Project Euclid

References

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• Bachelier, L. (1900). Théorie de la spéculation. Ann. Sci. École Norm. Supér. (3) 17 21--86. This was Bachelier's doctoral dissertation. Reprinted in facsimile in 1995 by Éditions Jacques Gabay, Paris. An English translation, by A. J. Boness, appears in P. H. Cootner, ed. (1964). The Random Character of Stock Market Prices 17--78. MIT Press.
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• Bernstein, S. N. (1917).\textcyrOpyt aksiomaticheskogo obosnovaniya teorii veroyatnosteĭ (On the axiomatic foundation of the theory of probability).\textcyrSoobshcheniya Harp1kovskogo Matematicheskogo Obshchestva (Communications of the Kharkiv Mathematical Society) 15 209--274. Reprinted in S. N. Bernstein (1964).\textcyrSobranie Sochineniĭ 10--60. Nauka, Moscow.
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• Blackwell, D. (1956). On a class of probability spaces. Proc. Third Berkeley Symp. Math. Statist. Probab. 2 1--6. Univ. California Press, Berkeley.
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• Blum, A. and Mespoulet, M. (2003). L'Anarchie bureaucratique. Statistique et pouvoir sous Staline. Découverte, Paris.
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• Borel, E. (1897). Sur les séries de Taylor. Acta Math. 20 243--247. Reprinted in Borel (? 2 661--665.
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• Borel, E. (1898). Leçons sur la théorie des fonctions. Gauthier-Villars, Paris.
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• Borel, E. (1906). La valeur pratique du calcul des probabilités. La revue du mois 1 424--437. Reprinted in Borel (? 2 991--1004.
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• Borel, E. (1909b). Éléments de la théorie des probabilités. Gauthier-Villars, Paris. Third edition 1924. The 1950 edition was translated into English by J. E. Freund and published as Elements of the Theory of Probability by Prentice-Hall in 1965.
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• Borel, E. (1912). Notice sur les travaux scientifiques. Gauthier-Villars, Paris. Prepared by Borel to support his candidacy to the Académie des Sciences. Reprinted in Borel (? 1 119--190.
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• Borel, E. (1914). Le Hasard. Alcan, Paris. The first and second editions both appeared in 1914, with later editions in 1920, 1928, 1932, 1938 and 1948.
  Zentralblatt MATH: 45.1271.08
  
• Borel, E. (1930). Sur les probabilités universellement négligeables. C. R. Acad. Sci. Paris 190 537--540. Reprinted as Note IV of Borel (1939).
• Borel, E. (1939). Valeur pratique et philosophie des probabilités. Gauthier-Villars, Paris. Reprinted in 1991 by Éditions Jacques Gabay, Paris.
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• Bourbaki, N. (pseudonym) (1994). Elements of the History of Mathematics. Springer, Berlin. Translated from the 1984 French edition by J. Meldrum.
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• Broggi, U. (1907). Die Axiome der Wahrscheinlichkeitsrechnung. Ph.D. thesis, Universität Göttingen. Excerpts reprinted in Schneider (1988) 359--366.
• Bru, B. (2001). Émile Borel. In Statisticians of the Centuries (C. C. Heyde and E. Seneta, eds.) 287--291. Springer, New York.
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• Bru, B. (2003). Souvenirs de Bologne. Journal de la Société Française de Statistique 144 134--226. Special volume on history.
• Bruns, H. (1906). Wahrscheinlichkeitsrechnung und Kollektivmasslehre. Teubner, Leipzig and Berlin. Available at historical.library.cornell.edu.
• Buffon, G.-L. (1777). Essai d'arithmétique morale. In Supplément à l'Histoire naturelle 4 46--148. Imprimerie Royale, Paris.
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• Cantelli, F. P. (1916b). Sulla legge dei grandi numeri. Atti Reale Accademia Nazionale Lincei, Memorie Cl. Sc. Fis. 11 329--349. Reprinted in Cantelli (? 189--213.
• Cantelli, F. P. (1917). Sulla probabilità come limite della frequenza. Atti Reale Accademia Nazionale Lincei 26 39--45. Reprinted in Cantelli (? 214--221.
• Cantelli, F. P. (1932). Una teoria astratta del calcolo delle probabilità. Giornale dell'Istituto Italiano degli Attuari 3 257--265. Reprinted in Cantelli (? 289--297.
• Cantelli, F. P. (1935). Considérations sur la convergence dans le calcul des probabilités. Ann. Inst. H. Poincaré 5 3--50. Reprinted in Cantelli (? 322--372.
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• Cantelli, F. P. (1958). Alcune memorie matematiche. Giuffrè, Milan.
• Carathéodory, C. (1914). Über das lineare Mass von Punktmengen---eine Verallgemeinerung des Längenbegriffs. Nachr. Akad. Wiss. Göttingen Math.-Phys. II Kl. 4 404--426.
• Carathéodory, C. (1918). Vorlesungen über reelle Funktionen. Teubner, Leipzig and Berlin. Second edition 1927.
• Castelnuovo, G. (1919). Calcolo delle probabilitá. Albrighi e Segati, Milan, Rome, and Naples. Second edition in two volumes, 1926 and 1928. Third edition 1948.
• Chuprov, A. A. (1910).\textcyrOcherki po teorii statistiki (Essays on the Theory of Statistics), 2nd ed. Sabashnikov, St. Petersburg. The first edition appeared in 1909. The second edition was reprinted by the State Publishing House, Moscow, in 1959.
• Church, A. (1940). On the concept of a random sequence. Bull. Amer. Math. Soc. 46 130--135.
  Mathematical Reviews (MathSciNet): MR911
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• Cifarelli, D. M. and Regazzini, E. (1996). de Finetti's contribution to probability and statistics. Statist. Sci. 11 253--282.
  Mathematical Reviews (MathSciNet): MR1445983
  Digital Object Identifier: doi:10.1214/ss/1032280303
  Project Euclid: euclid.ss/1032280303
  Zentralblatt MATH: 0955.01552
  
