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xii 6. CARDANO, The Book on Games of Chance, trad. S. H. Gould, New York, 1961. 7. DASTON, L., Probability in the Enlightenment, Princeton, 1988. 8. DAVID, F. N., Games, Gods and Gambling, A History of Probability and Statistical Ideas, London, Charles Griffin & Co, 1962. 9. ABOUT, P.J., BOY, M., «La correspondance de Blaise Pascal et de Pierre de Fermat», Cahiers de Fontenay, n° 32, p. 59-73. 10. DAVIDSON, H. M., Pascal and the Arts of the Mind, Cambridge, Cambridge University Press, 1993. 11. EDWARDS, A. W. F., «Pascal and the Problem of Points», International Statistical Review, t. 51, 1983, p. 259-266. 12. EDWARDS, A. W. F., «Pascal's Problem: The Gambler's Ruin», International Statistical Review, t. 50, 1982, p. 73-79. 13. GODFROY-GÉNIN A.S., Pascal la Géométrie du Hasard, Math. & Sci. hum., (38e année, n° 150, 2000, p. 7-39 14. ORE, O., Cardano, the gambling scholar, Princeton, 1953. 15. «Pascal et les probabilités», Cahiers Pédagogiques de philosophie et d'histoire des mathématiques, fascicule 4, IREM et CRDP de Rouen, 1993. 16. TODHUNTER, I., A History of Mathematical Theory of Probability from the Time of Pascal to that of Laplace, Cambridge et Londres, Macmillan, 1865. 17. PASCAL, B., Les Provinciales, Paris, Le Guern éd., 1987. 18. PASCAL, B., Oeuvres complètes, J. Mesnard éd., 4 volumes publiés, 1964-1970. 19. PASCAL, B., Pensées de Pascal, Paris, Ph. Sellier éd., 1991. 20. HACKING, I., The Emergence of Probability, Cambridge, 1975. 21. KENDALL, M. G., PEARSON, E. S., (eds.)., Studies in the History of Statistics and Probability, 2 vols., London, 1970-1977. 22. PEARSON, K., The History of Statistics in the 17th and 18th Centuries, London, E.S. Pearson, ed., 1978. 23. BARBARESCO, F., “Les densités de probabilité « distinguées » et l’équation d’Alexis Clairaut: regards croisés de Maurice Fréchet et de Jean Louis Koszul », Colloque GRETSI’17, Juan-Les-Pins- September 2017 24. FRECHET M., Sur l’extension de certaines évaluations statistiques au cas de petits échantillons. Revue de l’Institut International de Statistique 1943, vol. 11, n° 3/4, pp. 182–205. 25. DE MOIVRE, A., The Doctrine of Chances, 3rd edition, London, 1756. 26. LEIBNIZ, G. W., «Nouveaux essais sur l'entendement humain», Sämtliche Schriften und Briefe, Berlin, 1962-1980, réed. Garnier-Flammarion, 1966. 27. LEIBNIZ, G. W., Opuscules et fragments inédits, Couturat, ed., Paris, 1961. 28. SCHNEIDER, I., «Why do we find the origin of a calculus of probabilities in the seventeenth century ?», Pisa Conference Proceedings, vol. 2, Dordrecht and Boston, J.Hintikka, D. Gruender, E. Agazzi eds., 1980. 29. SCHNEIDER, I., Die Entwicklung des Wahrscheinlichkeitsbegriff in des Mathematik von Pascal bis Laplace, Munich, 1972. 30. SHEYNIN, O., «On the early history of the law of large numbers», Studies in the History of Statistics and Probability, vol. 1, Paerson and Kendall eds., 1970. 31. SHEYNIN, O., «On the prehistory of the theory of probability», Archives for History of Exact Sciences 12, 1974. 32. STIGLER, S., The History of Statistics: The measurement of Uncertainety Before 1900, Cambridge (Mass.), The Belknap Press of Harvard University Press, 1986.
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Differential Geometrical Theory of Statistics
Title
Differential Geometrical Theory of Statistics
Authors
Frédéric Barbaresco
Frank Nielsen
Editor
MDPI
Location
Basel
Date
2017
Language
English
License
CC BY-NC-ND 4.0
ISBN
978-3-03842-425-3
Size
17.0 x 24.4 cm
Pages
476
Keywords
Entropy, Coding Theory, Maximum entropy, Information geometry, Computational Information Geometry, Hessian Geometry, Divergence Geometry, Information topology, Cohomology, Shape Space, Statistical physics, Thermodynamics
Categories
Naturwissenschaften Physik
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