Let F(x) = 1 - e^{- \alpha x^{\beta}} for $\displaystyle x \geq 0$ ; $\displaystyle \alpha > 0$ ; \beta > 0 ; and $\displaystyle F(x) = 0$ for $\displaystyle x < 0$.

Show F is a cdf and find the corresponding density.

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- Jul 26th 2008, 08:33 AMjanvdlDensity Functions
Let F(x) = 1 - e^{- \alpha x^{\beta}} for $\displaystyle x \geq 0$ ; $\displaystyle \alpha > 0$ ; \beta > 0 ; and $\displaystyle F(x) = 0$ for $\displaystyle x < 0$.

Show F is a cdf and find the corresponding density. - Jul 26th 2008, 10:31 AMCaptainBlack