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Randomness, independence, and hypotheses

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Bibliography

  1. Chaitin, G., ‘A Theory of Program Size Formally Identical to Information Theory’, J. Assn. Comp. Mach. 22 (1975), 329–340.

    Google Scholar 

  2. Chung, K. L., A Course in Probability Theory, Harcourt, Brace and World, Inc., 1968.

  3. de Finetti, B., Theory of Probability, Vol. I, John Wiley, 1974.

  4. Doob, J. L., ‘A Note on Probability’, Ann. Math. 37 (1936), 363–367.

    Google Scholar 

  5. Fine, T., Theories of Probability: An Examination of Foundations, Academic Press, 1974.

  6. Gillies, D. A., An Objective Theory of Probability, Methuen & Co. Ltd., 1973.

  7. Hacking, I., The Logic of Statistical Inference, Cambridge University Press, 1965.

  8. Hoel, P. G., Introduction to Mathematical Statistics (2nd ed.), John Wiley, 1954.

  9. Kolmogorov, A. N., Foundations of the Theory of Probability, Chelsea Publishing Company, 1956.

  10. Kolmogorov, A. N., ‘Logical Basis for Information Theory and Probability’, I.E.E.E. Trans. Inf. Theory, Vol. IT-14 (1968), 662–664.

    Google Scholar 

  11. Lindley, D. V., Introduction to Probability and Statistics Part I, Cambridge University Press, 1965.

  12. Loève, M., Probability Theory (2nd ed.), Van Nostrand, 1960.

  13. Mood, A. M. and Graybill, F. A., Introduction to the Theory of Statistics (2nd. ed.), McGraw-Hill, 1963.

  14. Martin-Löf, P., ‘The Definition of Random Sequences’, Information and Control 9 (1966), 602–619.

    Google Scholar 

  15. Martin-Löf, P., ‘The Literature on von Mises' Kollectivs Revisited’, Theoria 35 (1969), 12–37.

    Google Scholar 

  16. Martin-Löf, P., ‘On the Notion of Randomness’, in A. Kino, J. Myhill, and R. E. Vesley (eds.), Proceedings of the Conference on Intuitionism and Proof Theory, North-Holland Publ. Co., 1970.

  17. Schnorr, C. P., ‘A Unified Approach to the Definition of Random Sequences’, Math. Systems Theory 5 (1971), 246–258.

    Google Scholar 

  18. Ville, J., Étude critique de la notion de kollectif, Gauthier-Villars, 1939.

  19. von Mises, R., Mathematical Theory of Probability and Statistics, H. Geiringer (ed.), Academic Press, 1964.

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Humphreys, P.W. Randomness, independence, and hypotheses. Synthese 36, 415–426 (1977). https://doi.org/10.1007/BF00486105

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