Les mathématiques utilisées en psychologie mathématique
Mathématiques et sciences humaines, Tome 13 (1965), pp. 23-39.
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     title = {Les math\'ematiques utilis\'ees en psychologie math\'ematique},
     journal = {Math\'ematiques et sciences humaines},
     pages = {23--39},
     publisher = {Ecole Pratique des hautes \'etudes, Centre de math\'ematique sociale et de statistique},
     volume = {13},
     year = {1965},
     language = {fr},
     url = {http://www.numdam.org/item/MSH_1965__13__23_0/}
}
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Luce, R. D. Les mathématiques utilisées en psychologie mathématique. Mathématiques et sciences humaines, Tome 13 (1965), pp. 23-39. http://www.numdam.org/item/MSH_1965__13__23_0/

1 J. Aczél, On mean values, Bull. Amer. Math. Soc. 54 (1948) 392-400. | MR | Zbl

2 J. Aczél. Vorlesungen über Funktionalgleichungen und ihre Anwendungen, Birkhauser. Basel and Stuttgart, 1961. | MR | Zbl

3 R.C. Atkinson and W.K. Estes, Stimulus sampling theory. In R.D. Luce, R.R. Bush and E. Galanter (Eds) Hand book of Mathematical psychology, vol. II, Wiley, New York, 1963, 121-268.

4 R.R, Bush, E. Galanter, and R.D. Luce, Characterization and classification of choices experiments, Handbook of mathematical psychology, vol. I 77-102.

5 R.R. Bush and F. Mosteller, Stochastic models for learning, Wiley, New-York, 1955. | MR | Zbl

6 N.R. Campbell, Physics; The éléments, Cambridge University Press, New-York, 1920, reprinted as Foundations of Sciences: The Philosophy of Theory and experiment, Dover, New York 1957.

7 N. Chomsky, Formal proparties of grammars, Handbook of Mathematical psychology. vol. II 323-418.

8 N. Chomsky and G.A. Miller, Introduction to the formal analysis of natural languages. Handbook of mathematical psychology, vol. II, 269-321.

9 D. Davidson, P. Suplies, and S. Siégea Decision making, Stanford University Press, 1957.

10 W.K. Estes, Toward a statistical theory of learning, Psychol. Rev., 57 (1950) 94-107. Reprinted in R.D. Luce, R.R. Luce, and E. Galanter (Eds.) Readings mathematical psychology, vol. I Wiley, New-York, 1953, 308-321.

11 D.M. Green, Psychoacoustics and detection theory, J. Acoust. Soc. Amer., 32 (1960) 1189-1203. Reprinted in Readings in mathematical psychology, 41-66.

12 F. Harary, Graph theoretic methods in the management sciences, Management Science, 5 (1959) 387-403. | MR | Zbl

13 L. Kanal, A functional equation analysis of two learning models, Psychometrika, 27 (1962) 89-104. Reprinted in Readings in mathematical psychology, 360-375. | MR | Zbl

14 S. Karlin, Some random walks arising in learning models I, Pac. J. Math., 3 (1953) 725-756. Reprinted in Readings in mathematical psychology, 381-403. | MR | Zbl

15 J. Lamperti and P. Suppes, Chains of infinite order and their applications to learning theory, Pacific J. Math., 9 (1959) 739-754. | MR | Zbl

16 R.D. Luce, Individual choices behavior, Wiley, New-York, 1959. | MR | Zbl

17 R.D. Luce, A threshold theory for simple detections experiments, Psychol. rev., 70 (1963) 61-79.

18 R.D. Luce, Detection and récognition, Handbook of mathematical psychology, vol. I, 103-189.

19 R.D. Luce, Some one-parameter commutative learning operators. In R.C. Atkinson (Ed.) Studies in mathematical psychology, Stanford University Press 1963.

20 R.D. Luce and J. Tuckey, Simultaneous conjoint measurement: a new type of fundamental measurement, J. Math. Psych., 1 (1964). | Zbl

21 W.J. Mc Gill, Stochastic latency mechanisms, Handbook of mathematical psychology, vol. 1, 309-360.

22 G.A. Miller and N. Chomsky, Finitary models of languages users, Handbook of mathematical psychology, vol. II, 419-492.

23 J. Pfanzagl, A general theory of measurement: application to utility, Naval Res. Logistics Quaterly, 6 (1959) 283-294. | Zbl

24 F.P. Ramsey, The foundations of mathematics and other logical essays, Harcourt, Brace and Company, New-York, 1931.

25 A. Rappoport, Mathematical models of social interaction, Handbook of mathematical psychology, vol. II, 493-579.

26 L.J. Savage, The foundations of statistics, Wiley, New-York, 1954. | MR | Zbl

27 S. Sternberg, Stochastic learning theory, Handbook of mathematical psychology, vol. II, 1-120.

28 P. Suppes and J.L. Zinnes, Basic measurement theory, Handbook of mathematical psychology, vol. I, 1-76.

29 M. Tatsuoka and F. Mosteller, A commuting-operator model. In R.R. Bush and W.K. Estes (Eds) Studies in mathematical learning theory, Stanford University press, 1959, 227-247.

30 L.L. Thurstone, Multiple factor analysis, University of Chicago Press, 1947. | MR | Zbl

31 L.L. Thurstone, The measurement of values, University of Chicago Press, 1959.

32 W.S. Torgerson, Theory and methods of scaling, Wiley, New-York, 1958.

33 J. Von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton University Press, 1944 (Ist Ed.) 1949 (2nd Ed.). | MR | Zbl