The life and work of A.A. Markov

Linear Algebra and Its Applications

Volumn 386, Issue 1-3 SUPPL., 2004, Pages 3-26

  Basharin, Gely P ^a   Langville, Amy N ^b   Naumov, Valeriy A ^c  

^a PEOPLES FRIENDSHIP UNIVERSITY OF RUSSIA   (Russian Federation)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

^c LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Andrei A. Markov biography; Markov chain; Weak law of large numbers

Indexed keywords

COMPUTATION THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MARKOV PROCESSES; PROBABILITY; STATISTICAL METHODS;

ANDREI A. MARKOV BIOGRAPHY; RANDOM VARIABLES; WEAK LAW OF LARGE NUMBERS;

NUMBER THEORY;

EID: 2942525860     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2003.12.041     Document Type: Conference Paper

References (40)

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19. A.A. Markov, Ischislenie veroyatnostej, SPb, 1900; 2-e izd., SPb, 1908, Translated into German, Wahrscheinlichkeits-Rechnung, Teubner, Leipzig-Berlin, 1912; 3-e izd., SPb, 1913; 4-e izd., Moskva, 1924.
20. A.A. Markov, Rasprostranenie zakona bol'shih chisel na velichiny, zavisyaschie drug ot druga, Izvestiya Fiziko-matematicheskogo obschestva pri Kazanskom universitete, 2-ya seriya 15 (94) (1906) 135-156.
21. A.A. Markov, Issledovanie zamechatel'nogo sluchaya zavisimyh ispytanij, Izvestiya Akademii Nauk, SPb, VI seriya 1 (93) (1907) 61-80 (Translated into French, Recherches sur un cas remarquable d'epreuves dependantes, Acta Math., Stockholm 33 (1910) 87-104).
22. A.A. Markov, Issledovanie zamechatel'nogo sluchaya zavisimyh ispytanij, Izvestiya Akademii Nauk, SPb, VI seriya 1 (93) (1907) 61-80 (Translated into French, Recherches sur un cas remarquable d'epreuves dependantes, Acta Math., Stockholm 33 (1910) 87-104).
23. A.A. Markov, Rasprostranenie predel'nyh teorem ischisleniya veroyatnostej na summu velichin svyazannyh v cep', Zapiski Akademii Nauk po Fiziko-matematicheskomu otdeleniyu, VIII seriya 25 (3) (1908). Translated into German, Ausdehnung der Satze uber die Grenzwerte in der Wahrscheinlichkeitsrechnung auf eine Summe verketteter Grossen, in: A.A. Markoff (Ed.), Wahrscheinlichkeitsrechnung (translated by H. Liebmann), B.G. Teuber, Leipzig, 1912, pp. 272-298. Translated into English, Extension of the limit theorems of probability theory to a sum of variables connected in a chain (translated by S. Petelin) in: R.A. Howard (Ed.), Dynamic Probabilities Systems, vol. 1, Wiley, New York, 1971, pp. 552-576.
24. A.A. Markov, Rasprostranenie predel'nyh teorem ischisleniya veroyatnostej na summu velichin svyazannyh v cep', Zapiski Akademii Nauk po Fiziko-matematicheskomu otdeleniyu, VIII seriya 25 (3) (1908). Translated into German, Ausdehnung der Satze uber die Grenzwerte in der Wahrscheinlichkeitsrechnung auf eine Summe verketteter Grossen, in: A.A. Markoff (Ed.), Wahrscheinlichkeitsrechnung (translated by H. Liebmann), B.G. Teuber, Leipzig, 1912, pp. 272-298. Translated into English, Extension of the limit theorems of probability theory to a sum of variables connected in a chain (translated by S. Petelin) in: R.A. Howard (Ed.), Dynamic Probabilities Systems, vol. 1, Wiley, New York, 1971, pp. 552-576.
25. A.A. Markov, Rasprostranenie predel'nyh teorem ischisleniya veroyatnostej na summu velichin svyazannyh v cep', Zapiski Akademii Nauk po Fiziko-matematicheskomu otdeleniyu, VIII seriya 25 (3) (1908). Translated into German, Ausdehnung der Satze uber die Grenzwerte in der Wahrscheinlichkeitsrechnung auf eine Summe verketteter Grossen, in: A.A. Markoff (Ed.), Wahrscheinlichkeitsrechnung (translated by H. Liebmann), B.G. Teuber, Leipzig, 1912, pp. 272-298. Translated into English, Extension of the limit theorems of probability theory to a sum of variables connected in a chain (translated by S. Petelin) in: R.A. Howard (Ed.), Dynamic Probabilities Systems, vol. 1, Wiley, New York, 1971, pp. 552-576.
26. Markov A.A. Issledovanie obschego sluchaya ispytanij, svyazannyh v cep'. Zapiski Akad. Nauk po Fiziko-matematicheskomu otdeleniyu, VIII seriya. 25(93):1910.
27. Markov A.A. Ob odnom sluchae ispytanij, svyazannyh v slozhnuyu cep'. Izv. Akad. Nauk, SPb, VI seriya. 5(93):1911;171-186.
28. Markov A.A. Ob ispytaniyah, svyazannyh v cep' ne nablyudaemymi sobytiyami. Izv. Akad. Nauk, SPb, VI seriya. 6(98):1912;551-572.
29. Markov A.A. Primer statisticheskogo issledovaniya nad tekstom "Evgeniya Onegina", illyustriruyuschij svyaz' ispytanij v cep'. Izv. Akad. Nauk, SPb, VI seriya. 7(93):1913;153-162.
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34. S.-D. Poisson, Recherches sur la Probabilité des Jugements en Matiere Criminelle et en Metière Civile, Précédées des Regles Générales du Calcul des Probabilitiés, Paris, Bachelier, Imprimeur-Libraire pour les Mathematiques, 1837.
35. Schneider H. The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, Konig and Markov. Linear Algebra Appl. 18:1977;139-162.
36. Seneta E. Markov and the birth of chain dependence theory. Int. Statist. Rev. 64(3):1996;255-263.
37. Seneta E. Review of the correspondence between A.A. Markov and A.A. Chuprov on the theory of probability and mathematical statistics. Ann. Sci. 39:1982;614-617.
38. Sheynin O.B. A.A. Markov's work on probability. Arch. His. Exact Sci. 39:1988;337-377.
39. Sheynin O.B. Laplace's work on probability. Arch. Hist. Exact Sci. 16:1976;137-187.
40. Photos of Markov and family from web, http://logic.pdmi.ras.ru/Markov/, August 2003.