@Article{JCM-18-2, author = {Xu, Ji-Hua and Zhao, Jing-Hui}, title = {Moment Generating Functions of Random Variables and Asymptotic Behaviour for Generalized Feller Operators}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {2}, pages = {173--182}, abstract = {

After giving the representation of moment generating function for the $S$-$λ$ type random variable by solving a differential equation, we prove that this type random variable is of regular $n$-$r$ order moment. Furthermore, we establish the higher order asymptotic formula for generalized Feller operators by making use of the generalized Taylor formula.

}, issn = {1991-7139}, doi = {https://doi.org/2000-JCM-9033}, url = {https://global-sci.com/article/85540/moment-generating-functions-of-random-variables-and-asymptotic-behaviour-for-generalized-feller-operators} }