Re: need condition for greater than zero
From: Greg Heath (heath_at_alumni.brown.edu)
Date: 06/07/04
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Date: Mon, 7 Jun 2004 04:57:34 -0400
"ZHANG Yan" <buaanupt@sina.com> wrote in message
news:9e847e5e.0406062340.73df52ac@posting.google.com...
> 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)
What does "*" mean"? I'll remove it in the response below.
Do you mean
A = Integral ( G(x)* f_X(x), 0, INFINITE) ("*" means multiplication)
where G(x) is the inverse L.T. of g(s)?
Hope this helps.
> where Integral( ..., 0, INFINITE) represents the integral from zero to
> positive infinite. InverseLaplace(g*(s)) represents the inverse
> laplace 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.
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