vol.2 , Issue.6 , pp. 483-496
- Markov, A.A.¹

19
- 84934177419
- A. A. Markov L'extension des théorèmes limites du calcul des probabilités, etc. (1908) [47, pp. 363–397], in Russian.

20
- 84934177422
- A. A. Markov Recherches sur le cas général d'épreuves liées en chaîne (1910) [47, pp. 465–507], in Russian.

21
- 84934177421
- A. A. Markov Calculus of finite differences. Odessa, 1910. Second ed. In Russian.

22
- 84934177342
- A. A. Markov Sur les valeurs liées qui ne forment pas une chaîne véritable (1911) [47, pp. 399–416], in Russian.

23
- 84934177347
- 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.

24
- 84934177344
- A. A. Markov Sur un cas d'épreuves liées en chaîne multiple (1911) [47, pp. 417–436], in Russian.

25
- 84934177363
- A. A. Markov Sur les épreuves liées en chaîne par les événements laissés sans observation (1912) [47, pp. 437–463], in Russian.

26
- 0040188446
- Réponse à M. Nekrassov
- (1912) MS , vol.28 , Issue.2 , pp. 215-227
- Markov, A.A.¹

27
- 0344891583
- Essai d'une recherche statistique sur le texte du roman “Eugène Onegin”, etc.
- (1913) IAN , vol.7 , Issue.3 , pp. 153-162
- Markov, A.A.¹

28
- 84934177362
- A. A. Markov The Bicentennial of the Law of Large Numbers. [100, pp. 158–163]. Orig. publ. in Russian in 1977.

29
- 84934113383
- Sur la probabilité a posteriori
- (1914) Kharkow Comm. , vol.14 , Issue.3 , pp. 105-112
- Markov, A.A.¹

30
- 84934177360
- A. A. Markov Sur le problème de J. Bernoulli (1914) [47, pp. 509–521], in Russian.

31
- 84934177358
- On teaching mathematics etc.
- (1915) JMNP , vol.56 , Issue.3 , pp. 126-130
- Markov, A.A.¹

32
- 84934177357
- On P. S. Florov & P. A. Nekrasov's draft etc.
- (1915) JMNP , vol.57 , Issue.5 , pp. 26-34
- Markov, A.A.¹

33
- 84934177356
- A. A. Markov Sur un problème de Laplace (1915) [47, pp. 549–571], in Russian.

34
- 84934177355
- Sur l'application de la méthode des ésperances mathématiques aux sommes liées
- (1915) IAN , vol.9 , Issue.14 , pp. 1453-1484
- Markov, A.A.¹

35
- 84934177354
- A. A. Markov Seminarists and students of non-classical high schools. Newspaper Den, 11 Aug. 1915, p. 3. In Russian.

36
- 84934177366
- A. A. Markov Letter to the editor. Ibid., 28 Oct. 1915, p. 3. In Russian.

37
- 84934177372
- Rapport de la Commission concernant certaines questions de l'enseignement mathématiques dans l'école secondaire
- (1916) IAN , vol.10 , Issue.2 , pp. 66-80
- Markov, A.A.¹

38
- 84934177370
- A. A. Markov Sur le coefficient de la dispersion (1916) [47, p.p 523–535], in Russian.

39
- 84934177381
- A. A. Markov On the coefficient of dispersion for small numbers. Strakh. Obosrenie, No. 2, 1916, 55–59, in Russian.

40
- 84934157492
- Sur une application de la méthode statistique
- (1916) IAN , vol.10 , Issue.4 , pp. 239-243
- Markov, A.A.¹

41
- 84934177380
- A. A. Markov Sur quelques formules limites du calcul des probabilités (1917) [47, pp. 573–585], in Russian.

42
- 84934177383
- Sur quelques questions du calcul des probabilités
- (1918) IAN , vol.12 , Issue.18 , pp. 2101-2116
- Markov, A.A.¹

43
- 84934177382
- A. A. Markov Généralisation du problème de l'échange successif des boules (1918) [47, pp. 587–595], in Russian.

44
- 84934177378
- A. A. Markov Sur le coefficient de la dispersion (Note seconde) (1922) [47, pp. 537–547], in Russian.

45
- 84934177377
- La difficulté de la méthode des moments; deux exemples de sa solution incomplète
- (1922) IAN , vol.16 , Issue.1-18 , pp. 281-286
- Markov, A.A.¹

46
- 84934142908
- Sur les ellipsoides (ellipses) de dispersion et sur la corrélation
- (1924) IAN , vol.18 , Issue.1-11 , pp. 117-126
- Markov, A.A.¹

47
- 84934177379
- A. A. Markov Selected works. Ed. Yu. V. Linnik. Leningrad, 1951. In Russian.