• Copeland, A. H., Sr. (1932). The theory of probability from the point of view of admissible numbers. Ann. Math. Statist. 3 143--156.
• Cournot, A.-A. (1843). Exposition de la théorie des chances et des probabilités. Hachette, Paris. Reprinted in 1984 as Volume I (B. Bru, ed.) of Cournot (1973--1984).
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• Cournot, A.-A. (1973--1984). Œuvres complètes. Vrin, Paris. Ten volumes, with an eleventh to appear.
• Czuber, E. (1903). Wahrscheinlichkeitsrechnung und ihre Anwendung auf Fehlerausgleichung, Statistik und Lebensversicherung. Teubner, Leipzig. Second edition 1910, third 1914.
• d'Alembert, J. (1761). Réflexions sur le calcul des probabilités. Opuscules mathématiques 2 1--25.
• d'Alembert, J. (1767). Doutes et questions sur le calcul des probabilités. Mélanges de littérature, d'histoire, et de philosophie 5 275--304.
• Daniell, P. J. (1918). A general form of integral. Ann. of Math. (2) 19 279--294.
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  Digital Object Identifier: doi:10.2307/1967495
  JSTOR: links.jstor.org
  
• Daniell, P. J. (1919a). Integrals in an infinite number of dimensions. Ann. of Math. (2) 20 281--288.
  Mathematical Reviews (MathSciNet): MR1502563
  Digital Object Identifier: doi:10.2307/1967122
  JSTOR: links.jstor.org
  
• Daniell, P. J. (1919b). Functions of limited variation in an infinite number of dimensions. Ann. of Math. (2) 21 30--38.
  Mathematical Reviews (MathSciNet): MR1503526
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  JSTOR: links.jstor.org
  
• Daniell, P. J. (1920). Further properties of the general integral. Ann. of Math. (2) 21 203--220.
  Mathematical Reviews (MathSciNet): MR1503617
  Digital Object Identifier: doi:10.2307/2007258
  JSTOR: links.jstor.org
  
• Daniell, P. J. (1921). Integral products and probability. Amer. J. Math. (2) 43 143--162.
  Mathematical Reviews (MathSciNet): MR1506439
  Digital Object Identifier: doi:10.2307/2370323
  JSTOR: links.jstor.org
  
• Daston, L. (1979). d'Alembert's critique of probability theory. Historia Math. 6 259--279.
  Mathematical Reviews (MathSciNet): MR540919
  Digital Object Identifier: doi:10.1016/0315-0860(79)90125-3
  Zentralblatt MATH: 0422.01010
  
• Daston, L. (1994). How probabilities came to be objective and subjective. Historia Math. 21 330--344.
  Mathematical Reviews (MathSciNet): MR1295723
  Digital Object Identifier: doi:10.1006/hmat.1994.1028
  Zentralblatt MATH: 0805.01009
  
