Book Review
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MathSciNet review:
1566967
Full text of review:
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Book Information:
Author:
Glenn Shafer
Title:
A mathematical theory of evidence
Additional book information:
Princeton Univ. Press, Princeton, New Jersey, 1976, xiii + 297 pp., $17.50 (cloth) and $8.95 (paper).
Ian Hacking, The emergence of probability, Cambridge University Press, London-New York, 1975. A philosophical study of early ideas about probability, induction and statistical inference. MR 0467864
2. J. Bernoulli, Ars conjectandi, Pars quarta (1713); English transl, by Bing Sung, Tech. Report 12, February 1966, Dept. of Statistics, Harvard Univ., Cambridge, Mass.
A. P. Dempster, Upper and lower probabilities induced by a multivalued mapping, Ann. Math. Statist. 38 (1967), 325–339. MR 207001, DOI 10.1214/aoms/1177698950
Glenn Shafer, A theory of statistical evidence, Foundations of probability theory, statistical inference, and statistical theories of science (Proc. Internat. Res. Colloq., Univ. Western Ontario, London, Ont., 1973) Univ. Western Ontario Ser. Philos. Sci., Vol. 6, Reidel, Dordrecht, 1976, pp. 365–436. With a discussion by the author, I. J. Good and D. V. Lindley. MR 0501226
Terrence L. Fine, Theories of probability: an examination of foundations, Academic Press, New York-London, 1973. MR 0433529
A. N. Kolmogorov, Foundations of the theory of probability, Chelsea Publishing Co., New York, 1956. Translation edited by Nathan Morrison, with an added bibliography by A. T. Bharucha-Reid. MR 0079843
Rudolf Carnap, Logical foundations of probability, 2nd ed., University of Chicago Press, Chicago, Ill., 1962. MR 0184839
I. J. Good, Probability and the Weighing of Evidence, Charles Griffin & Co., Ltd., London; Hafner Publishing Co., New York, N. Y., 1950. MR 0041366
I. J. Good, The probabilistic explication of information, evidence, surprise, causality, explanation, and utility, Foundations of statistical inference (Proc. Sympos., Univ. Waterloo, Waterloo, Ont., 1970) Holt, Rinehart and Winston of Canada, Toronto, Ont., 1971, pp. 108–141. With comments by G. A. Barnard, I. D. J. Bross, V. P. Godambe and H. E. Kyburg and a reply by the author. MR 0400318
Henry E. Kyburg Jr., The logical foundations of statistical inference, Synthese Library, Vol. 65, D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1974. MR 0533283
- 1.
- I. Hacking, The emergence of probability, Cambridge Univ, Press, London and New York, 1975. MR 0467864
- 2.
- J. Bernoulli, Ars conjectandi, Pars quarta (1713); English transl, by Bing Sung, Tech. Report 12, February 1966, Dept. of Statistics, Harvard Univ., Cambridge, Mass.
- 3.
- A. Dempster, Upper and lower probabilities induced by a multivalued mapping, Ann. Math. Statist. 38 (1967), 325-339. MR 34 #6817. MR 207001
- 4.
- G. Shafer, A theory of statistical evidence, Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science (W. Harper and C. Hooker, Editors), Reidel, Dordrecht, Holland (to appear). MR 501226
- 5.
- T. Fine, Theories of probability, Academic Press, New York, 1973, pp. 90-94. MR 433529
- 6.
- A. Kolmogorov, Foundations of the theory of probability, 2nd ed., English transl., Chelsea, New York, 1956, p. 9. MR 18, 155. MR 79843
- 7.
- R. Carnap, Logical foundations of probability, 2nd ed., Univ. of Chicago Press, Chicago, 1962. MR 32 #2310. MR 184839
- 8.
- I. J. Good, Probability and the weighing of evidence, Griffin, London, Hafner, New York, 1950. MR 12, 837. MR 41366
- 9.
- I. J. Good, The probabilistic explication of information, evidence, surprise, causality, explanation, and utility, Foundations of Statistical Inference (V. Godambe and D. Sprott, Editors), Holt, Rinehart, and Winston, Toronto, Canada, 1971, pp. 108-141. MR 51 #9280. MR 400318
- 10.
- H. Kyburg, Jr., Logical foundations of statistical inference, Reidel, Dordrecht, Holland, 1974. MR 533283
Review Information:
Reviewer:
Terrence L. Fine
Journal:
Bull. Amer. Math. Soc.
83 (1977), 667-672
DOI:
https://doi.org/10.1090/S0002-9904-1977-14338-3
