Weibull-type limiting distribution for replicative systems.

  title={Weibull-type limiting distribution for replicative systems.},
  author={Junghyo Jo and Jean-Yves Fortin and M.Y. Choi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={83 3 Pt 1},
  • Junghyo JoJ. FortinM. Choi
  • Published 15 March 2011
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The Weibull function is widely used to describe skew distributions observed in nature. However, the origin of this ubiquity is not always obvious to explain. In the present paper, we consider the well-known Galton-Watson branching process describing simple replicative systems. The shape of the resulting distribution, about which little has been known, is found essentially indistinguishable from the Weibull form in a wide range of the branching parameter; this can be seen from the exact series… 

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