• de Finetti, B. (1930). A proposito dell'estensione del teorema delle probabilità totali alle classi numerabili. Rend. Reale Instituto Lombardo Sci. Lettere 63 901--905, 1063--1069.
• de Finetti, B. (1939). Compte rendu critique du colloque de Genève sur la théorie des probabilités. Actualités Scientifiques et Industrielles 766. Hermann, Paris. Number 766 is the eighth fascicle of Wavre (1938--1939).
• de Moivre, A. (1718). The Doctrine of Chances: Or, A Method of Calculating the Probability of Events in Play. Pearson, London. Second edition 1738, third 1756.
  Zentralblatt MATH: 0153.30801
  
• Dieudonné, J. (1948). Sur le théorème de Lebesgue--Nikodym. III. Ann. Univ. Grenoble 23 25--53.
  Mathematical Reviews (MathSciNet): MR28924
  
• Doob, J. L. (1953). Stochastic Processes. Wiley, New York.
  Mathematical Reviews (MathSciNet): MR58896
  Zentralblatt MATH: 0053.26802
  
• Doob, J. L. (1989). Kolmogorov's early work on convergence theory and foundations. Ann. Probab. 17 815--821.
  Mathematical Reviews (MathSciNet): MR1009435
  Digital Object Identifier: doi:10.1214/aop/1176991247
  Project Euclid: euclid.aop/1176991247
  Zentralblatt MATH: 0687.01008
  
• Doob, J. L. (1994). The development of rigor in mathematical probability, 1900--1950. In Pier (1994b) 157--170. Reprinted in Amer. Math. Monthly 103 (1996) 586--595.
  Mathematical Reviews (MathSciNet): MR1404084
  Digital Object Identifier: doi:10.2307/2974673
  JSTOR: links.jstor.org
  
• Dörge, K. (1930). Zu der von R. von Mises gegebenen Begründung der Wahrscheinlichkeitsrechnung. Math. Z. 32 232--258.
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• Ellis, R. L. (1849). On the foundations of the theory of probabilities. Trans. Cambridge Philos. Soc. 8 1--6. The paper was read on February 14, 1842. Part 1 of Volume 8 was published in 1843 or 1844, but Volume 8 was not completed until 1849.
• Faber, G. (1910). Über stetige Funktionen. II. Math. Ann. 69 372--443.
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• Fechner, G. T. (1897). Kollektivmasslehre. Engelmann, Leipzig. Edited by G. F. Lipps.
• Fréchet, M. (1915a). Définition de l'intégrale sur un ensemble abstrait. C. R. Acad. Sci. Paris 160 839--840.
• Fréchet, M. (1915b). Sur l'intégrale d'une fonctionnelle étendue à un ensemble abstrait. Bull. Soc. Math. France 43 248--265.
  Mathematical Reviews (MathSciNet): MR1504744
  
• Fréchet, M. (1930). Sur l'extension du théorème des probabilités totales au cas d'une suite infinie d'événements. Rend. Reale Instituto Lombardo Sci. Lettere 63 899--900, 1059--1062.
• Fréchet, M. (1937--1938). Recherches théoriques modernes sur la théorie des probabilités. Gauthier-Villars, Paris. This work was listed in the Grundbegriffe's bibliography as in preparation. It consists of two books, Fréchet (? and Fréchet (? The two books together constitute Fascicle 3 of Volume 1 of Émile Borel's Traité du calcul des probabilités et ses applications.
• Fréchet, M. (1937). Généralités sur les probabilités. Variables aléatoires. Gauthier-Villars, Paris. Second edition 1950. This is Book 1 of Fréchet (?
  Mathematical Reviews (MathSciNet): MR38581
  
• Fréchet, M. (1938a). Méthode des fonctions arbitraires. Théorie des événements en chaîne dans le cas d'un nombre fini d'états possibles. Gauthier-Villars, Paris. Second edition 1952. This is Book 2 of Fréchet (1937--1938).
• Fréchet, M. (1938b). Exposé et discussion de quelques recherches récentes sur les fondements du calcul des probabilités. Actualités Scientifiques et Industrielles 735 23--55. Hermann, Paris. In Wavre (1938--1939), second fascicle, entitled Les fondements du calcul des probabilités.
• Fréchet, M. (1951). Rapport général sur les travaux du Colloque de Calcul des Probabilités. In Bayer (? 3--21.
• Fréchet, M. and Halbwachs, M. (1924). Le calcul des probabilités à la portée de tous. Dunod, Paris.
• Gnedenko, B. V. and Kolmogorov, A. N. (1948).\textcyrTeoriya veroyatnosteĭ (Probability theory). In\textcyrMatematika v SSSR za tridcatp1 let 1917--1947 (Thirty Years of Soviet Mathematics 1917--1947) 701--727.\textcyrGostehizdat, Moscow and Leningrad. English translation in Sheynin (1998) 131--158.
• Gnedenko, B. V. and Kolmogorov, A. N. (1949).\textcyrPredelp1nye raspredeleniya dlya summ nezavisimyh sluchaĭnyh velichin. State Publishing House, Moscow. Translated into English by K. L. Chung and published in 1954 as Limit Distributions for Sums of Independent Random Variables, Addison--Wesley, Cambridge, MA, with an appendix by J. L. Doob.
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  Zentralblatt MATH: 0056.36001
  
