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单词 Maxwell Distribution
释义

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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更新时间:2024/11/15 2:15:28