Universal Statistics of Incubation Periods and Other Detection Times via Diffusion Models

  title={Universal Statistics of Incubation Periods and Other Detection Times via Diffusion Models},
  author={Yuri Bakhtin},
  journal={Bulletin of Mathematical Biology},
  • Yuri Bakhtin
  • Published 16 April 2018
  • Computer Science
  • Bulletin of Mathematical Biology
We suggest an explanation of typical incubation times statistical features based on the universal behavior of exit times for diffusion models. We give a mathematically rigorous proof of the characteristic right skewness of the incubation time distribution for very general one-dimensional diffusion models. Imposing natural simple conditions on the drift coefficient, we also study these diffusion models under the assumption of noise smallness and show that the limiting exit time distributions in… 
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