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Parameter estimation by fixed point of function of information processing intensity

Author

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  • Jankowski, Robert
  • Makowski, Marcin
  • Piotrowski, Edward W.

Abstract

We present a new method of estimating the dispersion of a distribution which is based on the surprising property of a function that measures information processing intensity. It turns out that this function has a maximum at its fixed point. Fixed-point equation is used to estimate the parameter of the distribution that is of interest to us. The main result consists in showing that only part of available experimental data is relevant for the parameters estimation process. We illustrate the estimation method by using the example of an exponential distribution.

Suggested Citation

  • Jankowski, Robert & Makowski, Marcin & Piotrowski, Edward W., 2014. "Parameter estimation by fixed point of function of information processing intensity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 558-563.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:558-563
    DOI: 10.1016/j.physa.2014.09.013
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    References listed on IDEAS

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    1. Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2010. "Subjective modelling of supply and demand—the minimum of Fisher information solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4904-4912.
    2. Piotrowski, Edward W., 2003. "Fixed point theorem for simple quantum strategies in quantum market games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 196-200.
    3. Piotrowski, Edward W. & Sładkowski, Jan, 2002. "Quantum bargaining games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 391-401.
    4. Piotrowski, E.W. & Sładkowski, J., 2003. "The merchandising mathematician model: profit intensities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 496-504.
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    Cited by:

    1. Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017. "Profit intensity and cases of non-compliance with the law of demand/supply," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 53-59.
    2. Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015. "The intensity of the random variable intercept in the sector of negative probabilities," Papers 1503.07495, arXiv.org.

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