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1 results

  • Probabilistic profiles of continuously replenished spherically symmetric clouds

  • M. L. Sturgeon
  • Journal:
    Advances in Applied Probability / Volume 20 / Issue 2 / June 1988
    Published online by Cambridge University Press:
    01 July 2016, pp. 245-260
    Print publication:
    June 1988

  • The evolution of a spherically symmetric cloud, continuously replenished from a Gaussian source with particle speed parameter σ, is characterized at time τ by a folded normal radial density with parameter στ and constant growth rates for p-percentile envelopes. Density functions for the speed of particles seen in profile by an optical sensor with a 4π steradian field of view at various times τ>0 and distances L ≦ ∞ are derived and related to the Rayleigh and Maxwell laws associated with i.i.d. N(0, σ) velocity components.