Weibull Distribution

$f(x)\; =\; (k/\backslash lambda)\; (x/\backslash lambda)^\{(k-1)\}\; e^\{-(x/\backslash lambda)^k\}\; \backslash qquad\; \backslash mbox\{for\; \}\; x>0$

$F(x)\; =\; 1-\; e^\{-(x/\backslash lambda)^k\}\; \backslash qquad\; \backslash mbox\{for\; \}\; x>0$

E(X) = λ Γ((k + 1) / k) and

var(X) = λ²+ 2) / k) - Γ²((k + 1) / k)

External links

• The Weibull distribution (with examples, properties, and calculators).
• The Weibull plot.

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