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Semiclassical information from deformed and escort information measures

Author

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  • Pennini, F.
  • Plastino, A.
  • Ferri, G.L.

Abstract

Escort distributions are a well established but (for physicists) a relatively new concept that is rapidly gaining wide acceptance in world. In this work we wish to revisit the concept within the strictures of the celebrated semiclassical Husimi distributions (HDs) and thereby investigate the possibility of extracting new semiclassical information contained, not in the HD themselves, but in their associated escort Husimi distributions. We will also establish relations, for various information measures, between their deformed versions [J. Naudts, Physica A 316 (2002) 323] and those built up with escort HDs. Bounds on the concomitant power exponents will be determined.

Suggested Citation

  • Pennini, F. & Plastino, A. & Ferri, G.L., 2007. "Semiclassical information from deformed and escort information measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 782-796.
    • Handle: RePEc:eee:phsmap:v:383:y:2007:i:2:p:782-796
    DOI: 10.1016/j.physa.2007.05.009
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    Citations

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    Cited by:

    1. Ghosh, Abhik, 2023. "Optimal guessing under nonextensive framework and associated moment bounds," Statistics & Probability Letters, Elsevier, vol. 197(C).
    2. Bercher, J.-F., 2013. "Some properties of generalized Fisher information in the context of nonextensive thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3140-3154.
    3. Bercher, J.-F., 2012. "A simple probabilistic construction yielding generalized entropies and divergences, escort distributions and q-Gaussians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(19), pages 4460-4469.

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