Linked bibliography for the SEP article "Philosophy of Statistics" by Jan-Willem Romeijn
This is an automatically generated and experimental page
If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.
- Aldous, D.J., 1981, “Representations for Partially Exchangeable Arrays of Random Variables”, Journal of Multivariate Analysis, 11: 581–598. (Scholar)
- Armendt, B., 1993, “Dutch books, Additivity, and Utility Theory”, Philosophical Topics, 21:1–20. (Scholar)
- Auxier, R.E., and L.E. Hahn (eds.), 2006, The Philosophy of Jaako Hintikka, Chicago: Open Court. (Scholar)
- Balasubramanian, V., 2005, “MDL, Bayesian inference, and the geometry of the space of probability distributions”, in: Advances in Minimum Description Length: Theory and Applications, P.J. Grunwald et al (eds.), Boston: MIT Press, 81–99. (Scholar)
- Bandyopadhyay, P., and Forster, M. (eds.), 2011, Handbook for the Philosophy of Science: Philosophy of Statistics, Elsevier. (Scholar)
- Barnett, V., 1999, Comparative Statistical Inference, Wiley Series in Probability and Statistics, New York: Wiley. (Scholar)
- Bartholomew, D.J., F. Steele, J. Galbraith, I. Moustaki, 2008, Analysis of Multivariate Social Science Data, Statistics in the Social and Behavioral Sciences Series, London: Taylor and Francis, 2nd edition. (Scholar)
- Berger, J. 2006, “The Case for Objective Bayesian Analysis”, Bayesian Analysis, 1(3): 385–402. (Scholar)
- Berger, J.O., J.M. Bernardo, and D. Sun, 2009, “The formal definition of reference priors”, Annals of Statistics, 37(2): 905–938. (Scholar)
- Berger, J.O., and R.L. Wolpert, 1984, The Likelihood Principle. Hayward (CA): Institute of Mathematical Statistics. (Scholar)
- Berger, J.O. and T. Sellke, 1987, “Testing a point null hypothesis: The irreconciliability of P-values and evidence”, Journal of the American Statistical Association, 82: 112–139. (Scholar)
- Bernardo, J.M. and A.F.M. Smith, 1994, Bayesian Theory, New York: John Wiley. (Scholar)
- Bigelow, J. C., 1977, “Semantics of probability”, Synthese, 36(4): 459–72. (Scholar)
- Billingsley, P., 1995, Probability and Measure, Wiley Series in Probability and Statistics, New York: Wiley, 3rd edition. (Scholar)
- Birnbaum, A., 1962, “On the Foundations of Statistical Inference”, Journal of the American Statistical Association, 57: 269–306. (Scholar)
- Blackwell, D. and L. Dubins, 1962, “Merging of Opinions with Increasing Information”, Annals of Mathematical Statistics, 33(3): 882–886. (Scholar)
- Boole, G., 1854, An Investigation of The Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, London: Macmillan, reprinted 1958, London: Dover. (Scholar)
- Burnham, K.P. and D.R. Anderson, 2002, Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach, New York: Springer, 2nd edition. (Scholar)
- Carnap, R., 1950, Logical Foundations of Probability, Chicago: The University of Chicago Press. (Scholar)
- –––, 1952, The Continuum of Inductive Methods, Chicago: University of Chicago Press. (Scholar)
- Carnap, R. and Jeffrey, R.C. (eds.), 1970, Studies in Inductive Logic and Probability, Volume I, Berkeley: University of California Press. (Scholar)
- Casella, G., and R. L. Berger, 1987, “Reconciling Bayesian and Frequentist Evidence in the One-Sided Testing Problem”, Journal of the American Statistical Association, 82: 106–111. (Scholar)
- Claeskens, G. and N. L. Hjort, 2008, Model selection and model averaging, Cambridge: Cambridge University Press. (Scholar)
- Cohen, J., 1994, “The Earth is Round (p < .05)”, American Psychologist, 49: 997–1001. (Scholar)
