A Laplace inverse transformation of a random variable sequence of independent same exponential distribution
Cui Shang · Journal of Jilin Institute of Chemical Technology · 2002
A large number law of part sum function is established in the random variable sequence of independent same exponential distribution. Starting from the large number law, a inverse result of Laplace transformation is obtained by using the differential nature of image function in the Laplace transformation. The consistency of the original image function expressed by the result in the arbitrary finite interval of (0,∞) is proved.