Applications of Quantum Statistics in Psychological Studies of Decision Processes
We present a new approach to the old problem of how to incorporate the role of the observer in statistics. We show classical probability theory to be inadequate for this task and take refuge in the epsilon-model, which is the only model known to us capable of handling situations between quantum and classical statistics. An example is worked out and some problems are discussed as to the new viewpoint that emanates from our approach.
Key wordsQuantum mechanics Statistics Psychology Quantum structures Non-Baysian statistics Interactive statistics
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- Aerts, D., Durt, T., Van Bogaert, B. (1993), Indeterminism, non-locality and the classical limit, in: Symposium on the Foundations of modern Physics, Helsinki, World Scientific, Singapore.Google Scholar
- Aerts, D. (1993), Quantum structures due to fluctuations of the measurement, International Journal of Theoretical Physics, vol 32, nr.12.Google Scholar
- Aerts, D., Durt, T. (1994), Quantum, Classical and Intermediate: an illustrative example, in: Foundations of Physics.Google Scholar
- Accardi, L. Fedullo, A. (1982), On the statistical meaning of Complex numbers in Quantum Mechanics, Al nuovo cimento, Vol.34, nr.7.Google Scholar
- Pitowsky, I. (1989), Quantum Probability — Quantum Logic, Springer Verlag.Google Scholar
- Aerts, D., Aerts S., Interactive Probability Models: From Quantum to Kolmogorovian, preprint, VUB pleinlaan 2, 1050 Brussels, Belgium.Google Scholar