- Cox, R.T., 1961, The Algebra of Probable Inference, Baltimore: John Hopkins University Press. (Scholar)
- Cumming, G., 2012, Understanding The New Statistics: Effect Sizes, Confidence Intervals, and Meta-Analysis, New York: Routledge. (Scholar)
- Dawid, A.P., 1982, “The Well-Calibrated Bayesian”, Journal of the American Statistical Association, 77(379): 605–610. (Scholar)
- –––, 2004, “Probability, causality and the empirical world: A Bayes-de Finetti-Popper-Borel synthesis”, Statistical Science, 19: 44–57. (Scholar)
- Dawid, A.P. and P. Grunwald, 2004, “Game theory, maximum entropy, minimum discrepancy, and robust Bayesian decision theory”, Annals of Statistics, 32: 1367–1433. (Scholar)
- Dawid, A.P. and M. Stone, 1982, “The functional-model basis of fiducial inference”, Annals of Statistics, 10: 1054–1067. (Scholar)
- De Finetti, B., 1937, “La Prévision: ses lois logiques, ses sources subjectives”, Annales de l'Institut Henri Poincaré, reprinted as “Foresight: its Logical Laws, Its Subjective Sources”, in: Kyburg, H. E. and H. E. Smokler (eds.), Studies in Subjective Probability, 1964, New York: Wiley. (Scholar)
- –––, 1974, Theory of Probability, Volumes I and II, New York: Wiley, translation by A. Machi and A.F.M. Smith. (Scholar)
- De Morgan, A., 1847, Formal Logic or The Calculus of Inference, London: Taylor & Walton, reprinted by London: Open Court, 1926. (Scholar)
- Dempster, A.P., 1964, “On the Difficulties Inherent in Fisher's Fiducial Argument”, Journal of the American Statistical Association, 59: 56–66. (Scholar)
- –––, 1966, “New Methods for Reasoning Towards Posterior Distributions Based on Sample Data”, Annals of Mathematics and Statistics, 37(2): 355–374. (Scholar)
- –––, 1967, “Upper and lower probabilities induced by a multivalued mapping”, The Annals of Mathematical Statistics, 38(2): 325–339. (Scholar)
- –––, 1968, “A generalization of Bayesian inference”, Journal of the Royal Statistical Society, Series B, Vol. 30: 205–247. (Scholar)
- Diaconis, P., and D. Freedman, 1980, “De Finetti’s theorem for Markov chains”, Annals of Probability, 8: 115–130. (Scholar)
- Eagle, A. (ed.), 2010, Philosophy of Probability: Contemporary Readings, London: Routledge. (Scholar)
- Earman, J., 1992, Bayes or Bust? A Critical Examination of Bayesian Confirmation Theory, Cambridge (MA): MIT Press. (Scholar)
- Easwaran, K., 2013, “Expected Accuracy Supports Conditionalization - and Conglomerability and Reflection”, Philosophy of Science, 80(1): 119–142. (Scholar)
- Edwards, A.W.F., 1972, Likelihood, Cambridge: Cambridge University Press. (Scholar)
- Efron, B. and R. Tibshirani, R., 1993, An Introduction to the Bootstrap, Boca Raton (FL): Chapman & Hall/CRC. (Scholar)
- Festa, R., 1993, Optimum Inductive Methods, Dordrecht: Kluwer. (Scholar)
- –––, 1996, “Analogy and exchangeability in predictive inferences”, Erkenntnis, 45: 89–112. (Scholar)
- Fisher, R.A., 1925, Statistical Methods for Research Workers, Edinburgh: Oliver and Boyd. (Scholar)
- –––, 1930, “Inverse probability”, Proceedings of the Cambridge Philosophical Society, 26: 528–535. (Scholar)
- –––, 1933, “The concepts of inverse probability and fiducial probability referring to unknown parameters”, Proceedings of the Royal Society, Series A, 139: 343–348. (Scholar)
- –––, 1935a, “The logic of inductive inference”, Journal of the Royal Statistical Society, 98: 39–82. (Scholar)
- –––, 1935b, The Design of Experiments, Edinburgh: Oliver and Boyd. (Scholar)
- –––, 1935c, “The fiducial argument in statistical inference”, Annals of Eugenics, 6: 317–324. (Scholar)
