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Probabilistic profiles of continuously replenished spherically symmetric clouds

Published online by Cambridge University Press:  01 July 2016

M. L. Sturgeon
M. L. Sturgeon*
Affiliation:
MATH/STAT
*
∗Postal address: MATH/STAT, 45 Blaisdell, Carlisle, MA 01741, USA.
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Abstract

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.

Keywords

GAUSSIAN CLOUDCLOUD GROWTH RATECLOUD PROFILE SPEEDSOPTICAL SENSOR
Type
Research Article
Information
Advances in Applied Probability , Volume 20 , Issue 2 , June 1988 , pp. 245 - 260
Copyright
Copyright © Applied Probability Trust 1988 

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References

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