Maxwell Distribution
The distribution of speeds of molecules in thermal equilibrium as given by statistical mechanics. 
The probability and cumulative distributions are
 |  |  | (1) |
 | |  | (2) |
where
is an incomplete Gamma Function and 
. The moments are | |  | (3) |
 | |  | (4) |
 | |  | (5) |
 | |  | (6) |
and the Mean, Variance, Skewness, and Kurtosis are
| | | (7) |
 | |  | (8) |
 | |  | (9) |
 | |  | (10) |
See also Exponential Distribution, Gaussian Distribution, Rayleigh Distribution
References
Spiegel, M. R. Theory and Problems of Probability and Statistics. New York: McGraw-Hill, p. 119, 1992. von Seggern, D. CRC Standard Curves and Surfaces. Boca Raton, FL: CRC Press, p. 252, 1993.
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