- –––, 1955, “Statistical Methods and Scientific Induction”, Journal of the Royal Statistical Society, B 17: 69–78. (Scholar)
- –––, 1956, Statistical Methods and Scientific Inference, New York: Hafner, 3rd edition 1973. (Scholar)
- Fitelson, B., 2007, “Likelihoodism, Bayesianism, and relational confirmation”, Synthese, 156(3): 473–489. (Scholar)
- Forster, M. and E. Sober, 1994, “How to Tell when Simpler, More Unified, or Less Ad Hoc Theories will Provide More Accurate Predictions”, British Journal for the Philosophy of Science, 45: 1–35. (Scholar)
- Fraassen, B. van, 1989, Laws and Symmetry, Oxford: Clarendon Press. (Scholar)
- Gaifman, H. and M. Snir, 1982, “Probabilities over Rich Languages”, Journal of Symbolic Logic, 47: 495–548. (Scholar)
- Galavotti, M. C., 2005, Philosophical Introduction to Probability, Stanford: CSLI Publications. (Scholar)
- Gelman, A., J. Carlin, H. Stern, D. Dunson, A. Vehtari, and D. Rubin, 2013, Bayesian Data Analysis, revised edition, New York: Chapman & Hall/CRC. (Scholar)
- Gelman, A., and C. Shalizi, 2013, “Philosophy and the practice of Bayesian statistics (with discussion)”, British Journal of Mathematical and Statistical Psychology, 66: 8–18. (Scholar)
- Giere, R. N., 1976, “A Laplacean Formal Semantics for Single-Case Propensities”, Journal of Philosophical Logic, 5(3): 321–353. (Scholar)
- Gillies, D., 1971, “A Falsifying Rule for Probability Statements”, British Journal for the Philosophy of Science, 22: 231–261. (Scholar)
- –––, 2000, Philosophical Theories of Probability, London: Routledge. (Scholar)
- Goldstein, M., 2006, “Subjective Bayesian analysis: principles and practice”, Bayesian Analysis, 1(3): 403–420. (Scholar)
- Good, I.J., 1983, Good Thinking: The Foundations of Probability and Its Applications, University of Minnesota Press, reprinted London: Dover, 2009. (Scholar)
- –––, 1988, “The Interface Between Statistics and Philosophy of Science”, Statistical Science, 3(4): 386–397. (Scholar)
- Goodman, N., 1965, Fact, Fiction and Forecast, Indianapolis: Bobbs-Merrill. (Scholar)
- Greaves, H. and D. Wallace, 2006, “Justifying Conditionalization: Conditionalization Maximizes Expected Epistemic Utility”, Mind, 115(459): 607–632. (Scholar)
- Greco, D., 2011, “Significance Testing in Theory and Practice”, British Journal for the Philosophy of Science, 62: 607–37. (Scholar)
- Grünwald, P.D., 2007, The Minimum Description Length Principle, Boston: MIT Press. (Scholar)
- Hacking, I.,1965, The Logic of Statistical Inference, Cambridge: Cambridge University Press. (Scholar)
- Haenni, R., Romeijn, J.-W., Wheeler, G., Andrews, J., 2011, Probabilistic Logics and Probabilistic Networks, Berlin: Springer. (Scholar)
- Hailperin, T., 1996, Sentential Probability Logic, Lehigh University Press. (Scholar)
- Hájek, A., 2007, “The reference class problem is your problem too”, Synthese, 156: 563–585. (Scholar)
- Hajek, A. and C. Hitchcock (eds.), 2013, Oxford Handbook of Probability and Philosophy, Oxford: Oxford University Press. (Scholar)
- Halpern, J.Y., 2003, Reasoning about Uncertainty, MIT press. (Scholar)
- Handfield, T., 2012, A Philosophical Guide to Chance: Physical Probability, Cambridge: Cambridge University Press. (Scholar)
- Harlow, L.L., S.A. Mulaik, and J.H. Steiger, (eds.), 1997, What if there were no significance tests?, Mahwah (NJ): Erlbaum. (Scholar)
- Henderson, L., N.D. Goodman, J.B. Tenenbaum, and J.F. Woodward, 2010, “The Structure and Dynamics of Scientific Theories: A Hierarchical Bayesian Perspective”, Philosophy of Science, 77(2): 172–200. (Scholar)
