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A • STATISTICAL DISTRIBUTIONS<br />

Weibull(, ): WEIBULL(Beta, Alpha) or WEIB(Beta, Alpha)<br />

Probability<br />

Density<br />

Function<br />

f(x) =<br />

a – a x a 1<br />

– e x <br />

0 otherwise<br />

– a<br />

for x <br />

Parameters<br />

Shape parameter () and scale parameter ) specified as positive real values.<br />

Range [0, + )<br />

Mean<br />

<br />

-- 1<br />

a ā - , where is the complete gamma function (see gamma distribution).<br />

<br />

Variance<br />

2 <br />

---- 2 2<br />

a ā - 1<br />

-- 1<br />

a ā - 2 –<br />

<br />

<br />

<br />

167

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