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Boundary-layer height detection with a ceilometer at a coastal ... - Orbit

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where ¯x and ȳ are the sample means of x and y.<br />

Gamma distribution<br />

The Gamma distribution is a continuous probability density function of two free parameters<br />

α and s. The general form of a Gamma distributed random variable, x, is<br />

f(x; α, s) = x α−1 ·<br />

e −x/s<br />

s α · Γ(α)<br />

where α is the shape parameter, s is the scale parameter and Γ is the Gamma function.<br />

The mean of the Gamma distribution is given by αs and the mean is √ αs (Liu and Liang,<br />

2010).<br />

(13)<br />

DTU Wind Energy Master Thesis M-0039 15

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