- Hjort, N., C. Holmes, P. Mueller, and S. Walker (eds.), 2010, Bayesian Nonparametrics, Cambridge Series in Statistical and Probabilistic Mathematics, nr. 28, Cambridge: Cambridge University Press. (Scholar)
- Howson, C., 2000, Hume's problem: induction and the justification of belief, Oxford: Oxford University Press. (Scholar)
- –––, 2003, “Probability and logic”, Journal of Applied Logic, 1(3–4): 151–165. (Scholar)
- –––, 2011, “Bayesianism as a pure logic of Inference”, in: Bandyopadhyay, P and Foster, M, (eds.), Philosophy of statistics, Handbook of the Philosophy of Science, Oxford: North Holland, 441–472. (Scholar)
- Howson, C. and P. Urbach, 2006, Scientific Reasoning: The Bayesian Approach, La Salle: Open Court, 3rd edition. (Scholar)
- Hintikka, J., 1970, “Unknown Probabilities, Bayesianism, and de Finetti's Representation Theorem”, in Proceedings of the Biennial Meeting of the Philosophy of Science Association, Vol. 1970, Boston: Springer, 325–341. (Scholar)
- Hintikka, J. and I. Niiniluoto, 1980, “An axiomatic foundation for the logic of inductive generalization”, in R.C. Jeffrey (ed.), Studies in Inductive Logic and Probability, volume II, Berkeley: University of California Press, 157–181. (Scholar)
- Hintikka J. and P. Suppes (eds.), 1966, Aspects of Inductive Logic, Amsterdam: North-Holland. (Scholar)
- Hume, D., 1739, A Treatise of Human Nature, available online. (Scholar)
- Jaynes, E.T., 1973, “The Well-Posed Problem”, Foundations of Physics, 3: 477–493. (Scholar)
- –––, 2003, Probability Theory: The Logic of Science, Cambridge: Cambridge University Press. first 3 chapters available online. (Scholar)
- Jeffrey, R., 1992, Probability and the Art of Judgment, Cambridge: Cambridge University Press. (Scholar)
- Jeffreys, H., 1961, Theory of Probability, Oxford: Clarendon Press, 3rd edition. (Scholar)
- Jolliffe, I.T., 2002, Principal Component Analysis, New York: Springer, 2nd edition. (Scholar)
- Kadane, J.B., 2011, Principles of Uncertainty, London: Chapman and Hall. (Scholar)
- Kadane, J.B., M.J. Schervish, and T. Seidenfeld, 1996, “When Several Bayesians Agree That There Will Be No Reasoning to a Foregone Conclusion”, Philosophy of Science, 63: S281-S289. (Scholar)
- –––, 1996, “Reasoning to a Foregone Conclusion”, Journal of the American Statistical Association, 91(435): 1228–1235. (Scholar)
- Kass, R. and A. Raftery, 1995, “Bayes Factors”, Journal of the American Statistical Association, 90: 773–790. (Scholar)
- Kelly, K., 1996, The Logic of Reliable Inquiry, Oxford: Oxford University Press. (Scholar)
- Kelly, K., O. Schulte, and C. Juhl, 1997, “Learning Theory and the Philosophy of Science”, Philosophy of Science, 64: 245–67. (Scholar)
- Keynes, J.M., 1921, A Treatise on Probability, London: Macmillan. (Scholar)
- Kieseppä, I. A., 1997, “Akaike Information Criterion, Curve-Fitting, and the Philosophical Problem of Simplicity”, British Journal for the Philosophy of Science, 48(1): 21–48. (Scholar)
- –––, 2001, “Statistical Model Selection Criteria and the Philosophical Problem of Underdetermination”, British Journal for the Philosophy of Science, 52(4): 761–794. (Scholar)
- Kingman, J.F.C., 1975, “Random discrete distributions”, Journal of the Royal Statistical Society, 37: 1–22. (Scholar)
- –––, 1978, “Uses of exchangeability”, Annals of Probability, 6(2): 183–197. (Scholar)
- Kolmogorov, A.N., 1933, Grundbegriffe der Wahrscheinlichkeitsrechnung, Berlin: Julius Springer. (Scholar)
