================================================================== The gateway between this list and the sci.stat.edu newsgroup will be disabled on June 9. This list will be discontinued on June 21. Subscribe to the new list EDSTAT-L at Penn State using the web interface at http://lists.psu.edu/archives/edstat-l.html. ================================================================== . Thanks all comments. hope that the following is more clear.
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). We can denote that G(x) = InverseLaplace(g(s)). My question is as follows: If A is greater(or less) than zero, then what condition should the function g(s) satisfy, or any requirement for the function g(s)? Thank you very much for suggetions. Regards.