48
- 84934177176
- Besikovitch, A. S., A biographic essay [on A. A. Markov] [9, 1924, pp. iii–xiv], in Russian.

49
- 84934177179
- Bernstein, S. N., Sur l'extension du théorème limite du calcul des probabilites, etc. Math. Annalen, Bd. 97, 1926, 1–59. Russ. transl.: Coll. works, vol. 4. Moscow, 1964, 121–176.

50
- 84934164182
- On P. L. Chebyshev's work on the theory of probability
- (1945) Coll. Works , vol.4 , pp. 409-433
- Bernstein, S.N.¹

51
- 84934177180
- Bernstein, S. N., Theory of probability, 4^th ed. Moscow-Leningrad, 1946. In Russian.

52
- 84934177183
- Kritische Betrachtungen zur theoretischen Statistik
- (1895) Jhrb. Nat.-Ökon. u. Stat. , vol.10 , pp. 321-360
- Bortkewitsch, L.¹

53
- 84934177170
- Bortkewitsch, L., Das Gesetz der kleinen Zahlen. Leipzig, 1898.

54
- 84934177171
- Brush, S. G., A history of random processes. 1. Brownian movement, etc. (1968). In: Stud. Hist. Stat. and Prob., vol. 2. London, 1977, Eds. M. G. Kendall & R. L. Plackett, 347–382.

55
- 84934177172
- Buniakovsky, V. Ya., Elements of the mathematical theory of probability. Petersburg, 1846. In Russian.

56
- 0005542960
- Des valeurs moyennes
- (1867) J. math. pures et appl. , vol.12 , pp. 177-184
- Chebyshev, P.L.¹

57
- 34250584430
- Sur deux théorèmes relatifs aux probabilités
- (1891) Acta math. , vol.14 , pp. 305-315
- Chebyshev, P.L.¹

58
- 84934177173
- Chebyshev, P. L., Theory of probability. Lectures delivered in 1879–1880. Moscow-Leningrad, 1936. In Russian.

59
- 84934177174
- Chuprov, A. A., Essays on the theory of statistics (1909). Moscow, 1959. In Russian.

60
- 84909667035
- Sur l'espérance mathématique du coefficient de divergence
- (1916) IAN , vol.10 , Issue.18 , pp. 1789-1798
- Chuprov, A.A.¹

61
- 84934177175
- Chuprov, A. A., Zur Theorie der Stabilität statistischer Reihen. Skand. aktuarietidskr., No. 3–4, 1918, 199–256.

62
- 84934173263
- Cournot, A. A., Exposition de la théorie des chances et des probabilités (1843). Paris, 1984.

63
- 34250111580
- On the problem of random flights
- (1985) Arch. Hist. Exact Sci. , vol.32 , Issue.3-4 , pp. 351-375
- Dutka, J.¹

64
- 84934173260
- Ehrenfest, P., & T. Ehrenfest, Über zwei bekannte Einwände gegen das Boltzmannsche H-Theorem (1907). In: Ehrenfest, P., Coll. scient, papers. Amsterdam, 1959, 146–149.

65
- 84934173261
- Ellis, R. L., On the method of least squares (1844). In author's Math. and other writings. Cambridge, 1863, 12–37.

66
- 84934149234
- The case of A. A. Markov's excommunication from the church
- (1954) Voprosy istorii religii i ateisma , vol.2 , pp. 397-411
- Emeliakh, L.I.¹

67
- 84934144665
- On P. L. Chebyshev's unpublished course in the theory of probability
- (1986) First Intern. Congr. Bernoulli Soc., Theses , vol.2 , pp. 918
- Ermolaeva, N.S.¹

68
- 84934173251
- Fletcher, A., et al., An index of mathematical tables, vol. 1. Oxford, 1962.

69
- 84934173254
- Galloway, T., A treatise on probability. Edinburgh, 1839.

70
- 84934173248
- Gnedenko, B. V., & O. B. Sheynin, Theory of probability. In: Math. of the 19^thcentury. Eds. A. N. Kolomogorov & A. P. Youshkevitch. Moscow, 1978, 184–240. In Russian.

71
- 84934173249
- Grodsensky, S. Ya., Chess in the life of scientists. Ed. A. A. Markov, Jr., Moscow, 1983. In Russian.

72
- 84934173258
- L'oeuvre pédagogique de A. Markov
- (1923) IAN , vol.17 , Issue.1-18 , pp. 35-44
- Günther, N.¹

73
- 84934173278
- Hagen, G., Grundzüge der Wahrscheinlichkeitsrechnung (1837). Berlin, 1867.

74
- 84934173279
- Heiss, K.-P., & W. Lexis. Intern. Enc. Stat., vol. 1. Eds. W. H. Kruskal & Judith M. Tanur. New York-London, 1978, 507–512.