• Haberman, S. J. (1996). Advanced Statistics 1. Description of Populations. Springer, New York.
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• Hadamard, J. (1922). Les principes du calcul des probabilités. Revue de métaphysique et de morale 39 289--293. A slightly longer version of this note, with the title ``Les axiomes du calcul des probabilités,'' was included in Oeuvres de Jacques Hadamard 4 2161--2162. Centre National de la Recherche Scientifique, Paris, 1968.
• Hausdorff, F. (1901). Beiträge zur Wahrscheinlichkeitsrechnung. Sitzungsber. Königlich Sächs. Gesellschaft Wiss. Leipz. Math.-Phys. Kl. 53 152--178.
• Hausdorff, F. (1914). Grundzüge der Mengenlehre. von Veit, Leipzig.
• Hawkins, T. (1975). Lebesgue's Theory of Integration: Its Origins and Development, 2nd ed. Chelsea, New York. First edition 1970, Univ. Wisconsin Press, Madison. The second edition differs only slightly from the first, but it corrects a consequential error on p. 104. Second edition reprinted in 1979 by Chelsea, New York, and then in 2001 by the American Mathematical Society, Providence, RI.
  Mathematical Reviews (MathSciNet): MR1857634
  Zentralblatt MATH: 0986.26002
  
• Helm, G. (1902). Die Wahrscheinlichkeitslehre als Theorie der Kollektivbegriffe. Annalen der Naturphilosophie 1 364--384.
• Hilbert, D. (1902). Mathematical problems. Bull. Amer. Math. Soc. 8 437--479. Hilbert's famous address to the International Congress of Mathematicians in Paris in 1900, in which he listed twenty-three open problems central to mathematics. Translated from the German by M. W. Newson.
  Mathematical Reviews (MathSciNet): MR1557926
  Digital Object Identifier: doi:10.1090/S0002-9904-1902-00923-3
  Zentralblatt MATH: 0979.01028
  
• Hochkirchen, T. (1999). Die Axiomatisierung der Wahrscheinlichkeitsrechnung und ihre Kontexte: Von Hilberts sechstem Problem zu Kolmogoroffs Grundbegriffen. Vandenhoeck and Ruprecht, Göttingen.
  Mathematical Reviews (MathSciNet): MR1738288
  Zentralblatt MATH: 0944.01007
  
• Holgate, P. (1997). Independent functions: Probability and analysis in Poland between the wars. Biometrika 84 161--173.
  Mathematical Reviews (MathSciNet): MR1766039
  Digital Object Identifier: doi:10.1093/biomet/84.1.159
  JSTOR: links.jstor.org
  
• Jeffreys, H. (1931). Scientific Inference. Cambridge Univ. Press. Second edition 1957, third 1973.
• Jessen, B. (1930). Über eine Lebesguesche Integrationstheorie für Funktionen unendlich vieler Veränderlichen. In Den Syvende Skandinaviske Mathatikerkongress I Oslo 19--22 August 1929 127--138. A. W. Brøggers Boktrykkeri, Oslo.
• Jessen, B. (1935). Some analytical problems relating to probability. J. Math. Phys. Mass. Inst. Tech. 14 24--27.
• Johnson, N. L. and Kotz, S., eds. (1997). Leading Personalities in Statistical Sciences. Wiley, New York.
  Mathematical Reviews (MathSciNet): MR1469759
  Zentralblatt MATH: 0878.01018
  
• Kahane, J.-P. (1994). Des séries de Taylor au mouvement brownien, avec un aperçu sur le retour. In Pier (1994b) 415--429.
  Mathematical Reviews (MathSciNet): MR1298638
  
• Kamlah, A. (1983). Probability as a quasi-theoretical concept--- J. V. Kries' sophisticated account after a century. Erkenntnis 19 239--251.
• Keynes, J. M. (1921). A Treatise on Probability. Macmillan, London.
  Zentralblatt MATH: 48.0615.08
  
