Voigt profile
Probability distribution / From Wikipedia, the free encyclopedia
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The Voigt profile (named after Woldemar Voigt) is a probability distribution given by a convolution of a Cauchy-Lorentz distribution and a Gaussian distribution. It is often used in analyzing data from spectroscopy or diffraction.
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Probability density function Plot of the centered Voigt profile for four cases. Each case has a full width at half-maximum of very nearly 3.6. The black and red profiles are the limiting cases of the Gaussian (γ =0) and the Lorentzian (σ =0) profiles respectively. | |||
Cumulative distribution function | |||
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Support | |||
CDF | (complicated - see text) | ||
Mean | (not defined) | ||
Median | |||
Mode | |||
Variance | (not defined) | ||
Skewness | (not defined) | ||
Excess kurtosis | (not defined) | ||
MGF | (not defined) | ||
CF |
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