75
- 84934173280
- Heyde, C. C., & E. Seneta, I. J. Bienaymé. New York a.o., 1977.

76
- 84934173281
- Idelson, N. I., Method of least squares, etc., Moscow, 1947. In Russian.

77
- 84934173282
- Kolomogorov, A. N., The role of Russian science in the development of the theory of probability. Uch. zap. Moscow Univ., No. 91, 1947, 53–64, in Russian.

78
- 84934173283
- Kolmogorov, A. N., Commentary to Chebyshev's paper [57]. In: Chebyshev's Complete works, vol. 3, Moscow-Leningrad, 1948, 404–409. In Russian.

79
- 84934173267
- Lexis, W., Über die Theorie der Stabilität statistischer Reihen (1879). In author's Abh. zur Theorie der Bevölkerungs- und Moralstatistik. Jena, 1903, 170–212.

80
- 0039433614
- Sur une proposition de la théorie des probabilités
- (1900) IAN , vol.13 , Issue.4 , pp. 359-386
- Liapunov, A.M.¹

81
- 0010943038
- Nouvelle forme du théorème sur la limite de probabilité
- (1901) Zapiski Acad. Sci. Pétersbg. , vol.12 , Issue.5 , pp. 24
- Liapunov, A.M.¹

82
- 84934173269
- Reply to P. A. Nekrasov.
- (1901) Zapiski Kharkow Univ. , vol.3 , pp. 51-63
- Liapunov, A.M.¹

83
- 84934173270
- Linnik, Yu. V., et al., An essay on A. A. Markov's works on the theory of numbers and the theory of probability [47, pp. 614–640], in Russian.

84
- 84934173273
- Linnik, Yu. V., et al., Commentaries on A. A. Markov's works on the theory of probability [47, pp. 654–678], in Russian.

85
- 84934173303
- Maievsky, N., An exposition of the method of least squares. Petersburg, 1881. In Russian.

86
- 84934173301
- Maistrov, L. E., Probability theory. New York-London, 1974. Orig. publ. in Russian in 1967.

87
- 84934173302
- Markov, A. A. Jr., The life of A. A. Markov, Sr. [47, pp. 599–613]. In Russian.

88
- 84934173297
- The minutes of the Council of the Petersburg University, issue No. 61. Petersburg, 1905 (1906). In Russian.

89
- 84934173300
- (All publications are in Russian) Lagrange's series
- (1885) etc. MS , vol.12 , pp. 49-188
- Nekrasov, P.A.¹

90
- 84934173294
- Nekrasov, P. A., Theory of probability. Lectures delivered in 1887–1888. No place, no date. Lithographic edition. Subsequent editions: 1894 (lithographic), 1896 and 1912 (typographically printed textbooks).

91
- 0039777050
- Propriétés générales des phénomènes nombreux indépendants
- (1898) etc. MS , vol.20 , Issue.3 , pp. 431-442
- Nekrasov, P.A.¹

92
- 84934173296
- A l'occasion du mémoire de A. Markof
- (1899) Kasan Bull. , vol.9 , Issue.1 , pp. 18-26
- Nekrasov, P.A.¹

93
- 84934173291
- Nouveaux fondements de la théorie des probabilités des sommes et des moyennes
- (1900) MS , vol.21 , pp. 579-763
- Nekrasov, P.A.¹

94
- 84934113657
- Statistical concentrations and the free causal relationship
- (1910) JMNP , vol.27 , Issue.5 , pp. 207-211
- Nekrasov, P.A.¹

95
- 84934161384
- Sur les fondements de la loi des grands nombres
- (1911) etc. MS , vol.27 , Issue.4 , pp. 433-451
- Nekrasov, P.A.¹

96
- 84934150082
- La théorie de Laplace de la méthode des moindres carrés
- (1912) etc., MS , vol.28 , Issue.2 , pp. 228-234
- Nekrasov, P.A.¹

97
- 84934173293
- The theory of probability and mathematics in secondary school
- (1915) JMNP , vol.55 , Issue.2 , pp. 65-127
- Nekrasov, P.A.¹

98
- 84934173288
- Nekrasov, P. A., The secondary school, etc., Petrograd, 1916.

99
- 84934173320
- Neyman, J., Review of book [100]. Hist. Math., vol. 5, No. 4, 1978, 485–486.

100
- 84934173321
- Ondar, Kh. O., ed., The correspondence between A. A. Markov and A. A. Chuprov. New York etc., 1981. Orig. publ. in Russian in 1977.

101
- 84934173322
- Ondar, Kh. O., A review of the correspondence between A. A. Markov and A. A. Chuprov. [100, pp. 136–145].

102
- 84934173323
- Poincaré, H., Calcul des probabilités. Paris, 1896 et 1912.

