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StatsMaxwellPDF

StatsMaxwellPDF (x, k)

The StatsMaxwellPDF function returns Maxwell's probability distribution function

f(x;k)=2πk3/2x2exp(kx22),x>0.\displaystyle f(x ; k)=\sqrt{\frac{2}{\pi}} k^{3 / 2} x^{2} \exp \left(-\frac{k x^{2}}{2}\right), \quad x>0 .

The Maxwell distribution describes, for example, the speed distribution of molecules in an ideal gas.

See Also

Statistical Analysis, StatsMaxwellCDF, StatsInvMaxwellCDF