The theory of probability: Its definition and its relation to statistics

Archive for History of Exact Sciences

Volumn 52, Issue 2, 1998, Pages 99-108

  Sheynin, Oscar ^a  

^a NONE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141487144     PISSN: 00039519     EISSN: 14320657     Source Type: Journal    
DOI: 10.1007/s004070050012     Document Type: Article

References (51)

1. Bernoulli, J. (1713), Ars Conjectandi. German transi.: Wahrscheinlichkeitsrechnung. Leipzig, 1899.
2. Bernoulli, J. (1975), [Aus den Meditationes], Werke, Bd. 3, pp. 21-89. Basel. Bearb., B. L. van der Waerden. Written in 1684-1689.
3. Bolshaia Sovetskaia Enziklopedia, eds. 1-3. Third ed. (1970-1978) transl. into English, volume-to-volume, as Great Sov. Enc. New York-London, 1973-1983.
4. Bolshev, L.N. (1975), Errors, theory of. BSE, 3rd ed., vol. 19, pp. 44-45 of the Engl. ed.
5. Boole, G. (1851), On the theory of probabilities. In author's Studies in logic and prob., vol. 1, pp. 247-259. London, 1952.
6. Boole, G. (1854), On the conditions by which the solution of questions in the theory of probabilities are limited. Ibid., pp. 280-288.
7. Bortkiewicz, L. (1904), Anwendung der Wahrscheinlichkeitsrechnung auf Statistik. Enc. math. Wiss., Bd. 1, Leipzig, 822-851.
8. (R) Chebyshev, P.L. (1845), Opyt elementarnogo analiza teorii veroiatnostei [An essay on an elementary study of the theory of prob.], Poln. sobr. soch. [Complete works], vol. 5. Moscow-Leningrad, 1951, pp. 26-87.
9. (R) Chebyshev, P.L. (1936), Teoria veroiatnostei [Theory of prob.]. Lectures read in 1880. Publ. from notes taken by A.M. Liapunov. Ed., A.N. Krylov. Moscow-Leningrad, 1936.
10. De Moivre, A. (1756), The doctrine of chances. New York, 1967.
11. Eddington, A.S. (1933), Notes on the method of least squares. Proc. Phys. Soc., vol. 45, 271-287.
12. Fourier, J.B.J. (1826), Sur les résultats moyens. Oeuvr., t. 2, 525-545. Paris, 1890.
13. Grossmann, W. (1961), Grundzüge der Ausgleichungsrechnung. Berlin.
14. Huygens, C. (1657), Letter to van Schooten prefixed to his memoir De ratiociniis ... OC, t.14. La Haye, pp. 49-91. In Dutch and French. The French version of the letter is on pp. 57-58.
15. (R) Kemnitz, Yu.V. (1957), On the density law of the errors of observation. Geod. i kartogr., No. 10, 21-29.
16. (R) Kolmogorov, A.N. (1948), The main problems of theoretical statistics. Soveshchanie (1948, pp. 216-220).
17. Laplace, P.S. (1774), Sur la probabilité des causes par les événements. OC, t. 8. Paris, pp. 27-65.
18. Laplace, P.S. (1776), Recherches sur l'intégration des équations différentielles aux différences finies. Ibid., pp. 69-197.
19. Laplace, P.S. (1781). Mémoire sur les probabilités. OC, t. 9. Paris, 1893, pp. 383-485.
20. Laplace, P.S. (1786), Sur les approximations des formules etc, Suite, OC, t. 10, 295-338. Paris, 1894.
21. Laplace, P.S. (1812), Théorie analytique des probabilités. OC, t. 7, No. 2. Paris, 1886, pp. 181-496.
22. Laplace, P.S. (1814), Essai philosophique sur les probabilités. Ibid., No. 1, separate paging.
