Abstract
Of late, probability subjectivism was resuscitated by the development of statistical decision theory. In the decision model, which is briefly described in the paper, the knowledge of a probability distribution over the states of nature plays a decisive role. What sources of probability knowledge are legitimate, or at all possible, is the main point at issue. Different definitions, evaluations, and foundations of probability are narrated, discussed, and weighed against each other. The typical research strategy of the statistician is set against axiomatics of subjective or mathematical probability. Finally, the epistemological roots of the probability concept are located by the author in what he calls the “etiality principle”.
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References
Bayes, T., ‘An Essay Towards Solving a Problem in the Doctrine of Chances’, Philosophical Transactions 53 (1763) 376–398; 401–403.
Becker, G. M. and McClintock, C. G., ‘Value: Behavioral Decision Theory’, Annual Review of Psychology 18 (1967) 239–286.
Bernoulli, D., ‘Specimen Theoriae Novae de Mensura Sortis’, Commentarii Acad. Petrop. 5 (1730–31) 175–192.
Bernoulli, N., Dissertatio inauguralis mathematico-juridica de usu artis conjectandi in jure, quam ... ad diem 14 junii a.d. 1709 ... publice defendet M. Nicolaus Bernoulli, Basel.
Bernoulli, J., Ars conjectandi, Basel 1713. Deutsche Übersetzung: Wahrscheinlichkeitsrechnung (übers, v. R. Haussner), Leipzig 1899.
von Bortkiewicz, L., ‘Wahrscheinlichkeit und statistische Forschung nach Keynes’, Nordisk Statistisk Tidskrift 2 (1923) 1–23.
Carnap, R., Logical Foundations of Probability, Chicago 1950.
Cournot, A., Exposition de la théorie des chances et des probabilités, Paris 1843.
Ellis, R. L., On the Foundations of the Theory of Probability, Cambridge Phil. Soc. 1842.
de Finetti, B., ‘Foresight: Its Logical Laws, Its Subjective Sources’, Annales de l'Institut Henri Poincaré 7 (1937). Reprinted in Studies in Subjective Probability (ed. by H. E. Kyburg, Jr. and H. E. Smokler), New York-London-Sydney 1964, 93–158.
Friedman, M. and Savage, L. J., ‘The Utility Analysis of Choices Involving Risk’, Journal of Political Economy 56 (1948) 279–304.
Halphen, E., La notion de vraisemblance. Essai sur les fondements du calcul des probabilités et de la statistique mathématique, Publ. Inst. Statistique, Paris 1955.
Hartwig, H., Die stochastischen Grundbegriffe der Statistik, Dissertation Frankfurt am Main 1939.
Hartwig, H., ‘Naturwissenschaftliche und sozialwissenschaftliche Statistik’, Zeitschrift für die gesamte Staatswissenschaft 112 (1956) 252–266.
Keynes, J. M., A Treatise on Probability, London 1921.
Kolmogoroff, A. N., Grundbegriffe der Wahrscheinlichkeitsrechnung, Berlin 1933.
Koopman, B. O., ‘The Axioms and Algebra of Intuitive Probability’, Annals of Mathematics 41 (1940) 269–292.
von Kries, J., Die Principien der Wahrscheinlichkeitsrechnung, Freiburg i.B. 1886.
von Kries, J., ‘Über den Begriff der objektiven Möglichkeit und einige Anwendungen desselben’, Vierteljahresschrift für wissenschaftliche Philosophie 12 (1888).
von Kries, J., Logik, Tübingen 1916.
de Laplace, P. S., Théorie analytique des probabilités, Paris 1812.
de Laplace, P. S., Essai philosophique sur les probabilités, Paris 1814.
Leibniz, G. W., Gesammelte Werke (edited by Pertz and Gerhardt), Vol. 3, Halle 1855.
Luce, R. D. and Suppes, P., ‘Preference, Utility and Subjective Probability’, in Handbook of mathematical psychology (ed. by R. D. Luce, R. R. Bush, and E. Galanter), Vol. III, New York 1965.
von Meinong, A., Über Möglichkeit und Wahrscheinlichkeit, Leipzig 1915.
Menges, G., ‘Über Thomas Bayes (1702–1761) und das Theorem - Versuch einer Würdigung’, in Geschichte und Zukunft. Anton Hain zum 75. Geburtstag (ed. by A. Diemer), Meisenheim/Glan 1967, 485–498.
Menges, G., Grundmodelle wirtschaftlicher Entscheidungen, Köln-Opladen 1969.
von Mises, R., Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und theoretischen Physik, Leipzig-Wien 1931.
de Montmort, P. R., Essai d'analyse sur les jeux de hazard, Paris 1708.
Morlat, G., ‘L'incertitude et les probabilités’. Économie appliquée 13 (1960).
Mosteller, F. C. and Nogee, P., ‘An Experimental Measurement of Utility’, Journal of Political Economy 59 (1951) 371–404.
von Neumann, J. and Morgenstern, O., Theory of Games and Economic Behavior, 2nd ed., Princeton 1947.
Pfanzagl, J., Die axiomatischen Grundlagen einer allgemeinen Theorie des Messens, Würzburg 1959.
Preston, M. C. and Baratta, P., ‘An Experimental Study of Auction Value of an Uncertain Outcome’, American Journal of Psychology 61 (1948) 183–193.
Quetelet, L. A. J., Physique sociale, Paris 1869.
Ramsey, F. P., ‘Truth and Probability’ (1926), in The Foundations of Mathematics and Other Logical Essays, London-New York 1931.
Reichenbach, H., Wahrscheinlichkeitslehre, Leiden 1935.
Robbins, H., ‘The Empirical Bayes Approach to Statistical Decision Problems’, in The Annals of Mathematical Statistics 35 (1964) 1–20.
Savage, L. J., The Foundations of Statistics, New York-London 1954.
Savage, L. J., ‘Subjective Probability and Statistical Practice’, in The Foundations of Statistical Inference (ed. by M. S. Bartlett), London-New York 1962, 9–35.
Savage, L. J., ‘The Foundations of Statistics Reconsidered’, in Studies in Subjective Probability (ed. by H. E. Kyburg Jr. and H. E. Smokler), New York-London-Sydney 1964, 175–188.
Stumpf, C., ‘Über den Begriff der mathematischen Wahrscheinlichkeit’, in Sitzungsberichte der philosophisch-philologischen und historischen Klasse der königlichen bayrischen Akademie der Wissenschaften zu München, Jahrgang 1892, München 1893.
Venn, J., The Logic of Chance, London 1866.
Wald, A., Statistical Decision Functions, New York-London 1950.
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Menges, G. On subjective probability and related problems. Theor Decis 1, 40–60 (1970). https://doi.org/10.1007/BF00132452
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DOI: https://doi.org/10.1007/BF00132452