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[EMAIL PROTECTED] (ZHANG Yan) wrote in message news:<[EMAIL PROTECTED]>...
> Suppose that X is nonnegative continuous random variable with
> probability density function f_X(x).
>
> Now, we have
>
> A = Integral ( InverseLaplace(g*(s)) f_X(x), 0, INFINITE)
>
> where Integral( ..., 0, INFINITE) represents the integral from zero to
> positive infinite. InverseLaplace(g*(s)) represents the inverse
> laplace of g*(s).
g*(s) meaning the complex conjugate of g(s)?
>
> If A is greater(or less) than zero, then what condition should the
> function g*(s) satisfy ? Thank you very much for suggetions. Regards.
Let G(x) = inverselaplace(g*(s)).
It looks like you are asking what the conditions on g(s) are
for the expectation of G(x) to be positive. Is that correct?
Randy