- Krantz, D. H., R. D. Luce, A. Tversky and P. Suppes, 1971, Foundations of Measurement, Volumes I and II. Mineola: Dover Publications. (Scholar)
- Kuipers, T.A.F., 1978, Studies in Inductive Probability and Rational Expectation, Dordrecht: Reidel. (Scholar)
- –––, 1986, “Some estimates of the optimum inductive method”, Erkenntnis, 24: 37–46. (Scholar)
- Kyburg, Jr., H.E., 1961, Probability and the Logic of Rational Belief, Middletown (CT): Wesleyan University Press. (Scholar)
- Kyburg, H.E. Jr. and C.M. Teng, 2001, Uncertain Inference, Cambridge: Cambridge University Press. (Scholar)
- van Lambalgen, M., 1987, Random sequences, Ph.D. dissertation, Department of Mathematics and Computer Science, University of Amsterdam, available online. (Scholar)
- Leitgeb, H. and Pettigrew, R., 2010a, “An Objective Justification of Bayesianism I: Measuring Inaccuracy”, Philosophy of Science, 77(2): 201–235. (Scholar)
- –––, 2010b, “An Objective Justification of Bayesianism II: The Consequences of Minimizing Inaccuracy”, Philosophy of Science, 77(2): 236–272. (Scholar)
- Levi, I., 1980, The enterprise of knowledge: an essay on knowledge, credal probability, and chance, Cambridge MA: MIT Press. (Scholar)
- Lindley, D.V., 1957, “A statistical paradox”, Biometrika, 44: 187–192.
- –––, 1965, Introduction to Probability and Statistics from a Bayesian Viewpoint, Vols. I and II, Cambridge: Cambridge University Press. (Scholar)
- –––, 2000, “The Philosophy of Statistics”, Journal of the Royal Statistical Society, D (The Statistician), Vol. 49(3): 293–337. (Scholar)
- Mackay, D.J.C., 2003, Information Theory, Inference, and Learning Algorithms, Cambridge: Cambridge University Press. (Scholar)
- Maher, P., 1993, Betting on Theories, Cambridge Studies in Probability, Induction and Decision Theory, Cambridge: Cambridge University Press. (Scholar)
- Mayo, D.G., 1996, Error and the Growth of Experimental Knowledge, Chicago: The University of Chicago Press. (Scholar)
- –––, 2010, An error in the argument from conditionality and sufficiency to the likelihood principle, in: D. Mayo, A. Spanos (eds.), Error and Inference: Recent exchanges on experimental reasoning, reliability, and the objectivity and rationality of science, pp. 305–314, Cambridge: Cambridge University Press. (Scholar)
- Mayo, D.G., and A. Spanos, 2006, “Severe Testing as a Basic Concept in a Neyman-Pearson Philosophy of Induction”, The British Journal for the Philosophy of Science, 57: 323–357. (Scholar)
- –––, 2011, “Error Statistics”, in P.S. Bandyopadhyay and M.R. Forster, Philosophy of Statistics, Handbook of the Philosophy of Science, Vol. 7, Elsevier. (Scholar)
- Mellor, D. H., 2005, The Matter of Chance, Cambridge: Cambridge University Press. (Scholar)
- –––, 2005, Probability: A Philosophical Introduction, London: Routledge. (Scholar)
- von Mises, R., 1981, Probability, Statistics and Truth, 2nd revised English edition, New York: Dover. (Scholar)
- Mood, A. M., F. A. Graybill, and D. C. Boes, 1974, Introduction to the Theory of Statistics, Boston: McGraw-Hill. (Scholar)
- Morey, R., J.W. Romeijn and J. Rouder, 2013, “The Humble Bayesian”, British Journal of Mathematical and Statistical Psychology, 66(1): 68–75. (Scholar)
- Myung, J., V. Balasubramanian, and M.A. Pitt, 2000, “Counting probability distributions: Differential geometry and model selection”, Proceedings of the National Academy of Sciences, 97(21): 11170–11175. (Scholar)
- Nagel, T., 1939, Principles of the Theory of Probability, Chicago: University of Chicago Press. (Scholar)
