Abstract
The usual meaning of ‘probable’ in ordinary conversation is closely related to its derivation from a Latin word meaning provable or capable of being made convincing. The concept is even clearer in the derivation of the German word Wahrscheinlichkeit, ‘having the appearance of truth’. In fact, when we say an event is probable we usually mean that we would not be surprised (or we ought not to be) if it occurred, or that we would be somewhat surprised (or ought to be) if did not occur. Since ‘surprise’ refers to a personal or subjective experience it seems clear that the ordinary concept of probability is subjectivistic (or else in some sense logical). Also a probability, in this subjective or logical sense, can be more or less large so it can be interpreted as a degree of belief or a rational degree of belief or intensity of conviction. A subjective probability is usually regarded as somewhat more than just a degree of belief – it is a degree of belief that belongs to a body of beliefs from which the worst inconsistencies have been removed by means of detached judgements. In short, the degree of belief should be more or less rational.
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Bibliography
For an article covering somewhat similar ground to the present one see Good (1982a). On some points it says more and on some less.
For books giving applications of subjective or logical probability in statistics see, for example, Jeffreys (1939–1961), Lindley (1965), Zellner (1971, 1980), De Groot (1970), Box and Tiao (1973), Rosenkratz (1977), Good (1965, 1983a), and Berger (1985).
Bayes, T. 1763. An essay toward solving a problem in the doctrine of chances (with discussion and a foreword by Richard Price). Philosophical Transactions of the Royal Society 53: 370–418; 54: 295–325. Reprinted by the Graduate School, US Department of Agriculture, Washington, DC (1940); and in Biometrika 45 (1958), 293–315.
Berger, J.O. 1984. The robust Bayesian viewpoint. In Robustness of Bayesian analysis, ed. J.B. Kadane, 64–144. Amsterdam: North-Holland.
Berger, J.O. 1985. Statistical decision theory and Bayesian analysis, 2nd ed. New York: Springer.
Bernardo, J.M., M.H. De Groot, D.V. Lindley, and A.F.M. Smith (eds.). 1983–1985. Bayesian Statistics 2: Proceedings of the second Valencia international meeting. September 6–10, 1983. Amsterdam: North-Holland.
Box, G.E.P., and G.C. Tiao. 1973. Bayesian inference in statistical analysis. Reading, MA: Addison-Wesley.
Carnap, R. 1952. The continuum of inductive methods. Chicago: University of Chicago Press.
Cox, R.T. 1946. Probability, frequency and reasonable expectation. American Journal of Physics 14: 1–13.
Cox, R.T. 1961. The algebra of probable inference. Baltimore: Johns Hopkins University Press.
de Finetti, B. 1937. La prévision: ses lois logiques, ses sources subjectives. Annales de l’Institut Henri Poincaré 7: 1–68. Translated in Kyburg and Smokler (1980).
de Finetti, B. 1968–1970. Initial probabilities: A prerequisite for any valid induction. Synthese 20, 1969, 2–24 (with discussion). In Induction, physics and ethics: Proceedings and discussions of the 1968 Salzburg Colloquium in the Philosophy of Science, ed. P. Weingartner and G. Zechs. Dordrecht: D. Reidel, 1970.
De Groot, M.H. 1970. Optimal statistical decisions. New York: McGraw-Hill.
Geisser, S. 1983–1985. On the prediction of observables: A selective update, in Bernardo et al. (1983–1985), 203–229 (with discussion).
Good, I.J. 1950. Probability and the weighing of evidence. London/New York: Charles Griffin/Hafners.
Good, I.J. 1952. Rational decisions. Journal of the Royal Statistical Society B 14: 107–114. Reprinted in Good (1983a).
Good, I.J. 1953–1957. The appropriate mathematical tools for describing and measuring uncertainty. In Uncertainty and business decisions, ed. C.F. Carter, G.P. Meredith, and G.L.S. Shackle, 20–36. Liverpool: Liverpool University Press. Partly reprinted in Good (1983a).
Good, I.J. 1960–1962. Subjective probability as the measure of a non-measurable set. In Logic, methodology, and philosophy of science, ed. E. Nagel, P. Suppes, and A. Tarski, 319–329. Stanford: Stanford University Press. Reprinted in Kyburg and Smokler (1980) and in Good (1983a).
Good, I.J. 1965. The estimation of probabilities: An essay on modern Bayesian methods. Cambridge, MA: MIT Press.
Good, I.J. 1966. How to estimate probabilities. Journal of the Institute of Mathematics and its Applications 2: 364–383.
Good, I.J. 1968. Corroboration, explanation, evolving probability, simplicity, and a sharpened razor. British Journal for the Philosophy of Science 19: 123–143.
Good, I.J. 1977. Dynamic probability, computer chess, and the measurement of knowledge. In Machine intelligence, vol. 8, ed. E.W. Elcock and D. Michie, 139–150. Chichester: Ellis Horwood. Reprinted in Good (1983a).
Good, I.J. 1979–1981. Some history of the hierarchical Bayesian methodology. In Bayesian Statistics: Proceedings of the First International Meeting held in Valencia (Spain), May 28–June 2, 1979, ed. J.M. Bernardo, M.H. De Groot, D.V. Lindley, and A.F.M. Smith, University of Valencia, 1981, 489–510 and 512–519 (with discussion).
Good, I.J. 1981–1983. The robustness of a hierarchical model for multinomials and contingency tables. In Scientific inference, data analysis, and robustness, ed. G.E.P. Box, Tom Leonard, and Chien-Fu Wu, New York: Academic Press.