23. Laplace, P.S. (1818), Deuxième supplement to Laplace (1812). OC, t. 7, No. 2, 531-580.
24. Laplace, P.S. (ca. 1819), Troisième supplement to Laplace (1812). Ibid., pp. 581-616.
25. Leibniz, G.W. (1765), Neue Abhandlungen über den menschlichen Verstand, Bd. 2. Frankfurt/Main, 1961.
26. Lévy, P. (1925), Calcul des probabilités. Paris.
27. (R) Markuse, Yu.I. (1985), Matematicheskaia obrabotka resultatov geodesicheskikh izmerenii [Math, treatment of geod. obs.]. Itogi nauki i tekhniki, Geod. i aeros'emka ser., vol. 23 (the whole volume). Moscow.
28. Mises, R. von (1919a), Fundamentalsätze der Wahrscheinlichkeitsrechnung. (Math. Z, Bd. 4). In von Mises (1964b, pp. 35-56).
29. Mises, R. von (1919b), Grundlagen der Wahrscheinlichkeitsrechnung. (Math. Z, Bd. 5). Ibid., pp. 57-105.
30. Mises, R. von (1972), Wahrscheinlichkeit, Statistik und Wahrheit. Wien-New York. Orig. publ. in 1928.
31. Mises, R. von (1964a), Mathematical theory of probability and statistics. Ed. & compl. by Hilda Geiringer. New York-London. Based on author's lectures given at several universities (1939-1952) and on other materials. His Harvard lectures were mimeographed in 1946, see von Mises (1964b, p. 563).
32. Mises, R. von (1964b), Selected papers, vol. 2. Providence, RI.
33. Montmort, P.R. (1713), Essay d'analyse sur les jeux de hazard. New York, 1980.
34. Neyman, J. (1950), First course in probability and statistics. London.
35. Öttinger, L. (1852), Wahrscheinlichkeitsrechnung. Berlin.
36. Pascal, B. (1963), Oeuvres complètes. Paris, one-volume ed.
37. Pearson, K. (1926), A. De Moivre. Nature, vol. 117, 551-552.
38. Pearson, K. (1978), The history of statistics in the 17th and 18th centuries. Lectures given in 1921-1933. Ed., E. S. Pearson. London-High Wycombe.
39. e ann., t. 3, 160-163.
40. Poisson, S.D. (1827), Discours prononcé aux obsèques de... Laplace. Conn, des teins pour 1830. Additions, pp. 19-22.
41. Poisson, S.D. (1837), Recherches sur la probabilité des jugements. Paris.
42. Poisson, S.D., Dulong, P.L., Larrey, F.H., Double, F.J. (1835), [Report on a manuscript by J.] Civiale, Recherches de statistique ... C.r. Acad. sci. Paris., t. 1, 167-177.
43. Prokhorov, Yu.V., Sevastianov, B.A. (1971), Probability, theory of. BSE, 3rd ed., vol. 4, pp. 425-429 of the Engl. transl.
44. Rainsford, H.F. (1957), Survey adjustment and least squares. London.
45. (R) Romanovsky, V.I. (1939), Errors, theory of. BSE, 1st ed., vol. 43, 725-727.
46. (R) Romanovsky, V.I. (1955), Errors, theory of. BSE, 2nd ed., vol. 31, 500-501.
47. Shell, E.D. (1960), S. Pepys, I. Newton and probability. Amer. statistician, vol. 14, No. 4, 27-30.
48. Sheynin, O.B. (1976), Laplace's work on probability. Arch. hist. ex. sci., vol. 16, 137-187.
49. Sheynin, O.B. (1994), Chebyshev's lectures on the theory of probability. Ibid., vol. 46, 321-340.
50. Sheynin, O.B. (1995), Density curves in the theory of errors. Ibid., vol. 49, 163-196.
51. (R) Soveshchanie (1948), Vtoroe vsesoiuznoe soveshchanie po matematicheskoi statistike [The second All-Union conf. math. stat.]. Tashkent.