- Neyman, J., 1957, “Inductive Behavior as a Basic Concept of Philosophy of Science”, Revue Institute Internationale De Statistique, 25: 7–22. (Scholar)
- –––, 1971, Foundations of Behavioristic Statistics, in: V. Godambe and D. Sprott (eds.), Foundations of Statistical Inference, Toronto: Holt, Rinehart and Winston of Canada, pp. 1–19. (Scholar)
- Neyman, J. and K. Pearson, 1928, “On the use and interpretation of certain test criteria for purposes of statistical inference”, Biometrika, A20:175–240 and 264–294. (Scholar)
- Neyman, J. and E. Pearson, 1933, “On the problem of the most efficient tests of statistical hypotheses”, Philosophical Transactions of the Royal Society, A 231: 289–337 (Scholar)
- –––, 1967, Joint Statistical Papers, Cambridge: Cambridge University Press. (Scholar)
- Nix, C. J. and J. B. Paris, 2006, “A continuum of inductive methods arising from a generalised principle of instantial relevance”, Journal of Philosophical Logic, 35: 83–115.
- Orbanz, P. and Y.W. Teh, 2010, “Bayesian Nonparametric Models”, Encyclopedia of Machine Learning, New York: Springer. (Scholar)
- Paris, J.B., 1994, The uncertain reasoner’s companion, Cambridge: Cambridge University Press. (Scholar)
- Paris, J.B. and A. Vencovska, 1989, “On the applicability of maximum entropy to inexact reasoning”, International Journal of Approximate Reasoning, 4(3): 183–224. (Scholar)
- Paris, J., and P. Waterhouse, 2009, “Atom exchangeability and instantial relevance, atom exchangeability and instantial relevance”, Journal of Philosophical Logic, 38(3): 313–332. (Scholar)
- Peirce, C. S., 1910, “Notes on the Doctrine of Chances”, in C. Hartshorne and P. Weiss (eds.), Collected Papers of Charles Sanders Peirce, Vol. 2, Cambridge MA: Harvard University Press, 405–14, reprinted 1931. (Scholar)
- Plato, J. von, 1994, Creating Modern Probability, Cambridge: Cambridge University Press. (Scholar)
- Popper, K.R., 1934/1959, The Logic of Scientific Discovery, New York: Basic Books. (Scholar)
- –––, 1959, “The Propensity Interpretation of Probability”, British Journal of the Philosophy of Science, 10: 25–42. (Scholar)
- Predd, J.B., R. Seiringer, E.H. Lieb, D.N. Osherson, H.V. Poor, and S.R. Kulkarni, 2009, “Probabilistic Coherence and Proper Scoring Rules”, IEEE Transactions on Information Theory, 55(10): 4786–4792. (Scholar)
- Press, S. J., 2002, Bayesian Statistics: Principles, Models, and Applications (Wiley Series in Probability and Statistics), New York: Wiley. (Scholar)
- Raftery, A.E., 1995, “Bayesian model selection in social research”, Sociological Methodology, 25: 111–163. (Scholar)
- Ramsey, F.P., 1926, “Truth and Probability”, in R.B. Braithwaite (ed.), The Foundations of Mathematics and other Logical Essays, Ch. VII, p.156–198, printed in London: Kegan Paul, 1931. (Scholar)
- Reichenbach, H., 1938, Experience and prediction: an analysis of the foundations and the structure of knowledge, Chicago: University of Chicago Press. (Scholar)
- –––, 1949, The theory of probability, Berkeley: University of California Press. (Scholar)
- –––, 1956, The Direction of Time, Berkeley: University of Los Angeles Press. (Scholar)
- Renyi, A., 1970, Probability Theory, Amsterdam: North Holland. (Scholar)
- Robbins, H., 1952, “Some Aspects of the Sequential Design of Experiments”, Bulletin of the American Mathematical Society, 58: 527–535. (Scholar)
- Roberts, H.V., 1967, “Informative stopping rules and inferences about population size”, Journal of the American Statistical Association, 62(319): 763–775. (Scholar)
- Romeijn, J.W., 2004, “Hypotheses and Inductive Predictions”, Synthese, 141(3): 333–364. (Scholar)