Good, I.J. 1982a. Degrees of belief. In Encyclopedia of statistical sciences, vol. 2, ed. S. Kotz and N.L. Johnson, 287–293. New York: Wiley.
Good, I.J. 1982b. Standardized tail-area probabilities. Journal of Statistical Computation and Simulation 16: 65–66.
Good, I.J. 1983a. Good thinking: The foundations of probability and its applications. Minneapolis: University of Minnesota Press.
Good, I.J. 1983b. The philosophy of exploratory data analysis. Philosophy of Science 50: 283–295.
Good, I.J. 1983c. A correction concerning my interpretation of Peirce, and the Bayesian interpretation of Neyman–Pearson ‘hypothesis determination. Journal of Statistical Computation and Simulation 18: 71–74.
Good, I.J. 1983d. The diminishing significance of a fixed P-value as the sample size increases: A discrete model. Journal of Statistical Computation and Simulation 16: 312–314.
Good, I.J. 1984. The best explicatum for weight of evidence. Journal of Statistical Computation and Simulation 19: 294–299.
Good, I.J. 1985a. Weight of evidence: A brief survey. In Bernardo et al. 1983–85, 249–269 (with discussion).
Good, I.J. 1985b. A historical comment concerning novel confirmation. British Journal for the Philosophy of Science 36: 184–185.
Good, I.J. 1986a. Statistical evidence. In Encyclopedia of statistical sciences, vol. 8, ed. S. Kotz, N.L. Johnson, and C. Read. New York: Wiley.
Good, I.J. 1986b. Surprise index. In Encyclopedia of statistical sciences, vol. 9, ed. S. Kotz, N.L. Johnson, and C. Read. New York: Wiley.
Haldane, J.B.S. 1931. A note on inverse probability. Proceedings of the Cambridge Philosophical Society 28: 55–61.
Hardy, G.F. 1889. In correspondence in Insurance Record, reprinted in Transactions of the Faculty of Actuaries 8, (1920), 174–182, esp. 181.
Hogarth, R.M. 1975. Cognitive processes and the assessment of subjective probability distributions. Journal of the American Statistical Association 70: 271–294.
Jeffreys, H. 1926. Further significance tests. Proceedings of the Cambridge Philosophical Society 32: 416–445.
Jeffreys, H. 1957. Scientific inference, 2nd ed. Cambridge: Cambridge University Press.
Jeffreys, H. 1961. Theory of probability. Oxford: Clarendon Press.
Johnson, W.E. 1932. Appendix (ed. R.B. Braithwaite) to ‘Probability: Deductive and inductive problems’. Mind 41: 421–423.
Keynes, J.M. 1921. A treatise on probability. London: Macmillan.
Koopman, B.O. 1940a. The basis of probability. Bulletin of the American Mathematical Society 46: 763–774.
Koopman, B.O. 1940b. The axioms and algebra of intuitive probability. Annals of Mathematics 41: 269–292.
Kyburg, H.E., and H.E. Smokler (eds.). 1980. Studies in subjective probability, 2nd ed. Huntington/New York: Robert E. Krieger (1st ed, New York: Wiley, 1964).
Lindley, D.V. 1965. Introduction to probability and statistics, vol. 2. Cambridge: Cambridge University Press.
Novick, M.R., and P.H. Jackson. 1974. Statistical methods for educational and psychological research. New York: McGraw-Hill.
Pearson, K. 1892. The grammar of science. Reprinted, London: J.M. Dent & Sons, 1937.
Pearson, K. 1899. Theory of genetic (reproductive) selection. Philosophical Transactions of the Royal Society of London (A) 192: 260–278, esp. 277–278, ‘On the spurious correlation produced by forming a mixture of heterogeneous but uncorrelated materials’.
Peirce, C.S. 1878. The probability of induction. Popular Science Monthly. Reprinted in The world of mathematics, vol. 2, ed. James R. Newman. New York: Simon & Schuster, 1956, 1341–1354.
Poisson, S.-D. 1837. Recherches sur la probabilité des jugements en matière criminelle et en matière civile. Paris: Bachelier.
Ramsey, F.P. 1926. Truth and probability. In The foundations of mathematics and other logical essays. London/New York: Kegan Paul/Harcourt, Brace & Co. Reprinted in Kyburg and Smokler (1980).
Rosenkrantz, R.D. 1977. Inference, method and decision. Dordrecht: Reidel.
Savage, L.J. 1954. The foundations of statistics. New York: Wiley.
Schroedinger, E. 1947. The foundation of probability. Proceedings of the Royal Irish Academy 51A: 51–66 and 141–146.
Shackle, G.L.S. 1949. Expectation in economics. Cambridge: Cambridge University Press.
Smith, C.A.B.. 1961. Consistency in statistical inference and decision. Journal of the Royal Statistical Society, Series B 23: 1–37 (with discussion).
Weaver, W. 1948. Probability, rarity, interest and surprise. Scientific Monthly 67: 390–392.
Yule, G.U. 1903. Notes on the theory of association of attributes in statistics. Biometrika 2: 121–134. Reprinted in Statistical papers of George Udny Yule, ed. A. Stuart and M.G. Kendall. London: Griffin, 1971, 71–84.
Zellner, A. 1971. An introduction to Bayesian inference in econometrics. New York: Wiley.
Zellner, A. (ed.). 1980. Bayesian analysis in econometrics and statistics: Essays in honor of Harold Jeffreys. Amsterdam: North-Holland.
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Good, I.J. (2018). Subjective Probability. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_1625
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