• Khinchin, A. Ya. (1929).\textcyrUchenie Mizesa o veroyatnostyakh i printsipy fizicheskoĭ statistiki (Mises' work on probability and the principles of statistical physics).\textcyrUspekhi Fizicheskikh Nauk 9 141--166.
• Khinchin, A. Ya. (1961). On the Mises frequentist theory.\textcyrVoprosy filosofii (Questions of Philosophy) 15 (1, 2) 91--102, 77--89. Published after Khinchin's death by B. Gnedenko. English translation in Sheynin (1998) 99--137, reproduced with footnotes by R. Siegmund-Schultze in Science in Context 17 (2004) 391--422. We have seen only this English translation, not the original.
  Mathematical Reviews (MathSciNet): MR2106024
  
• Khinchin, A. Ya. and Kolmogorov, A. N. (1925). Über Konvergenz von Reihen, deren Glieder durch den Zufall bestimmt werden.\textcyrMatematicheskiĭ Sbornik (Sbornik: Mathematics) 32 668--677. Translated into Russian in Kolmogorov (1986) 7--16 and thence into English in Kolmogorov (1992) 1--10.
• Knobloch, E. (2001). Emile Borel's view of probability theory. In Probability Theory: Philosophy, Recent History and Relations to Science (V. F. Hendricks, S. A. Pedersen and K. F. Jørgensen, eds.) 71--95. Kluwer, Dordrecht.
  Mathematical Reviews (MathSciNet): MR1894709
  
• Kolmogorov, A. N. (1928). Über die Summen durch den Zufall bestimmter unabhängiger Grössen. Math. Ann. 99 309--319. An addendum appears in 1930: 102 484--488. The article and the addendum are translated into Russian in Kolmogorov (1986) 20--34 and thence into English in Kolmogorov (1992) 15--31.
  Mathematical Reviews (MathSciNet): MR1512451
  Digital Object Identifier: doi:10.1007/BF01459098
  
• Kolmogorov, A. N. (1929).\textcyrObshchaya teoriya mery i isqislenie veroyatnosteĭ (The General Theory of Measure and the calculus of probability). In\textcyrSbornik rabot Matematicheskogo Razdela, Kommunisticheskaya Akademiya, Sekciya Estestvennyh i Tochnyh Nauk (Collected Works of the Mathematical Section, Communist Academy, Section for Natural and Exact Sciences) 1 8--21. The Socialist Academy was founded in Moscow in 1918 and was renamed The Communist Academy in 1923 (Vucinich, ? The date 8 January 1927, which appears at the end of the article in the journal, was omitted when the article was reproduced in the second volume of Kolmogorov's collected works (Kolmogorov, 1986, 48--58). The English translation (Kolmogorov, 1992, 48--59) modernizes the article's terminology somewhat: $M$ becomes a ``measure'' instead of a ``measure specification.''
  Mathematical Reviews (MathSciNet): MR861120
  
• Kolmogorov, A. N. (1931). Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. Math. Ann. 104 415--458. Dated July 26, 1930. Translated into Russian in Kolmogorov (1986) 60--105 and thence into English in Kolmogorov (1992) 62--108.
  Mathematical Reviews (MathSciNet): MR1512678
  Digital Object Identifier: doi:10.1007/BF01457949
  
• Kolmogorov, A. N. (1933). Grundbegriffe der Wahrscheinlichkeitsrechnung. Springer, Berlin. A Russian translation by G. M. Bavli, appeared under the title\textcyrOsnovnye ponyatiya teorii veroyatnosteĭ (Nauka, Moscow) in 1936, with a second edition, slightly expanded by Kolmogorov with the assistance of A. N. Shiryaev, in 1974, and a third edition ($\!\!\!$\textcyrFAZIS, Moscow) in 1998. An English translation by N. Morrison appeared under the title Foundations of the Theory of Probability (Chelsea, New York) in 1950, with a second edition in 1956.
  Mathematical Reviews (MathSciNet): MR494348
  
• Kolmogorov, A. N. (1935).\textcyrO nekotoryh novyh techeniyah v teorii veroyatnosteĭ (On some modern currents in the theory of probability). In\textcyrTrudy 2-go Vsesoyuznogo Matematicheskogo Sp2ezda, Leningrad, 24--30 Iyunya 1934 g. (Proceedings of the 2nd All-Union Mathematical Congress, Leningrad, 24--30 June 1934) 1 (Plenary Sessions and Review Talks) 349--358. \textcyrIzdatelp1stvo AN SSSR, Leningrad and Moscow. English translation in Sheynin (? 165--173.
• Kolmogorov, A. N. (1939). Letter to Maurice Fréchet. Fonds Fréchet, Archives de l'Académie des Sciences, Paris.
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