- –––, 2005, Bayesian Inductive Logic, PhD dissertation, University of Groningen. (Scholar)
- –––, 2006, “Analogical Predictions for Explicit Similarity”, Erkenntnis, 64: 253–280. (Scholar)
- –––, 2011, “Statistics as Inductive Logic”, in Bandyopadhyay, P. and M. Forster (eds.), Handbook for the Philosophy of Science, Vol. 7: Philosophy of Statistics, 751–774. (Scholar)
- Romeijn, J.W. and van de Schoot, R., 2008, “A Philosophical Analysis of Bayesian model selection”, in Hoijtink, H., I. Klugkist and P. Boelen (eds.), Null, Alternative and Informative Hypotheses, 329–357. (Scholar)
- Romeijn, J.W., van de Schoot, R., and Hoijtink, H., 2012, “One size does not fit all: derivation of a prior-adapted BIC”, in Dieks, D., W. Gonzales, S. Hartmann, F. Stadler, T. Uebel, and M. Weber (eds.), Probabilities, Laws, and Structures, Berlin: Springer. (Scholar)
- Rosenkrantz, R.D., 1977, Inference, method and decision: towards a Bayesian philosophy of science, Dordrecht: Reidel. (Scholar)
- –––, 1981, Foundations and Applications of Inductive Probability, Ridgeview Press. (Scholar)
- Royall, R., 1997, Scientific Evidence: A Likelihood Paradigm, London: Chapman and Hall. (Scholar)
- Savage, L.J., 1962, The foundations of statistical inference, London: Methuen. (Scholar)
- Schervish, M.J., T. Seidenfeld, and J.B. Kadane, 2009, “Proper Scoring Rules, Dominated Forecasts, and Coherence”, Decision Analysis, 6(4): 202–221. (Scholar)
- Schwarz, G., 1978, “Estimating the Dimension of a Model”, Annals of Statistics, 6: 461–464. (Scholar)
- Seidenfeld, T., 1979, Philosophical Problems of Statistical Inference: Learning from R.A. Fisher, Dordrecht: Reidel. (Scholar)
- –––, 1986, “Entropy and uncertainty”, Philosophy of Science, 53(4): 467–491. (Scholar)
- –––, 1992, “R.A. Fisher's Fiducial Argument and Bayes Theorem”, Statistical Science, 7(3): 358–368. (Scholar)
- Shafer, G., 1976, A Mathematical Theory of Evidence, Princeton: Princeton University Press. (Scholar)
- –––, 1982, “On Lindley’s paradox (with discussion)”, Journal of the American Statistical Association, 378: 325–351. (Scholar)
- Shore, J. and Johnson, R., 1980, “Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy”, IEEE Transactions on Information Theory, 26(1): 26–37. (Scholar)
- Skyrms, B., 1991, “Carnapian inductive logic for Markov chains”, Erkenntnis, 35: 439–460. (Scholar)
- –––, 1993, “Analogy by similarity in hypercarnapian inductive logic”, in Massey, G.J., J. Earman, A.I. Janis and N. Rescher (eds.), Philosophical Problems of the Internal and External Worlds: Essays Concerning the Philosophy of Adolf Gruenbaum, Pittsburgh: Pittsburgh University Press, 273–282. (Scholar)
- –––, 1996, “Carnapian inductive logic and Bayesian statistics”, in: Ferguson, T.S., L.S. Shapley, and J.B. MacQueen (eds.), Statistics, Probability, and Game Theory: papers in honour of David Blackwell, Hayward: IMS lecture notes, 321–336. (Scholar)
- –––, 1999, Choice and Chance: An Introduction to Inductive Logic, Wadsworth, 4th edition. (Scholar)
- Sober, E., 2004, “Likelihood, model selection, and the Duhem-Quine problem”, Journal of Philosophy, 101(5): 221–241. (Scholar)
- Spanos, A., 2010, “Is Frequentist Testing Vulnerable to the Base-Rate Fallacy?”, Philosophy of Science, 77: 565-583. (Scholar)
- –––, 2013a, “Who should be afraid of the Jeffreys–Lindley paradox?”, Philosophy of Science, 80: 73–93. (Scholar)
- –––, 2013b, “A frequentist interpretation of probability for model-based inductive inference”, Synthese, 190: 1555–1585.
