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Generalized Boltzmann factors induced by Weibull-type distributions

Author

Listed:
  • Mathai, A.M.
  • Provost, Serge B.

Abstract

The inverse Mellin transform technique is utilized to obtain closed form representations of the generalized Boltzmann factors associated with several Weibull-type models such as the generalized gamma, Maxwell, Rayleigh and half-normal distributions. The results complement those already available in the Physics literature in connection with the distribution of certain variables affecting the behavior of nonequilibrium systems subject to complex dynamics, which include for instance computable expressions for the generalized Boltzmann factors induced by the gamma, F, uniform and lognormal statistical models.

Suggested Citation

  • Mathai, A.M. & Provost, Serge B., 2013. "Generalized Boltzmann factors induced by Weibull-type distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 545-551.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:4:p:545-551
    DOI: 10.1016/j.physa.2012.10.030
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    References listed on IDEAS

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    1. Nadarajah, Saralees & Kotz, Samuel, 2006. "On The Product And Ratio Of Gamma And Weibull Random Variables," Econometric Theory, Cambridge University Press, vol. 22(2), pages 338-344, April.
    2. Beck, Christian, 2006. "Stretched exponentials from superstatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 96-101.
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