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Mathematics
Set Theory, Logic, Probability, Statistics
How to find PDF and Expected value of max(x,0), for a random variable x
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[QUOTE="user_01, post: 6782669, member: 721508"] Let $a,b,c, \tau$ be positive constants and $x$ is an exponentially distributed variable with parameter $\lambda = 1$, i.e. $x\sim\exp(1)$. \begin{equation} E = \tau\Big[a\frac{1+a}{1+e^{-bx+c}} - 1 \Big]^+ \end{equation} where $[z]^+ = \max(z,0)$ How can I find [LIST=1] [*]The PDF for $E$ [*]The expected value of E. [/LIST] [/QUOTE]
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Forums
Mathematics
Set Theory, Logic, Probability, Statistics
How to find PDF and Expected value of max(x,0), for a random variable x
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