- Spiegelhalter, D.J., N.G. Best, B.P. Carlin, and A. van der Linde, 2002, “Bayesian measures of model complexity and fit”, Journal of Royal Statistical Society, B 64: 583–639. (Scholar)
- Spielman, S., 1974, “The Logic of Significance Testing”, Philosophy of Science, 41: 211–225. (Scholar)
- –––, 1978, “Statistical Dogma and the Logic of Significance Testing”, Philosophy of Science, 45: 120–135. (Scholar)
- Sprenger, J., 2013, “The role of Bayesian philosophy within Bayesian model selection”, European Journal for Philosophy of Science, 3(1): 101–114. (Scholar)
- –––, forthcoming-a, “Bayesianism vs. Frequentism in Statistical Inference”, in Hajek, A. and C. Hitchcock (eds.), Oxford Handbook of Probability and Philosophy, Oxford: Oxford University Press. (Scholar)
- –––, forthcoming-b, “Testing a precise null hypothesis: The case of Lindley’s paradox”, Philosophy of Science. (Scholar)
- Spirtes, P., Glymour, C. and Scheines, R., 2001, Causation, Prediction, and Search, Boston: MIT press, 2nd edition. (Scholar)
- Solomonoff, R.J., 1964, “A formal theory of inductive inference”, parts I and II, Information and Control, 7: 1–22 and 224–254.
- Steele, K., 2013, “Persistent experimenters, stopping rules, and statistical inference”, Erkenntnis, 78(4): 937–961. (Scholar)
- Suppes, P., 2001, Representation and Invariance of Scientific Structures, Chicago: University of Chicago Press. (Scholar)
- Uffink, J., 1996, “The constraint rule of the maximum entropy principle”, Studies in History and Philosophy of Modern Physics, 27: 47–79. (Scholar)
- Vapnik, V.N. and S. Kotz, 2006, Estimation of Dependences Based on Empirical Data, New York: Springer. (Scholar)
- Venn, J., 1888, The Logic of Chance, London: MacMillan, 3rd edition. (Scholar)
- Wagenmakers, E.J., 2007, “A practical solution to the pervasive problems of p values”, Psychonomic Bulletin and Review 14(5), 779–804.
- Wagenmakers, E.J., and L.J. Waldorp, (eds.), 2006, Journal of Mathematical Psychology, 50(2). Special issue on model selection, 99–214. (Scholar)
- Wald, A., 1939, “Contributions to the Theory of Statistical Estimation and Testing Hypotheses”, Annals of Mathematical Statistics, 10(4): 299–326. (Scholar)
- –––, 1950, Statistical Decision Functions, New York: John Wiley and Sons. (Scholar)
- Walley, P., 1991, Statistical Reasoning with Imprecise Probabilities, New York: Chapman & Hall. (Scholar)
- Williams, P.M., 1980, “Bayesian conditionalisation and the principle of minimum information”, British Journal for the Philosophy of Science, 31: 131–144. (Scholar)
- Williamson, J., 2010, In Defence of Objective Bayesianism, Oxford: Oxford University Press. (Scholar)
- Ziliak, S.T. and D.N. McCloskey, 2008, The Cult of Statistical Significance, Ann Arbor: University of Michigan Press. (Scholar)
- Zabell, S.L., 1992, “R. A. Fisher and Fiducial Argument”, Statistical Science, 7(3): 358–368. (Scholar)
- –––, 1982, “W. E. Johnson's ‘Sufficientness’ Postulate”, Annals of Statistics, 10(4): 1090–1099. (Scholar)