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Book 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).
- 1.
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
(57 #7715)
- 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.
P. Dempster, Upper and lower probabilities induced by a multivalued
mapping, Ann. Math. Statist. 38 (1967),
325–339. MR 0207001
(34 #6817)
- 4.
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) Reidel, Dordrecht, 1976, pp. 365–436. Univ. Western
Ontario Ser. Philos. Sci., Vol. 6. With a discussion by the author, I. J.
Good and D. V. Lindley. MR 0501226
(58 #18637)
- 5.
Terrence
L. Fine, Theories of probability: an examination of
foundations, Academic Press, New York-London, 1973. MR 0433529
(55 #6505)
- 6.
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
(18,155e)
- 7.
Rudolf
Carnap, Logical foundations of probability, Second edition,
The University of Chicago Press, Chicago, Ill., 1962. MR 0184839
(32 #2310)
- 8.
I.
J. Good, Probability and the Weighing of Evidence, Charles
Griffin & Co., Ltd., London; Hafner Publishing Co., New York, N. Y.,
1950. MR
0041366 (12,837h)
- 9.
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
(53 #4153)
- 10.
Henry
E. Kyburg Jr., The logical foundations of statistical
inference, D. Reidel Publishing Co., Dordrecht-Boston, Mass., 1974.
Synthese Library, Vol. 65. MR 0533283
(58 #27238)
- 1.
- I. Hacking, The emergence of probability, Cambridge Univ, Press, London and New York, 1975. MR 467864
- 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:
http://dx.doi.org/10.1090/S0002-9904-1977-14338-3
PII:
S 0002-9904(1977)14338-3
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