103
- 84934106056
- Réflexions sur le calcul des probabilités
- (1899) Rev. gén. sci. pures et appl. , vol.10 , pp. 262-269
- Poincaré, H.¹

104
- 84934173314
- Poincaré, H., La science et l'hypothèse (1902). Paris, 1923.

105
- 84934173316
- Poincaré, H., Science et méthode (1908). Paris, 1914.

106
- 0141487134
- Braunschweig, German transl.
- (1841) Recherches sur la probabilité des jugements etc.
- Poisson, S.-D.¹

107
- 84911639565
- Sur la probabilité des résultats moyens des observations
- (1824) Conn. temps pour , vol.1827 , pp. 273-302
- Poisson, S.-D.¹

108
- 84934173318
- Pólya, G., Wahrscheinlichkeitsrechnung, etc. In: Handb. der biol. Arbeitsmethoden. Hrsg., E. Abderhalden. Abt. 5, Tl. 2. Berlin-Wien, 1928, 669–758.

109
- 84934173319
- A few words about P. A. Nekrasov's article [of 1915].
- (1915) JMNP , vol.59 , Issue.9 , pp. 71-76
- Posse, K.A.¹

110
- 84934173309
- Généralisation d'une inégalité de Markoff
- (1925) C. r. Acad. sci. Paris , vol.180 , pp. 1468-1470
- Romanovskii, V.I.¹

111
- 84934173310
- Romanovskii, V. I., Mathematical statistics, vol. 1. Tashkent, 1961. In Russian. First ed.: 1938.

112
- 84934173363
- Seneta, E., Least squares in prerevolutionary Russia. First Austr. Conf. hist. Math. 1980. Clayton, 1981, 168–174.

113
- 0039777062
- The central limit theorem and linear least squares in prerevolutionary Russia
- (1984) etc., Math. Scientist , vol.9 , pp. 37-77
- Seneta, E.¹

114
- 2942606317
- P. S. Laplace's work on probability
- (1976) Arch. Hist. Exact Sci. , vol.16 , Issue.2 , pp. 137-187
- Sheynin, O.B.¹

115
- 0346808744
- Laplace's theory of errors
- (1977) Arch. Hist. Exact Sci. , vol.17 , Issue.1 , pp. 1-61
- Sheynin, O.B.¹

116
- 0141710490
- S.-D. Poisson's work in probability
- (1978) Arch. Hist. Exact Sci. , vol.18 , Issue.3 , pp. 245-300
- Sheynin, O.B.¹

117
- 0346582689
- C. F. Gauss and the theory of errors
- (1979) Arch. Hist. Exact Sci. , vol.20 , Issue.1 , pp. 21-72
- Sheynin, O.B.¹

118
- 0020459373
- On the history of medical statistics
- (1982) Arch. Hist. Exact Sci. , vol.26 , Issue.3 , pp. 241-286
- Sheynin, O.B.¹

119
- 0141487133
- On the history of the statistical method in astronomy
- (1984) Arch. Hist. Exact Sci. , vol.29 , Issue.2 , pp. 151-199
- Sheynin, O.B.¹

120
- 0041399309
- A. Quetelet as a statistician
- (1986) Arch. Hist. Exact Sci. , vol.36 , Issue.4 , pp. 281-325
- Sheynin, O.B.¹

121
- 84934173355
- Sheynin, O. B., J. Bernoulli and the beginnings of the theory of probability. In: Bernoulli, J., On the law of large numbers. Moscow, 1986, 83–115. In Russian.

122
- 84934173354
- Slutsky, E. E., The theory of correlation. Kiev, 1912. In Russian.

123
- 84934173357
- Slutsky, E. E., On the logical foundations of the calculus of probability (1925). Selected Works, Moscow, 1960, 18–24. In Russian.

124
- 84934173356
- Stigler, S. M., The history of statistics. Cambridge (Mass.)-London, 1986.

125
- 84934173359
- Tikhomandritsky, M. A., A course in the theory of probability. Kharkov, 1898. In Russian.

126
- 84934173358
- Vasiliev, A. V., The theory of probability. Kasan, 1885. A lithographic edition, in Russian.

127
- 0004233161
- Über der Gleichverteilung von Zahlen mod. 1 (1916)
- (1968) Ges. Abh. , vol.1 , pp. 563-599
- Weyl, H.¹

128
- 84934173361
- On the theory of the method of least squares
- (1893) Zapiski Novoross. Univ. , vol.58 , pp. 193-208
- Yaroshenko, S.P.¹

129
- 0042189039
- (1974) Markov. Dict. Scient. Biogr. , vol.9 , pp. 124-130
- Youshkevitch¹

130
- 84934173360
- On the form of ships (1890)
- In Russian
- (1949) Coll. works , vol.2 , pp. 627-639
- Zhukovsky¹

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