Abstract
This paper is about quantum probability for econometricians. The intent is to lay down necessary material on quantum probability calculus to develop associated statistics for economic applications, and not for physics or quantum mechanics.
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References
Bera, A., & Park, S. (2008). Optimal portfolio diversification using maximum entropy principle. Econometric Review, 27, 484–512.
Busemeyer, J. R., & Bruza, P. D. (2012). Quantum models of cognition and decision. Cambridge: Cambridge University Press.
Feynman, R. (1951). The concept of probability in quantum mechanics. In Berkeley Symposium on Mathematical Statistics (pp. 533–541). University of California.
Feynman, R., & Hibbs, A. (1965). Quantum mechanics and path integrals. New York: Dover.
Golan, A., Judge, G., & Miller, D. (1996). Maximum entropy econometrics. New York: Wiley.
Haven. E., & Khrennikov. A. (2013). Quantum social science. Cambridge: Cambridge University Press.
Herzog, B. (2015). Quantum models of decision-making in economics. Journal of Quantum Information Science, 5, 1–5.
Nguyen, H. T. (2019). Toward improving models for decision making in economics. Asian Journal of Economics and Banking, 3(01), 1–19.
Nguyen, H. T. (2006). An introduction to random sets. Boca Raton: Chapman and Hall/ CRC Press.
Parthasarathy, K. R. (1992). An introduction to quantum stochastic calculus. Basel: Springer.
Pasca, L. (2015). A critical review of the main approaches on financial market dynamics modeling. Journal of Heterodox Economics, 2(2), 151–167.
Patra, S. (2019). A quantum framework for economic science: New directions (No. 2019-20). Economics.
von Neumann, J. (2018). Mathematical foundations of quantum mechanics (New ed.). Princeton: Princeton University Press.
Vukotic, V. (2011). Quantum economics. Panoeconomics, 2, 267–276.
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Nguyen, H.T., Duc Trung, N., Ngoc Thach, N. (2021). An Invitation to Quantum Probability Calculus. In: Ngoc Thach, N., Kreinovich, V., Trung, N.D. (eds) Data Science for Financial Econometrics. Studies in Computational Intelligence, vol 898. Springer, Cham. https://doi.org/10.1007/978-3-030-48853-6_9
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DOI: https://doi.org/10.1007/978-3-030-48853-6_9
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